Entropy elasticity of isotropic rubber-like solids at finite strains
From MaRDI portal
Publication:1372789
DOI10.1016/0045-7825(96)01001-8zbMath0890.73022OpenAlexW2065967312MaRDI QIDQ1372789
Gerhard A. Holzapfel, Juan C. Simo
Publication date: 1 July 1998
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(96)01001-8
entropyconstitutive equationsstressglass transition temperatureamorphous cross-linked polymersinversion phenomenanonlinear thermoelastic problemstaggered fractional-step methodtwo-phase operator splitting
Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Thermodynamics in solid mechanics (74A15)
Related Items
A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element analysis., Energy–momentum consistent finite element discretization of dynamic finite viscoelasticity, Unified solid-fluid Lagrangian FEM model derived from hyperelastic considerations, Nonlinear coupled thermo-hyperelasticity analysis of thermal and mechanical wave propagation in a finite domain, Homogenization in finite thermoelasticity, Geometrically nonlinear continuum thermomechanics with surface energies coupled to diffusion, Kinematics and kinetics description of thermoelastic finite deformation from multiplicative decomposition of deformation gradient viewpoint, A multiplicative finite element algorithm for the inhomogeneous swelling of polymeric gels, GENERIC-based formulation and discretization of initial boundary value problems for finite strain thermoelasticity, Statistical approach for a hyper-visco-plastic model for filled rubber: experimental characterization and numerical modeling, Nonlinear mechanics of thermoelastic accretion, A monolithic computational approach to thermo-structure interaction, A new family of constitutive artificial neural networks towards automated model discovery, Incompressible rubber thermoelasticity: a neural network approach, Galerkin-based energy-momentum consistent time-stepping algorithms for classical nonlinear thermo-elastodynamics, Isogeometric analysis and thermomechanical mortar contact problems, A finite element framework for continua with boundary energies. III: The thermomechanical case, Thixotropic behaviour of rubber under dynamic loading histories: experiments and theory., Thermoelasticity at finite strains with weak and strong discontinuities, A monolithic finite element approach using high-order schemes in time and space applied to finite strain thermo-viscoelasticity, Thermal contact conductance characterization via computational contact homogenization: A finite deformation theory framework, A first order hyperbolic framework for large strain computational solid dynamics. III: Thermo-elasticity, Thermomechanical modeling of regressing heterogeneous solid propellants, Variational space-time elements for large-scale systems, Finite element analysis of tires in rolling contact, Unnamed Item, Energy‐momentum consistent algorithms for dynamic thermomechanical problems—Application to mortar domain decomposition problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lyapunov functions for thermomechanics with spatially varying boundary temperatures
- Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
- Modified entropic elasticity of rubberlike materials
- On the natural formulation and analysis of large deformation coupled thermomechanical problems
- Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
- Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
- Decomposition of deformation and representation of the free energy function for isotropic thermoelastic solids
- Introduction to vectors and tensors. Vol. 1: Linear and multilinear algebra. Vol. 2: Vector and tensor analysis
- Thermodynamics and stability
- A priori stability estimates and unconditionally stable product formula algorithms for nonlinear coupled thermoplasticity
- A new viscoelastic constitutive model for continuous media at finite thermomechanical changes
- On thermodynamics and the stability of motions of material with memory
- Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
- Entropic thermoelasticity at finite strains. Aspects of the formulation and numerical implementation
- Generalization of selective integration procedures to anisotropic and nonlinear media
- A new unconditionally stable fractional step method for non‐linear coupled thermomechanical problems
- The mechanics of rubber elasticity
- Consistent linearization in mechanics of solids and structures
- Aspects of the formulation and finite element implementation of large strain isotropic elasticity
- Thermo-mechanics of rubberlike materials
- Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids
- Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids
- Large elastic deformations of isotropic materials IV. further developments of the general theory