TY - JOUR A1 - Hildebrand, Jörg A1 - Hecht, Kerstin A1 - Bliedtner, Jens A1 - Müller, Hartmut T1 - Laser Beam Polishing of Quartz Glass Surfaces JF - Physics Procedia N2 - The laser beam is a small, flexible and fast polishing tool. With laser radiation it is possible to finish many outlines or geometries on quartz glass surfaces in the shortest possible time. It's a fact that the temperature developing while polishing determines the reachable surface smoothing and, as a negative result, causes material tensions. To find out which parameters are important for the laser polishing process and the surface roughness respectively and to estimate material tensions, temperature simulations and extensive polishing experiments took place. During these experiments starting and machining parameters were changed and temperatures were measured contact-free. KW - Laser KW - Quarzglas KW - Polieren KW - Berührungslose Messung KW - Temperatur KW - Laser; quartz glass; polishing; temperature; residual stress; simulation; contactless measurement Y1 - 2011 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170418-31366 UR - http://www.sciencedirect.com/science/article/pii/S1875389211001350 SP - 452 EP - 461 ER - TY - JOUR A1 - Hildebrand, Jörg A1 - Hecht, Kerstin A1 - Bliedtner, Jens A1 - Müller, Hartmut T1 - Advanced Analysis of Laser Beam Polishing of Quartz Glass Surfaces JF - Physics Procedia N2 - The laser beam is a small, flexible and fast polishing tool. With laser radiation it is possible to finish many outlines or geometries on quartz glass surfaces in the shortest possible time. It’s a fact that the temperature developing while polishing determines the reachable surface smoothing and, as a negative result, causes material tensions. To find out which parameters are important for the laser polishing process and the surface roughness respectively and to estimate material tensions, temperature simulations and extensive polishing experiments took place. During these experiments starting and machining parameters were changed and temperatures were measured contact-free. The accuracy of thermal and mechanical simulation was improved in the case of advanced FE-analysis. KW - Laser KW - Berührungslose Messung KW - Polieren KW - Empfindlichkeit KW - Quarzglas KW - laser; contactless measurement; quartz glass; polishing; temperature; residual stress; simulation; sensitivity Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170418-31372 UR - http://www.sciencedirect.com/science/article/pii/S1875389212025667 SP - 277 EP - 285 ER - TY - THES A1 - Thumser, Rayk T1 - Simulation des Rissfortschritts in autofrettierten und nicht autofrettierten Bohrungsverschneidungen auf der Grundlage der linear-elastischen Bruchmechanik T1 - Crack Growth Simulation on Autofrettaged and Not Autofrettaged Cross Borings on the Basis of Linear Elastic Fracture Mechanics N2 - Die betriebsfeste Auslegung von Hochdruckbauteilen ist technisch-wirtschaftlich notwendig. In dieser Arbeit werden die wissenschaftlichen Grundlagen dafür erarbeitet. Die technische Entwicklung der Hochdruckbauteile führt insbesondere bei Dieselmotoren zu stetig steigenden Drücken und damit zu einer wachsenden Herausforderung bei der Festigkeitsauslegung. Bei Hochdruckbauteilen sind die Möglichkeiten der Schwingfestigkeitssteigerung, z. B. durch Wanddickenvergrößerung oder durch den Einsatz höherfester Werkstoffe, begrenzt. Eine breite industrielle Anwendung findet derzeit die Autofrettage. Bei diesem Verfahren erzeugt eine einmalige statische Überlast tief in das Bauteil reichende Druckeigenspannungsfelder, die zu einer erheblichen Schwingfestigkeitssteigerung, insbesondere in der Rissfortschrittsphase, führen. Zuverlässige Lebensdauervorhersageverfahren für diese Phase existieren derzeit nicht. Sie werden in der vorliegenden Arbeit entwickelt und anhand experimenteller Ergebnisse verifiziert. Für das Berechnungsverfahren fand ein ingenieurmäßiger Ansatz Verwendung. Darin sollten zwar alle relevanten Effekte abgebildet werden, jedoch Komplexität und Modellierungsaufwand so gering wie möglich gehalten werden. Die gewählten Berechnungsmodule sind nach erfolgter Analyse der Literatur entnommen. Sie umfassen die Berechnung der Autofrettageeigenspannungen, der Spannungsintensität, des Rissöffnungs- und Rissschließverhalten und des Rissfortschrittes. Das Modul Eigenspannungsberechnung für die Autofrettage basiert auf der Superposition von Autofrettagebe- und -entlastung und ermöglicht die notwendige Berücksichtung des Bauschinger-Effektes. Spannungsintensitäten werden mit einer 3D-Gewichtsfunktion für einen ebenen Riss unter Mode I Beanspruchung ermittelt, weil aufgrund der Symmetrie der meisten Hochdruckbauteile das stabile Langrisswachstum ausschließlich unter Mode I Beanspruchung stattfindet. Die Rissöffnungs- und -schließeffekte werden über Näherungsformeln abgebildet. In der