Efficient and modular algorithms in modeling finite inelastic deformations: Objective integration, parameter identification and sub-stepping techniques

This paper presents a general algorithmic formulation for constitutive equations describing inelastic material deformation. The algorithmic representation focuses on the generality and modularity which is a key aspect within the development phase of constitutive equations. It is shown explicitly how...

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Vydáno v:Computer methods in applied mechanics and engineering Ročník 196; číslo 17; s. 2269 - 2283
Hlavní autoři: Seifert, T., Schenk, T., Schmidt, I.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Amsterdam Elsevier B.V 01.03.2007
Elsevier
Témata:
Computational techniques
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Material modeling
Mathematical methods in physics
Measurement and testing methods
Modular algorithms
Physics
Solid mechanics
Structural and continuum mechanics
Sub-stepping
Material modeling
Modular algorithms
Sub-stepping
Constitutive equation
High strain
Numerical integration
Algorithmics
Rotation speed
Modeling
Wire drawing
Finite element method
Inelasticity
System identification
Strain rate
ISSN:0045-7825, 1879-2138
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Shrnutí:This paper presents a general algorithmic formulation for constitutive equations describing inelastic material deformation. The algorithmic representation focuses on the generality and modularity which is a key aspect within the development phase of constitutive equations. It is shown explicitly how to solve the incremental constitutive equations by use of objective algorithms and an implicit integration scheme applying numerical as well as analytical derivatives. Although it is shown that using numerical gradients is significantly slower, their application is easier especially in the development phase. It is also demonstrated that having the constitutive equations modeled in the general context introduced, the issue of parameter identification can be tackled by the same implementation using a driver algorithm. Besides parameter identification, the general structure is also applied to two different FE simulations: First, the objectivity of different integration methods will be presented considering a simple shear loading superposed by a rigid rotation using a strain-rate independent material model as example. In the second example it is shown for a strain-rate-dependent material model how the simulation of the wire drawing process can be accelerated crucially by using sub-stepping techniques.
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ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2006.12.002