An energy‐entropy‐consistent time stepping scheme for nonlinear thermo‐viscoelastic continua
From MaRDI portal
Publication:6064979
DOI10.1002/zamm.201300268MaRDI QIDQ6064979
No author found.
Publication date: 11 December 2023
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Numerical and other methods in solid mechanics (74Sxx) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx) Coupling of solid mechanics with other effects (74Fxx)
Related Items
A minimizing-movements approach to GENERIC systems ⋮ GENERIC-based formulation and discretization of initial boundary value problems for finite strain thermoelasticity ⋮ A continuum and computational framework for viscoelastodynamics. II: Strain-driven and energy-momentum consistent schemes ⋮ Structure-preserving integrators for dissipative systems based on reversible– irreversible splitting ⋮ Structure-preserving time integration of non-isothermal finite viscoelastic continua related to variational formulations of continuum dynamics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Formulation of thermoelastic dissipative material behavior using GENERIC
- Energy-entropy-momentum integration of discrete thermo-visco-elastic dynamics
- Galerkin-based energy-momentum consistent time-stepping algorithms for classical nonlinear thermo-elastodynamics
- A comparison of structure-preserving integrators for discrete thermoelastic systems
- On the use of large time steps with an energy momentum conserving algorithm for non-linear hypoelastic constitutive models
- Algorithms for coupled problems that preserve symmetries and the laws of thermodynamics: part I: Monolithic integrators and their application to finite strain thermoelasticity
- Algorithms for coupled problems that preserve symmetries and the laws of thermodynamics. II: Fractional step methods
- Thermodynamic model formulation for viscoplastic solids as general equations for non-equilibrium reversible-irreversible coupling
- A new mathematical theory of simple materials
- A mathematical theory of the mechanical behavior of continuous media
- Finite anisotropic elasticity and material frame indifference from a nonequilibrium thermodynamics perspective
- Thermodynamic considerations on non-isothermal finite anisotropic elasto-viscoplasticity
- The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
- Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
- Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. I: Motion of a single particle
- Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. II: Motion of a system of particles
- A theory of finite viscoelasticity and numerical aspects
- The matrix model, a driven state variables approach to non-equilibrium thermodynamics
- Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
- On the formulation of continuum thermodynamic models for solids as general equations for non-equilibrium reversible-irreversible coupling
- The discrete null-space method for the energy-consistent integration of constrained mechanical systems. I: Holonomic constraints
- A consistent time FE method for large strain elasto-plasto-dynamics
- Energy‐momentum consistent algorithms for dynamic thermomechanical problems—Application to mortar domain decomposition problems
- Geometric Numerical Integration
- Thermodynamically consistent time-stepping algorithms for non-linear thermomechanical systems
- The discrete null space method for the energy consistent integration of constrained mechanical systems. Part II: multibody dynamics
- A mortar method for energy-momentum conserving schemes in frictionless dynamic contact problems
- Zur Formulierung von Stoffgesetzen der Plastomechanik im Dehnungsraum nach Ilyushins Postulat
- Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum
- Finite-Element Methods for Nonlinear Elastodynamics Which Conserve Energy
- Studies in elastic fracture mechanics based on the material force method
- An energy–momentum conserving algorithm for non-linear hypoelastic constitutive models
- Energy–momentum consistent finite element discretization of dynamic finite viscoelasticity
- Conservation properties of a time FE method. Part IV: Higher order energy and momentum conserving schemes