Anwendung dieser Näherungsformeln hat sich die Rissöffnungsbeziehung nach Ibrahim et. al. durch den Vergleich mit von rechnerischen mit experimentellen Lebensdaueren als am Besten geeignet erwiesen. Bei dem untersuchten Werkstoff 42CrMo4 spielen die Reihenfolgeeffekte eine untergeordnete Bedeutung und werden deshlab nicht modelliert. Für die Rissfortschrittsbeziehung konnte auf die Formulierung der Paris-Erdogan Beziehung für effektive Schwingweiten zurückgegriffen werden. Die gewählten Berechnungsmodule sind nach erfolgter Analyse der Literatur entnommen, aber in dieser Zusammenstellung ein neuer Ansatz. Da die Einzelmodule nur in geringem Umfang zu verifizieren sind, kann das Berechnungsverfahren nur in seiner Gesamtheit durch den Vergleich von experimentellen zu vorhergesagten Lebensdauern und Dauerfestigkeiten überprüft werden. In verschiedenen Sensitivitätsanalysen konnten für die Berechnungsparameter Rissöffnungsbeziehung, Anfangsrisslänge, Bruchzähigkeit, Rissfortschrittsgleichung und Schwellwert der Spannungsintensität der Einfluss auf die berechnete Rissfortschrittslebensdauer und -dauerfestigkeit aufgezeigt werden. So hat der Schwellwert der Spannungsintensität einen geringen Einfluss auf die Vorhersage der Rissstillstandsdauerfestigkeit autofrettierter Kreuzbohrungen, weil der Rissöffnungsdruck sehr nahe am Maximaldruck ist. Eine andere Sensitivitätsanalyse zeigt beispielsweise, dass sich die längsten Rissfortschrittslebensdauern bei Verwendung der Rissöffnungsbeziehung nach Ibrahim et. al. ergeben, weil diese Beziehung die größten Rissöffnungsdrücke vorhersagt. Für die Verifikation des Berechnungsverfahrens sind Innendruckschwellversuche an insgesamt 14 Versuchsreihen mit Kreuzbohrungen durchgeführt worden. Die allgemeine Anwendbarkeit des Berechnungsverfahrens konnte durch die Anwendung auf Kreuzbohrungen aus den Forschungsvorhaben Autofrettage I-III, auf Railstücke und auf Hochdruckverteilerleisten nachgewiesen werden. Auch hier stützt sich die Verifikation auf umfangreiche experimentelle Ergebnisse. Die statistische Auswertung des Verhältnisses der vorhergesagten zu experimentellen Lebensdauern und Schwingfestigkeiten aller untersuchten Bohrungsverschneidungen zeigt eine gute mittlere Vorhersagegüte bei geringer Streuung. Damit ist die Leistungsfähigkeit der vorgestellten Lebensdauervorhersagemethode nachgewiesen. N2 - From a technical and economical point of view it is necessary to examine the operational life of high strength components. This work will develop scientific bases for it. The technical development of high pressure components in particular for diesel engines leads to ever increasing pressures and thereby becoming a growing challenge in the evaluation of the design strength. The possibilities of increasing fatigue in high components such as an increase in wall thickness or the use of higher materials strengths is limited. The Autofrettage is currently widely used in the industry. This procedure creates a single static overload deep into the component reaching pressure residual stress fields which lead to a significant increase in fatigue, especially in the crack growth. Currently reliable lifetime prediction methods for this phase do not exist. They are presented in this work and developed the basis of verified experimental results. An engineering approach was used for the calculation procedures. However the aim is to show all relevant effects without introducing a complex model. The selected modules are calculated after analysis of the literature. This includes the calculation of Autofrettage stress, the stress intensity, the crack opening and closing behaviour of the crack growth. The residual stress calculation module for Autofrettage is based on the superposition of Autofrettage load as well as discharge and makes it possible to consider the Bauschinger effect. Stress intensities are identified with a 3-D weight function for a plane crack under mode I stress because due to the symmetry of the highest pressure components the stable long crack growth only takes place under stress mode I. The crack opening and closing effects are reproduced with approximation equations. In the application of this approximation, the crack opening relations by Ibrahim et. al. has proven to be best suitable when comparing the arithmetic with the experimental lifes. In the analyzed material 42CrMo4 overload and underload effects play a minor role and are thus not modelled. The phrasing of the Paris-Erdogan relationship for effective stress intensity factor was used for the crack growth relationship. The calculation modules are selected after analyzing the literature; however this configuration in this context it represents a new approach. Since the individual modules can merely be verified on a small scale, the calculation method can only be checked in its entirety by the comparison of experimental to