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 - Ansari, Meisam T1 - Simulation methods for functional and microstructured composite materials T1 - Simulationsmethoden für funktionalisierte und mikrostrukturierte Verbundwerkstoffe N2 - In this thesis, a generic model for the post-failure behavior of concrete in tension is proposed. A mesoscale model of concrete representing the heterogeneous nature of concrete is formulated. The mesoscale model is composed of three phases: aggregate, mortar matrix, and the Interfacial Transition Zone between them. Both local and non-local formulations of the damage are implemented and the results are compared. Three homogenization schemes from the literature are employed to obtain the homogenized constitutive relationship for the macroscale model. Three groups of numerical examples are provided. N2 - In dieser Arbeit wird ein generisches Modell für das nichtlineare Materialverhalten des Betons unter Spannung vorgeschlagen. Ein Mesoskalenmodell wird aufgebildet, welches die heterogene Materialstruktur des Betons darstellt. Das Mesoskalenmodell besteht aus drei Phasen: groben Zuschlägen, Mörtelmatrix und Übergangszone zwischen Zuschlag und Matrix. Es werden sowohl die lokale als auch die nichtlokale Formulierung des Schädigungsgrades implementiert und die Ergebnisse verglichen. Drei Homogenisierungsmethoden aus der Literatur werden verwendet, um die homogenisierte konstitutive Beziehung für das Makroskalenmodell zu erhalten. Drei Gruppen von numerischen Beispielen werden angeführt. KW - Simulation KW - Verbundwerkstoff KW - Beton KW - Meso-Scale KW - Composite KW - Concrete Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20201103-42783 ER -