Implicit numerical integration and consistent linearization of inelastic constitutive models of rock salt

2017 ◽  
Vol 182 ◽  
pp. 87-103 ◽  
Author(s):  
Thomas Nagel ◽  
Wolfgang Minkley ◽  
Norbert Böttcher ◽  
Dmitri Naumov ◽  
Uwe-Jens Görke ◽  
...  
Keyword(s):  
Numerical Integration ◽  
Rock Salt ◽  
Constitutive Models ◽  
Consistent Linearization

Numerical Integration of Some Stiff Constitutive Models of Inelastic Deformation

1980 ◽  
Vol 102 (1) ◽  
pp. 92-96 ◽  
Author(s):  
Virendra Kumar ◽  
Mahesh Morjaria ◽  
Subrata Mukherjee
Keyword(s):  
Numerical Integration ◽  
Inelastic Deformation ◽  
Time Integration ◽  
Constitutive Models ◽  
Integration Scheme ◽  
Uniaxial Deformation ◽  
Time Step ◽  
One Step ◽  
Numerical Time Integration ◽  
Step Control

Several strategies for numerical time-integration of some stiff constitutive models of inelastic deformation are presented in this paper. Numerical results and comparisons are presented for the integration of one such model for the case of uniaxial deformation under various prescribed histories of stress or strain. A simple one step Euler type integration scheme with automatic time-step control, which can be easily adapted to the solution of multiaxial boundary value problems, appears promising.

Numerical Algorithms for J2 Viscoplastic Models

2012 ◽  
Vol 567 ◽  
pp. 267-274 ◽  
Author(s):  
Fabio de Angelis
Keyword(s):  
Numerical Integration ◽  
Constitutive Models ◽  
Numerical Algorithms ◽  
Computational Results ◽  
Flow Function ◽  
Numerical Schemes ◽  
Tangent Operator ◽  
Viscoplastic Models ◽  
Consistent Tangent Operator ◽  
Algorithmic Procedure

An algorithmic scheme is illustrated for the numerical integration of evolutive problems in viscoplasticity. The analysis is restricted for brevity to J2 models in viscoplasticity by presenting a unified treatment of different elasto/viscoplastic constitutive models. An appropriate consistent tangent operator is applied which is suitable to be adopted for general numerical schemes. The treatment can be applied to different constitutive models by simply specializing the flow function. Computational results and examples are also illustrated in order to show the effectiveness of the presented algorithmic procedure.

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