predicted life and fatigue. The influence on the calculated crack growth life and fatigue can be shown in various sensitivity analyses when taken the following calculation parameters into account: crack opening relation, crack start length, fracture toughness, crack growth equation and threshold. Thus, the threshold of the stress intensity has little influence on the prediction cracks fatigue stoppage of auto-fretted cross bores as the crack opening force is very close to the maximum pressure. For example another sensitivity analysis shows that the longest crack growth longevity result when using the crack opening relations by Ibrahim et. al. as this relation predicts the crack opening pressures. In total 14 test series of cross borings were carried out for the verification of the calculation procedure for the threshold of the inner pressure experiments. The general applicability of the calculation process was demonstrated through the application of cross-drilling from the research projects Autofrettage I-III on Rail pieces and high pressure distribution parts. Once again, the verification is based on extensive experimental results. The statistical analysis of the ratio of predicted to experimental lifes and fatigue strength of all investigated crossbores shows a suitable prediction quality for mean value with low dispersion. This demonstrates the performance of the proposed life prediction method. KW - Bruchmechanik KW - Linearelastische Bruchmechanik KW - Autofrettage KW - Hochdruck KW - Fraktographie KW - Ermüdung KW - Ermüdung bei hohen Lastspielzahlen KW - Ermüdung b KW - fatigue KW - linear elastic fracture mechanics KW - autofrettage KW - local approach Y1 - 2009 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20090609-14729 SN - 978-3-86068-389-7 ER - TY - CHAP ED - Hildebrand, Jörg T1 - SYSWELD Forum 2011 N2 - Am 25. und 26. Oktober 2011 trafen sich an der Bauhaus-Universität Weimar 70 nationale und internationale Fachleute aus Forschung und Praxis, um sich im Rahmen des vierten SYSWELD Forums über aktuelle Entwicklungen der numerischen Simulation auf dem Gebiet der Wärmebehandlung und des Schweißens auszutauschen. Die numerische Simulation im Bereich des Schweißens und der Wärmebehandlung hat sich in den letzten Jahren beachtlich weiterentwickelt und bietet ein zukunftsweisendes und innovatives Arbeitsfeld für Ingenieure. KW - Schweißen KW - Computersimulation KW - Wärmebehandlung KW - Gefügeumwandlung KW - Metall KW - Verzug KW - ZTU-Schaubild KW - Eigenspannung KW - Temperaturfeld KW - simulation KW - residual stress KW - temperature KW - transformation KW - welding KW - heat treatment Y1 - 2011 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20111213-15694 ER - TY - THES A1 - Kurukuri, Srihari T1 - Homogenization of Damaged Concrete Mesostructures using Representative Volume Elements - Implementation and Application to SLang N2 - This master thesis explores an important and under-researched topic on the so-called bridging of length scales (from >meso< to >macro<), with the concept of homogenization in which the careful characterization of mechanical response requires that the developed material model >bridge< the representations of events that occur at two different scales. The underlying objective here is to efficiently incorporate material length scales in the classical continuum plasticity/damage theories through the concept of homogenization theory. The present thesis is devoted to computational modeling of heterogeneous materials, primarily to matrix-inclusion type of materials. Considerations are focused predominantly on the elastic and damage behavior as a response to quasistatic mechanical loading. Mainly this thesis focuses to elaborate a sound numerical homogenization model which accounts for the prediction of overall properties with the application of different types of boundary conditions namely: periodic, homogeneous and mixed type of boundary conditions over two-dimensional periodic and non-periodic RVEs and three-dimensional non-periodic RVEs. Identification of the governing mechanisms and assessing their effect on the material behavior leads one step further. Bringing together this knowledge with service requirements allows for functional oriented materials design. First, this thesis gives attention on providing the theoretical basic mechanisms involved in homogenization techniques and a survey will be made on existing analytical methods available in literature. Second, the proposed frameworks are implemented in the well known finite element software programs ANSYS and SLang. Simple and efficient algorithms in FORTRAN are developed for automated microstructure generation using RSA algorithm in order to perform a systematic numerical testing of microstructures of composites. Algorithms are developed to generate constraint equations in periodic boundary conditions and