Titlebook: Inelastic Behaviour of Structures under Variable Loads; Zenon Mróz,Dieter Weichert,Stanislaw Dorosz Book 1995 Springer Science+Business Me

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Related Mathematical Models for Solids and Structures Deformation and Failure Processes Under Repeatcan be reduced to a branching hierarchy of related rheological models; its first level (perfect plasticity, perfect viscosity) is followed by a set of models based on the concept of micro-inhomogeneity of real materials. The latter approach leads to more adequate description of plasticity and creep

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Nonlinear Behavior of Low-Plastic Structuresensive thermal loading that leads to considerable thermal stresses and hence to low-cycle fatigue at repeated loading Experience reveals that accuracy of the known mathematical models is insufficient for lifetime predictions of structural fracture under such conditions. A version of a structural mod

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Elastic-Viscoplastic Solids Subjected to Thermal and Loading Cyclesconsidered. For solids (or structures) of such materials, subjected to cyclic loads and temperature variations, the existence of a steady-state response is ascertained and its periodicity characteristics established. Particular steady-state responses, like, elastic and inelastic shakedown, are addre

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On Theorems of Adaptation of Elastic-Plastic Structures elastic-plastic structures. The underlying theory of elastic-plastic behaviour of materials in which, among others, no yield rule and intermediate configuration are assumed to exist, where the transition from micro- to macroscales is natural, and where the constitutive relations do not need the so-

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Extremum Problems in Shakedown Theory kinematic method making use of time-independent velocity fields. An explicit formula for the upper bound is derived for the shakedown problem with a polyhedron set of variable loads. Conditions are established under which the infimum of upper bounds over a set of regular velocity fields equals the

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Limit, Shakedown, Post-Yield, and Inadaptation Analyses of Discrete Plastic Structuresnd shakedown problems are presented as linear programs, whereas the post-yield and inadaptation problems are sequences of linear programs. The formulation is based on the kinematic approach. Nonlinear geometric effects and nonlinear material hardening-softening are accounted for.