Structure-preserving finite difference scheme for 1D thermoviscoelastoplastic equations under uniformly distributed temperature

DOI10.1016/j.matcom.2023.03.002OpenAlexW4323659884MaRDI QIDQ6104719

Shuji Yoshikawa, Takuto Nagata

Publication date: 28 June 2023

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2023.03.002

zbMATH Keywords

hysteresisenergy methoderror estimatefinite difference methodsexistence of solutionthermoviscoelastoplasticitystructure-preservingperfect elastoplasticity

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinearly coupled thermo-visco-elasticity
• Global existence result for thermoviscoelastic problems with hysteresis
• On optimal control of a sweeping process coupled with an ordinary differential equation
• Energy method for structure-preserving finite difference schemes and some properties of difference quotient
• Asymptotic behaviour for a phase-field model with hysteresis in one-dimensional thermo-visco-plasticity.
• Differential models of hysteresis
• On a system of nonlinear PDEs with temperature-dependent hysteresis in one-dimensional thermoplasticity
• On a new model for fatigue and phase transition in an oscillating elastoplastic plate
• Hysteresis and phase transitions
• Elastoplasticity theory
• Temperature-dependent hysteresis in one-dimensional thermovisco-elastoplasticity
• Remarks on energy methods for structure-preserving finite difference schemes -- small data global existence and unconditional error estimate
• Numerical approaches to thermally coupled perfect plasticity
• An error estimate for structure-preserving finite difference scheme for the Falk model system of shape memory alloys
• Phase-Field Models with Hysteresis in One-Dimensional Thermoviscoplasticity
• One-Dimensional Shape Memory Alloy Problems Including a Hysteresis Operator
• Optimal Control for Shape Memory Alloys of the One-Dimensional Frémond Model
• A model for temperature-induced phase transformations in finite-strain elasticity
• Stability of the steady state for the Falk model system of shape memory alloys
• Geometric Numerical Integration