different displacements applied spatially over the boundaries of the RVE in homogeneous boundary conditions. Finally, nonlinear simulations are performed at mesolevel, by considering continuum scalar damage behavior of matrix material with the linear elastic behavior of aggregates with the assumption of rigid bond between constituents. KW - Schadensmechanik KW - Finite-Elemente-Methode KW - Beton KW - Homogenisierung KW - Repräsentative Volumen Elemente KW - Mesoskala KW - Homogenization KW - Representative Volume Elements KW - Mesoscale Y1 - 2005 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20111215-6670 N1 - Der Volltext-Zugang wurde im Zusammenhang mit der Klärung urheberrechtlicher Fragen mit sofortiger Wirkung gesperrt. ER - TY - THES A1 - Sorge, Hans-Christian T1 - Technische Zustandsbewertung metallischer Wasserversorgungsleitungen als Beitrag zur Rehabilitationsplanung T1 - Technical condition assessment of metallic water supply pipes as part of their rehabilitation planning N2 - Die Instandhaltung der städtischen Trinkwassernetze ist Aufgabenschwerpunkt der Wasserversorgungsunternehmen bzw. Netzbetreiber. Dazu notwendige Rehabilitationsplanungen stützen sich zurzeit weitgehend auf die Trendprognose von Schadensraten und die Erfahrungen der Mitarbeiter. Der Einfluss wesentlicher Kenngrößen wie Werkstoffeigenschaften oder die Resttragfähigkeit des Rohres bleiben hierbei größtenteils unberücksichtigt. Über materialtechnische Untersuchungen werden die notwendigen Kenngrößen ermittelt, die eine zuverlässige Bewertung des technischen Zustands des Rohrstrangs ermöglichen. So lassen sich die Prognose der technischen Nutzungsdauer und Rehabilitationsplanungen auf eine solide Basis stellen. In dieser Dissertationsschrift wird hierzu ein Untersuchungs- und Bewertungsalgorithmus mit integrierten Prognoseverfahren erarbeitet. N2 - The maintenance of water supply systems is the main task for water utilities. The requisite planning of rehabilitation/ maintenance is based on forecasting methods of failure frequency of water mains and the experience of the staff. But the influences of important parameters like material characteristics or remaining structural load capacity are mostly unconsidered. Technical tests and the analysis of the properties of the pipe material provide specific parameters. These parameters allow forecasting methods of the operating life and the planning of rehabilitation on a sound basis. Therefore algorithms for examination and assessments with integrated forecast methods were created in this dissertation. KW - Instandhaltungsplanung KW - Nutzungsdauer KW - Rohrleitung KW - Korrosionsprüfung KW - Metallographie KW - Prognosemodell KW - technische Nutzungsdauer KW - Korrosionsgeschwindigkeit KW - Resttragfähigkeit KW - Bodenaggressivität KW - Wasserversorgung KW - Maintenance KW - remaining load capacitiy KW - leakages Y1 - 2006 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20070516-8681 ER - TY - THES A1 - Schrader, Kai T1 - Algorithmische Umsetzung eines elasto-plastischen Kontakt-Materialgesetzes zur Abbildung der Rissflächen-Degradation bei kohäsiven Rissen N2 - Entwicklung eines Algorithmus für ein nichtlineares Materialgesetz für die vollautomatische Rissentwicklungssimulation unter Verwendung der am Institut für Strukturmechanik entwickelten netzfreien Verfahren. In Anlehnung an die Kontinuumsplastizität wird unter Verwendung einer arbeitsbasierten Formulierung mit Kombination der Mode I und Mode IIa Bruchenergien für sensitive Strukturen und eines nicht-assoziierten Fließgesetzes werden die Rissweggrößen (Rissöffnungsweite und Rissgleitungen) iterativ ermittelt. Dadurch ist es möglich, den Dilatanzeffekt sowie die verzahnte Kontaktfläche und die daraus resultierenden erhöhten Schubwiderstände abzubilden. Umsetzung mit Hilfe des sehr effizienten impliziten Closest Point Projection Iterationsverfahren auf Basis einer 3-D Kontaktformulierung (Kontakt-Elemente). 2-D Implementation in die Forschungssoftware SLang des Instituts für Strukturmechanik der Bauhaus-Universität Weimar. Verifikation der Modellcharakteristik mit signifikanten Belastungszuständen. Zwei Anwendungsbeispiele zur Rissfortschrittsberechnung sind unter Verwendung des umgesetzten Materialgesetzes zum Einsatz gekommen. Untersuchungen hinsichtlich der Materialparameter wurden vorgenommen. N2 - In this documentation a general model for combined normal/shear cracking will be presented. Basically it is defined of the normal and shear stresses of a cohesive crack with the corresponding displacements in normal and tangential direction. For the load state there can be considered three cases of loading: pure tension, shear-tension and shear-compression. In the softening state of quasi-brittle materials like concrete there are be mould physical effects like dilatancy by shearing deformations, nevertheless no dilatancy under