Nonlinear stability of the time-discrete variational problem of evolution in nonlinear heat conduction, plasticity and viscoplasticity

From MaRDI portal
Publication:1190436

DOI10.1016/0045-7825(91)90235-XzbMath0751.73066OpenAlexW2011746985MaRDI QIDQ1190436

Juan C. Simo

Publication date: 26 September 1992

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(91)90235-x



Related Items

Thermodynamic conditions for stability in materials with rate-independent dissipation, Transfer operators for evolving meshes in small strain elasto-plasticity, An adaptive finite element algorithm for contact problems in plasticity, Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations, Formulation and sequential numerical algorithms of coupled fluid/heat flow and geomechanics for multiple porosity materials, Stable splitting scheme for general form of associated plasticity including different scales of space and time, Stability and convergence of sequential methods for coupled flow and geomechanics: fixed-stress and fixed-strain splits, Stability and convergence of sequential methods for coupled flow and geomechanics: drained and undrained splits, Robust modeling of hysteretic capillary pressure and relative permeability for two phase flow in porous media, Unconditionally stable sequential schemes for all-way coupled thermoporomechanics: undrained-adiabatic and extended fixed-stress splits, The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics, Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics, Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory, Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation, General solution procedures in elasto/viscoplasticity, A new class of algorithms for classical plasticity extended to finite strains. Application to geomaterials, On a New Concept and Foundations of an Arbitrary Reference Configuration (ARC) Theory and Formulation for Computational Finite Deformation Applications—Part II: Elasto-Plasticity, An unconditionally stable algorithm for generalized thermoelasticity based on operator-splitting and time-discontinuous Galerkin finite element methods, Algorithms by Design: Part III—A Novel Normalized Time Weighted Residual Methodology and Design of Optimal Symplectic-Momentum Based Controllable Numerical Dissipative Algorithms for Nonlinear Structural Dynamics, An implicit integration algorithm for the finite element implementation of a nonlinear anisotropic material model including hysteretic nonlinearity, Time discretized operators. II: Towards the theoretical design of a new generation of a generalized family of unconditionally stable implicit and explicit representations of arbitrary order for computational dynamics., Energy‐momentum consistent algorithms for dynamic thermomechanical problems—Application to mortar domain decomposition problems


Uses Software


Cites Work