Shakedown analysis and bounding methods in elastic-plastic dynamics are dealt with here on the following basis: the model adopted for the constitutive (element) behavior is centered on a linear dependence of yield functions on (generalized) stresses and nonlinear dependence (hardening) of yield limits on sign-constraint internal variables which play here a central role in all developments; simple discrete structural models (basically trusses) are referred to; constrained optimization in finite dimensional spaces (nonlinear programming) is the mathematical and computational context employed. The contributions presented are as follows: a number of earlier results based on piecewiselinear plastic models are extended to nonlinear hardening; restrictions on the hardening rule are established for various conclusions to be valid; a systematic and unified theoretical framework is developed, so that shakedown theorems and various bounds are shown to be closely related. The theoretical results expounded are illustrated by simple numerical examples.

Dynamic shakedown and bounding theory for a class of nonlinear hardening discrete structural models

MAIER, GIULIO;NOVATI, GIORGIO
1990

Abstract

Shakedown analysis and bounding methods in elastic-plastic dynamics are dealt with here on the following basis: the model adopted for the constitutive (element) behavior is centered on a linear dependence of yield functions on (generalized) stresses and nonlinear dependence (hardening) of yield limits on sign-constraint internal variables which play here a central role in all developments; simple discrete structural models (basically trusses) are referred to; constrained optimization in finite dimensional spaces (nonlinear programming) is the mathematical and computational context employed. The contributions presented are as follows: a number of earlier results based on piecewiselinear plastic models are extended to nonlinear hardening; restrictions on the hardening rule are established for various conclusions to be valid; a systematic and unified theoretical framework is developed, so that shakedown theorems and various bounds are shown to be closely related. The theoretical results expounded are illustrated by simple numerical examples.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/661627
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