very high compression can be performed. By this way it is additionally possible to simulate extended roughness at the contact surface besides the coulomb criteria as it exists in real cracking deformations of structures characterized by sensitive material behavior. To enable this goal in context of smeared crack analysis a special feature in combined activating Mode I and Mode II fracture energies (mixed mode cracking) is used. \\ After presenting this model a direct way for implementation as a constitutive law based for interface elements will be realized. Integrating this to the stochastic FE software SLang - The Structural Language some tests for verificating the interface model (by comparing the numerical results with existing experimental data) will be performed as well as discussing the cracking model with regard to practical aspects. KW - Dilatanz KW - Bruchzone KW - Rissbildung KW - plastische Formänderungsarbeit KW - nicht-assoziierte Fließfläche KW - Kontaktformulierung KW - Rissfortschrittsberechnung KW - dilatancy KW - mixed mode cracking KW - mode I KW - mode IIa KW - closest point projection Y1 - 2005 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20111215-6195 ER - TY - THES A1 - Luther, Torsten T1 - Adaptation of atomistic and continuum methods for multiscale simulation of quasi-brittle intergranular damage N2 - The numerical simulation of damage using phenomenological models on the macroscale was state of the art for many decades. However, such models are not able to capture the complex nature of damage, which simultaneously proceeds on multiple length scales. Furthermore, these phenomenological models usually contain damage parameters, which are physically not interpretable. Consequently, a reasonable experimental determination of these parameters is often impossible. In the last twenty years, the ongoing advance in computational capacities provided new opportunities for more and more detailed studies of the microstructural damage behavior. Today, multiphase models with several million degrees of freedom enable for the numerical simulation of micro-damage phenomena in naturally heterogeneous materials. Therewith, the application of multiscale concepts for the numerical investigation of the complex nature of damage can be realized. The presented thesis contributes to a hierarchical multiscale strategy for the simulation of brittle intergranular damage in polycrystalline materials, for example aluminum. The numerical investigation of physical damage phenomena on an atomistic microscale and the integration of these physically based information into damage models on the continuum meso- and macroscale is intended. Therefore, numerical methods for the damage analysis on the micro- and mesoscale including the scale transfer are presented and the transition to the macroscale is discussed. The investigation of brittle intergranular damage on the microscale is realized by the application of the nonlocal Quasicontinuum method, which fully describes the material behavior by atomistic potential functions, but reduces the number of atomic degrees of freedom by introducing kinematic couplings. Since this promising method is applied only by a limited group of researchers for special problems, necessary improvements have been realized in an own parallelized implementation of the 3D nonlocal Quasicontinuum method. The aim of this implementation was to develop and combine robust and efficient algorithms for a general use of the Quasicontinuum method, and therewith to allow for the atomistic damage analysis in arbitrary grain boundary configurations. The implementation is applied in analyses of brittle intergranular damage in ideal and nonideal grain boundary models of FCC aluminum, considering arbitrary misorientations. From the microscale simulations traction separation laws are derived, which describe grain boundary decohesion on the mesoscale. Traction separation laws are part of cohesive zone models to simulate the brittle interface decohesion in heterogeneous polycrystal structures. 2D and 3D mesoscale models are presented, which are able to reproduce crack initiation and propagation along cohesive interfaces in polycrystals. An improved Voronoi algorithm is developed in 2D to generate polycrystal material structures based on arbitrary distribution functions of grain size. The new model is more flexible in representing realistic grain size distributions. Further improvements of the 2D model are realized by the implementation and application of an orthotropic material model with Hill plasticity criterion to grains. The 2D and 3D polycrystal models are applied to analyze crack initiation and propagation in statically loaded samples of aluminum on the mesoscale without the necessity of initial damage definition. N2 - Strukturmechanische Ermüdungs- und Lebensdaueranalysen basieren meist auf der