Numerical simulation of equilibrium shocks in maximally dissipative elastic systems. I: The one-dimensional case

DOI10.1007/BF00115542zbMath0818.73013OpenAlexW2047691307MaRDI QIDQ1805080

Publication date: 15 August 1995

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00115542

zbMATH Keywords

finite element unconditional stability return mapping algorithm weak discontinuities nonmonotonous stress-strain laws quasi-static evolution problems

Mathematics Subject Classification ID

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Uses Software

RODAS

Cites Work

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An admissibility condition for equilibrium shocks in finite elasticity
Consequences of the Maxwell relation for anti-plane shear deformations of an elastic solid
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Acceleration waves in solids
Co-existent phases in the one-dimensional static theory of elastic bars
Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
The elastic energy-momentum tensor
Equilibrium of bars
On the dissipation associated with equilibrium shocks in finite elasticity
A priori stability estimates and unconditionally stable product formula algorithms for nonlinear coupled thermoplasticity
Kinetic relations and the propagation of phase boundaries in solids
Phase changes induced by deformation in isothermal elastic crystals
Discontinuous deformation gradients in the finite twisting of an incompressible elastic tube
Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations
A return mapping algorithm for plane stress elastoplasticity
On the Variational Foundations of Assumed Strain Methods
On the propagation of maximally dissipative phase boundaries in solids
A new unconditionally stable fractional step method for non‐linear coupled thermomechanical problems
A class of mixed assumed strain methods and the method of incompatible modes

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