TY - CHAP A1 - Rutman, Y. L. T1 - Pseudorigidity method (PRM) for solving the problem of limit equilibrium of rigid-plastic constructions N2 - One of the basic types of strength calculations is the calculation of limit equilibrium of constructions. This report describes new method for solving the problem of limit equilibrium. The rigid-plastic system in this method is substituted with an «equivalent» elastic system with specially constructed rigidities. This is why it is called the method of pseudorigidities. An iteration algorithm was developed for finding pseudorigidities. This algorithm is realized in a special software procedure. Conjunction of this procedure with any elastic calculation program (base program) creates a program solving rigid-plastic problems. It is proved, that iterations will be converge to the solution for the problem of limit equilibrium. The solution of tests show, that pseudorigidity method is universal. It allows the following: - to solve problems of limit equilibrium for various models (arch, beam, frame, plate, beam-wall, shell, solid); - to take into account both linearized and square-law fluidity conditions; - to solve problems for various kinds of loads (concentrated, distributed, given by a generalized vector); - to take into account the existing various of fluidity criteria in different sections etc. The iterative PRM process quickly converges. The accuracy of PRM is very high even in case of rough finite-element structuring. The author has used this method for design protection systems from extreme loads due to equipment of nuclear power stations, pipelines, cargo in any transportation. KW - Grenzzustand KW - Gleichgewicht KW - Plastizitätstheorie Y1 - 2000 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20111215-6094 ER - TY - JOUR A1 - Routmann, Y. L. T1 - Pseudorigidity method for solving the problem of limit equilibrium of rigid-plastic constructions N2 - 1.Design calculations , based upon the theory elasticity , cannot completely satisfy engineers and designers , because cannot answer to basic question about overload capability . Only design calculations of limit equilibrium of rigid-plastic constructions can answer to this question completely enough. As a rule , such design calculations are made issue from hypothesis, that material of construction has rigid-plastic diagram Prandtl .This scheme of calculation gives qualitatively more correct results, then usual calculation, based upon law Hooke’s , and allows more really estimate ultimate strength of construction due to different loads. Universal algorithms for solving the problem of limit equilibrium have been created since the middle of the 60’s.These algorithms are based upon two basic theorems about limit analysis - static and kinetics. It was found , that with the help of above-mentioned theorems the problem of limit equilibrium can be formulated as a problem of linear programming (for linear yield) or nonlinear programming (for yield Guber-Mizes). The method of linear programming conformably to calculation of rod systems got the most development in the reports Prager W. [1] and Chiras A. [ 2 ]. The method of linear programming conformably to plates and shells was widely used by Rganizin A.[3]. [3[ contains more full bibliography about this problem. Calculation of limit equilibrium with the help of linear and nonlinear programming has a few significant lacks: - complexity and laboriousness preliminary preparation of problem for PC; - necessity to use special program means , which are not in usual program packet for strength analysis. Author worked out a new method about design calculation of limit equilibrium without above-mentioned lacks . The method is based upon analogy of relations between internal generalized efforts and generalized deformations in elastic system and between generalized efforts and velocities of change generalized deformations in rigid-plastic system. Because later rigid-plastic deformation would be treated as an elastic deformation in the system with special constructed rigidities , this method could be called >pseudorigidity method<. KW - Plastizitätstheorie KW - Gleichgewicht KW - Grenzzustand Y1 - 1997 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20111215-5447 ER - TY - THES A1 - Grosse, Marco T1 - Zur numerischen Simulation des physikalisch nichtlinearen Kurzzeittragverhaltens von Nadelholz am Beispiel von Holz-Beton-Verbundkonstruktionen T1 - On the numerical simulation of the nonlinear short-time carrying behaviour of softwood with application to timber-concrete composite structures N2 - In der Arbeit wird ein räumliches Materialmodell für den anisotropen Werkstoff Holz vorgestellt. Dessen Leistungsfähigkeit wird durch Verifikationsrechnungen und die Simulation eigener Versuche aufgezeigt. In diesen Versuchen wurde das Tragverhalten spezieller Schubverbindungselemente der Brettstapel-Beton-Verbundbauweise untersucht. Die Kombination eines Brettstapels mit einer schubfest angeschlossenen Betonplatte ist eine vorteilhafte Möglichkeit, Schnittholz mit geringem Querschnitt effektiv in biegebeanspruchten