Anwendung phänomenologischer Modelle der Schädigungs- und Bruchmechanik zur numerischen Simulationen des makroskopischen Schädigungsverhaltens. Ausgehend von einer definierten Anfangsschädigung sind diese Modelle nicht in der Lage, die tatsächlichen Vorgänge der Rissinitiierung und unterschiedlichen Rissausbreitung zu erfassen. Eine physikalische Interpretation der phänomenologisch eingeführten Schädigungsparameter ist oftmals nicht möglich und deren experimentelle Bestimmung schwierig. Die Berücksichtigung des mikrostrukturellen Aufbaus von Materialien in numerischen Modellen der Schädigungs- und Bruchmechanik bietet neue Möglichkeiten, die für die Rissinitiierung und Rissausbreitung ursächlichen physikalischen Phänomene abzubilden. Zunehmende Erkenntnisse über gleichzeitig auftretende Mikro- und Makroschädigungsvorgänge resultieren in verbesserten numerischen Modellen, mit denen aufwändige und kostenintensive Experimente in der Materialentwicklung zum Teil ersetzt werden können. In Kenntnis einer Vielfalt von unterschiedlichen Schädigungsphänomenen in technischen Materialien fokussiert die vorliegende Dissertation auf die Entwicklung und Verbesserung numerischer Methoden der Atomistik und der Kontinuumsmechanik zur Mehrskalenuntersuchung quasi-spröder Korngrenzenschädigung in polykristallinen Werkstoffen, z.B. Aluminium. Die kombinierte Anwendung dieser Methoden ist Teil eines hierarchischen Mehrskalenansatzes zur Integration des physikalisch beschriebenen Materialverhaltens der Atomistik in ein ingenieurmäßiges Kontinuumsschädigungsmodell. Ziel der Dissertation ist die Entwicklung einer Methodik, die es erlaubt, den Verlust atomarer Bindungen als physikalische Ursache spröder Schädigung zu simulieren und Ergebnisse aus diesen atomistischen Mikroskalen-Simulationen zur Parametrisierung von kohäsiven Materialmodellen der Kontinuumsmechanik zu nutzen. Diese beschreiben den intergranularen Sprödbruch in heterogenen Polykristallmodellen der Mesoskala. Der Einfluss der Heterogenität wird in nichtlinearen Finite-Elemente-Simulationen durch explizite Abbildung der Kornstruktur im mesoskopischen Polykristallmodell berücksichtigt. Durch den Einsatz des kohäsiven Interface-Gesetzes erlaubt das auf der Mesoskala angewandte Kontinuumsmodell die Simulation spröder Korngrenzenschädigung in statisch belasteten 2D und 3D Modellen ohne die Notwendigkeit der Definition einer Anfangsschädigung, wie dies in klassischen Modellen der linear-elastischen Bruchmechanik notwendig ist. Zur effizienten Realisierung der atomistischen Mikroskalen-Simulationen wird eine Implementation der nichtlokalen 3D Quasikontinuumsmethode angewandt. Diese Methode basiert auf einem atomistischen Ansatz und beschreibt das Materialverhalten auf Grundlage atomarer Bindungskräfte. In Modellgebieten mit gleichmäßigem Verformungsfeld werden kinematische Kopplungen atomarer Freiheitsgrade eingeführt, sodass sich die Zahl unabhängiger Freiheitsgrade stark reduziert. Deren effizienter Einsatz erlaubt Simulationen an größeren Modellen ohne Kopplung mit kontinuumsmechanischen Methoden. Eine verbesserte Vernetzung, ein robuster Optimierungsalgorithmus und die vorgenommene Parallelisierung machen die implementierte nichtlokale 3D Quasikontinuumsmethode zu einem effizienten Werkzeug für die robuste Simulation von physikalischen Schädigungsphänomenen in beliebigen atomistischen Konfigurationen. In quasistatischen Simulationen wird eine deutliche Beschleunigung gegenüber der Methode der Gitterstatik bei vergleichbarer Qualität der Ergebnisse erreicht. T2 - Weiterentwicklung numerischer Methoden der Atomistik und Kontinuumsmechanik zur Multiskalen-Simulation quasi-spröder intergranularer Schädigung T3 - ISM-Bericht // Institut für Strukturmechanik, Bauhaus-Universität Weimar - 2010,2 KW - Mechanik KW - Computersimulation KW - Mikro-Scale KW - Meso-Scale KW - Polykristall KW - intergranular damage KW - atomistic simulation methods KW - continuum mechanics KW - quasicontinuum method KW - scale transition Y1 - 2010 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20101101-15245 ER - TY - THES A1 - Budarapu, Pattabhi Ramaiah T1 - Adaptive multiscale methods for fracture T1 - Adaptive Multiskalen-Methoden zur Modellierung von Materialversagen N2 - One major research focus in the Material Science and Engineering Community in the past decade has been to obtain a more fundamental understanding on the phenomenon 'material failure'. Such an understanding is critical for engineers and scientists developing new materials with higher strength and toughness, developing robust designs against failure, or for those concerned with an accurate estimate of a component's design life. Defects like cracks and dislocations evolve at nano scales and influence the macroscopic properties such as strength, toughness and ductility of a material. In engineering applications, the global response