Abstract
The effects of different loading programs on the elasto-/viscoplastic behavior of rate-sensitive materials are analyzed with specific numerical examples. An appropriate solution scheme and a consistent tangent operator are applied which are capable of being adopted for general computational procedures. Numerical computations and results are reported which illustrate the rate-dependence of the elasto-/viscoplastic constitutive model in use. In the numerical analysis the loading is applied by increasing the pressure and accordingly a nondimensional loading program parameter is introduced. In the numerical results the significance of the loading program is thus emphasized with reference to the nonlinear response of the elasto-/viscoplastic material behavior of solids.
Highlights
In the numerical analysis the loading is applied by increasing the pressure and a nondimensional loading program parameter is introduced
The variational formulation of boundary value problems governed by linear and nonlinear operators is a problem which is of interest in many fields of theoretical mechanics
The present numerical algorithmic scheme has been implemented into the finite element analysis program (FEAP); see Zienkiewicz et al [35] and Taylor [36]
Summary
The variational formulation of boundary value problems governed by linear and nonlinear operators is a problem which is of interest in many fields of theoretical mechanics. The numerical resolution of the evolutive problem for the adopted constitutive model is performed by following a procedure initially suggested by Simo [27] and by extending it with the use of a tangent operator which encompasses the case of yield functions of arbitrary type. Another characteristical feature of the presented procedure is that it applies to different elasto-/viscoplastic constitutive models by suitably specializing the flow function of the adopted constitutive model. Numerical applications and computational results are reported for a typical benchmark problem in order to illustrate the effectiveness and robustness of the adopted integration procedure
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