Bauteilen einzusetzen. Es werden die Ergebnisse der experimentellen Untersuchungen zu den Schubverbindungselementen Flachstahlschloss und Nutverbindung vorgestellt. Diese zeichnen sich durch eine über die gesamte Plattenbreite kontinuierliche Übertragung der Schubkraft per Kontaktpressung aus. Vor allem in Brettstapel-Beton-Verbunddecken werden somit ein sehr hoher Verschiebungsmodul sowie eine eminente Tragfähigkeit erreicht. Um mit numerischen Strukturanalysen die in den Versuchen beobachteten Versagensmechanismen adäquat abbilden und realistische Prognosen für das Tragverhalten von Bauteilen oder Verbindungen treffen zu können, muss das physikalisch nichtlineare Verhalten aller beteiligter Baustoffe in die Berechnungen einbezogen werden. Im Rahmen der Dissertation wurde ein auf der Plastizitätstheorie basierendes Materialmodell für Nadelholz hergeleitet und in das FE-Programm ANSYS implementiert, welches die Mikrostruktur des Holzes als verschmierendes Ersatzkontinuum erfasst. Anhand des anatomischen Aufbaus des inhomogenen, anisotropen und porigen Werkstoffs werden die holzspezifischen Versagensmechanismen und die daraus abgeleiteten konstitutiven Beziehungen erläutert. Das ausgeprägt anisotrope Tragverhalten von Holz ist vor allem durch erstaunliche Duktilität bei Stauchung, sprödes Versagen bei Zug- und Schubbeanspruchung und enorme Festigkeitsunterschiede in den Wuchsrichtungen gekennzeichnet. Die Auswirkungen der größtenteils unabhängig voneinander auftretenden, mikromechanischen Versagensmechanismen auf die Spannungs-Verformungsbeziehungen wurden durch die Formulierung adäquater Ver- resp. Entfestigungsfunktionen in Abhängigkeit der Beanspruchungsmodi erfasst. Das dem Materialmodell zu Grunde liegende mehrflächige Fließkriterium berücksichtigt die Interaktion aller sechs Komponenten des räumlichen Spannungszustandes. Die durchgeführten Verifikations- und Simulationsberechnungen belegen, dass der erarbeitete Ansatz sowohl zur Bewertung des Tragvermögens als auch zur Beurteilung von Riss- bzw. Schädigungsursachen von Holzbauteilen eingesetzt werden kann. Die numerische Simulation eröffnet neue, bisher wenig beachtete Möglichkeiten zur Untersuchung komplexer Holzstrukturen sowie Anschlussdetails und wird sich auf Grund der Aussagekraft und Flexibilität auch im Ingenieurholzbau mehr und mehr gegenüber ausschließlich experimenteller Untersuchung durchsetzen. N2 - In the dissertation a spatial model for the anisotropic, porous material wood is presented. The efficiency of this numerical approach is pointed out by verifying computations and simulations of own experiments. In these tests the load carrying behaviour of special joining techniques for laminated timber concrete composite constructions have been examined. The combination of a laminated timber element with a shear resistant joined concrete slab is a profitable alternative for effectively using lumber with small cross section in bending stressed members. The results of the experimental investigations of flat-steel-lock and notch connection are presented. These are characterised by a load transmission via contact pressure continuously over the entire slab width. Particularly in laminated timber concrete composite ceilings a very stiff load-deflection relationship as well as an eminent load-carrying capacity is reached. To simulate the structural behaviour of members and to model there failure mechanisms it is necessary to take the mechanically nonlinear behaviour in the critical and post critical range of all involved materials into account. For this reason a constitutive material model for timber based on the plasticity theory was implemented in the finite element code ANSYS. The basic multisurface yield criterion considers the interaction of all six components of the spatial stress state. The proposal is furthermore based on the classic continuum mechanics. Therefore, a crack is not described discretely, but by its effect on the stress deformation behaviour. The numerical model reproduces the wood-specific anisotropic, load dependent strengths as well as predominantly independent proceeding of strain hardening and, respectively, softening. The conducted verifications and simulations prove, that the designed approach can be applied to the evaluation of the load-carrying behaviour as well as crack and damage causes of timber components. The numerical simulation opens new potentialities for investigation of complex wooden structures as well as connection details. Compared with expensive experimental studies this procedure will gain more significance due to its expressiveness and flexibility even in timber engineering. T3 - Schriftenreihe des Instituts für Konstruktiven Ingenieurbau - 7 KW - Holzbau KW - Verbundbauweise KW - Beton KW - Nichtlineare Finite-Elemente-Methode KW - Plastizitätstheorie KW - Numerische Mathematik KW - Simulation KW - Nichtlineare Kon KW - Holz-Beton-Verbund KW - HBV KW - Versagensmechanismen KW - Brettstapel KW - timber concrete composite KW - laminated timber Y1 - 2005 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20060215-7725 ER -