of the system is often governed by the behaviour at the smaller length scales. Hence, the sub-scale behaviour must be computed accurately for good predictions of the full scale behaviour. Molecular Dynamics (MD) simulations promise to reveal the fundamental mechanics of material failure by modeling the atom to atom interactions. Since the atomistic dimensions are of the order of Angstroms ( A), approximately 85 billion atoms are required to model a 1 micro- m^3 volume of Copper. Therefore, pure atomistic models are prohibitively expensive with everyday engineering computations involving macroscopic cracks and shear bands, which are much larger than the atomistic length and time scales. To reduce the computational effort, multiscale methods are required, which are able to couple a continuum description of the structure with an atomistic description. In such paradigms, cracks and dislocations are explicitly modeled at the atomistic scale, whilst a self-consistent continuum model elsewhere. Many multiscale methods for fracture are developed for "fictitious" materials based on "simple" potentials such as the Lennard-Jones potential. Moreover, multiscale methods for evolving cracks are rare. Efficient methods to coarse grain the fine scale defects are missing. However, the existing multiscale methods for fracture do not adaptively adjust the fine scale domain as the crack propagates. Most methods, therefore only "enlarge" the fine scale domain and therefore drastically increase computational cost. Adaptive adjustment requires the fine scale domain to be refined and coarsened. One of the major difficulties in multiscale methods for fracture is to up-scale fracture related material information from the fine scale to the coarse scale, in particular for complex crack problems. Most of the existing approaches therefore were applied to examples with comparatively few macroscopic cracks. Key contributions The bridging scale method is enhanced using the phantom node method so that cracks can be modeled at the coarse scale. To ensure self-consistency in the bulk, a virtual atom cluster is devised providing the response of the intact material at the coarse scale. A molecular statics model is employed in the fine scale where crack propagation is modeled by naturally breaking the bonds. The fine scale and coarse scale models are coupled by enforcing the displacement boundary conditions on the ghost atoms. An energy criterion is used to detect the crack tip location. Adaptive refinement and coarsening schemes are developed and implemented during the crack propagation. The results were observed to be in excellent agreement with the pure atomistic simulations. The developed multiscale method is one of the first adaptive multiscale method for fracture. A robust and simple three dimensional coarse graining technique to convert a given atomistic region into an equivalent coarse region, in the context of multiscale fracture has been developed. The developed method is the first of its kind. The developed coarse graining technique can be applied to identify and upscale the defects like: cracks, dislocations and shear bands. The current method has been applied to estimate the equivalent coarse scale models of several complex fracture patterns arrived from the pure atomistic simulations. The upscaled fracture pattern agree well with the actual fracture pattern. The error in the potential energy of the pure atomistic and the coarse grained model was observed to be acceptable. A first novel meshless adaptive multiscale method for fracture has been developed. The phantom node method is replaced by a meshless differential reproducing kernel particle method. The differential reproducing kernel particle method is comparatively more expensive but allows for a more "natural" coupling between the two scales due to the meshless interpolation functions. The higher order continuity is also beneficial. The centro symmetry parameter is used to detect the crack tip location. The developed multiscale method is employed to study the complex crack propagation. Results based on the meshless adaptive multiscale method were observed to be in excellent agreement with the pure atomistic simulations. The developed multiscale methods are applied to study the fracture in practical materials like Graphene and Graphene on Silicon surface. The bond stretching and the bond reorientation were observed to be the net mechanisms of the crack growth in Graphene. The influence of time step on the crack propagation was studied using two different time steps. Pure atomistic simulations of fracture in Graphene on Silicon surface are presented. Details of the three dimensional multiscale method to study the fracture in Graphene on Silicon surface are discussed. T3 - ISM-Bericht // Institut für Strukturmechanik, Bauhaus-Universität Weimar - 2015,1 KW - Material KW - Strukturmechanik KW - Materialversagen KW - material failure Y1 - 2015 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20150507-23918 ER - TY - THES A1 - Hamdia, Khader T1 - On the fracture toughness of polymeric nanocomposites: Comprehensive stochastic and numerical studies N2 - Polymeric nanocomposites (PNCs) are considered for numerous nanotechnology such as: nano-biotechnology, nano-systems, nanoelectronics, and nano-structured materials. Commonly , they are formed by polymer (epoxy) matrix reinforced with a nanosized filler. The addition of rigid nanofillers to the epoxy matrix has offered great improvements in the fracture toughness without sacrificing other important thermo-mechanical properties. The physics of the fracture in PNCs is rather complicated and is influenced by different parameters. The presence of uncertainty in the predicted output is expected as a result of stochastic variance in the factors affecting the fracture mechanism. Consequently, evaluating the improved fracture toughness in PNCs is a challenging problem. Artificial neural network (ANN) and adaptive neuro-fuzzy inference system (ANFIS) have been employed to predict the fracture energy of polymer/particle nanocomposites. The ANN and ANFIS models were constructed, trained, and tested based on a collection of 115 experimental datasets gathered from the literature. The performance evaluation indices of the developed ANN and ANFIS showed relatively small error, with high coefficients of determination (R2), and low root mean square error and mean absolute percentage error. In the framework for uncertainty quantification of PNCs, a sensitivity analysis (SA) has been conducted to examine the influence of uncertain input parameters on the fracture toughness of polymer/clay nanocomposites (PNCs). The phase-field approach is employed to predict the macroscopic properties of the composite considering six uncertain input parameters. The efficiency, robustness, and repeatability are compared and evaluated comprehensively for five different SA methods. The Bayesian method is applied to develop a methodology in order to evaluate the performance of different analytical models used in predicting the fracture toughness of polymeric particles nanocomposites. The developed method have considered the model and parameters uncertainties based on different reference data (experimental measurements) gained from the literature. Three analytical models differing in theory and assumptions were examined. The coefficients of variation of the model predictions to the measurements are calculated using the approximated optimal parameter sets. Then, the model selection probability is obtained with respect to the different reference data. Stochastic finite element modeling is implemented to predict the fracture toughness of polymer/particle nanocomposites. For this purpose, 2D finite element model containing an epoxy matrix and rigid nanoparticles surrounded by an interphase zone is generated. The crack propagation is simulated by the cohesive segments method and phantom nodes. Considering the uncertainties in the input parameters, a polynomial chaos expansion (PCE) surrogate model is construed followed by a sensitivity analysis. T3 - ISM-Bericht // Institut für Strukturmechanik, Bauhaus-Universität Weimar - 2018,4 KW - Bruch KW - Unsicherheit KW - Rissausbreitung KW - Bayes KW - Sensitivitätsanalyse KW - Fracture mechanics KW - Uncertainty analysis KW - Polymer nanocomposites KW - Bayesian method KW - Phase-field modeling Y1 - 2018 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20180712-37652 ER - TY - THES A1 - Korkmaz, Sinan T1 - Extension of the Uniform Material Law for High Strength Steels N2 - Uniform Material Law (UML) is a handy and user-friendly method since only the tensile strength data of the material is needed for estimation of the strain-life curve, in contrast to other methods, such as four-point correlation method, universal slopes method, Mitchell's method, modified universal slopes method, which also require the data of the reduction in area or the fracture ductility of the material. On the other hand, the error level of UML estimations can be still decreased by refining the method. The objective of this thesis is putting forward a more refined method by extending conventional UML. Furthermore, a life prediction computation is carried out with the proposed extended UML and the results are compared to that of the conventional method. The results have proven that the maximum error is dropped down to 0.59% from 38% with the proposed extended UML method. KW - Materialermüdung KW - UML KW - Werkstoffermüdung KW - hochfester Stahl KW - Lebensdauervorhersage KW - material fatigue KW - uniform material law KW - UML KW - high strength steel KW - fatigue life prediction Y1 - 2008 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20090602-14718 ER -