Existence and time-discretization for the finite-strain Souza-Auricchio constitutive model for shape-memory alloys
type: Item
instance of: scholarly article
title: Existence and time-discretization for the finite-strain Souza-Auricchio constitutive model for shape-memory alloys
zbMATH Open document ID: 1342.74031
author: Sergio Frigeri
author: Ulisse Stefanelli
published in: Continuum Mechanics and Thermodynamics
publication date: 2016-08-12T00:00:00Z
Mathematics Subject Classification ID: 74C15
Mathematics Subject Classification ID: 74N30
Mathematics Subject Classification ID: 74H15
Mathematics Subject Classification ID: 74H20
zbMATH DE Number: 6614446
zbMATH Keywords: shape-memory alloys
zbMATH Keywords: finite-strain
zbMATH Keywords: phase transformations in solids
zbMATH Keywords: rate-independence
zbMATH Keywords: existence
zbMATH Keywords: time-discretization
MaRDI profile type: Publication
full work available at URL: s00161-011-0221-x
OpenAlex ID: W1970599468
cites work: On the robustness and efficiency of integration algorithms for a 3D finite strain phenomenological SMA constitutive model
cites work: A 3D finite strain phenomenological constitutive model for shape memory alloys considering martensite reorientation
cites work: A three-dimensional phenomenological model for magnetic shape memory alloys
cites work: A RATE-INDEPENDENT MODEL FOR THE ISOTHERMAL QUASI-STATIC EVOLUTION OF SHAPE-MEMORY MATERIALS
cites work: Improvements and algorithmical considerations on a recent three-dimensional model describing stress-induced solid phase transformations
cites work: A three‐dimensional model describing stress‐temperature induced solid phase transformations: solution algorithm and boundary value problems
cites work: A three‐dimensional model describing stress‐temperature induced solid phase transformations: thermomechanical coupling and hybrid composite applications
cites work: Q3438853
cites work: A three-dimensional model describing stress-induced solid phase transformation with permanent inelasticity
cites work: A macroscopic 1D model for shape memory alloys including asymmetric behaviors and transformation-dependent elastic properties
cites work: A one-dimensional model for superelastic shape-memory alloys with different elastic properties between austenite and martensite
cites work: Shape-memory alloys: Modelling and numerical simulations of the finite-strain superelastic behavior
cites work: MAGNETIC SHAPE MEMORY ALLOYS: THREE-DIMENSIONAL MODELING AND ANALYSIS
cites work: Non–convex potentials and microstructures in finite–strain plasticity
cites work: A finite element model for shape memory alloys considering thermomechanical couplings at large strains
cites work: A rate-independent model for permanent inelastic effects in shape memory materials
cites work: Thermal control of the Souza-Auricchio model for shape memory alloys
cites work: Phenomenological 3D and 1D consistent models for shape-memory alloy materials
cites work: A 3D SMA constitutive model in the framework of finite strain
cites work: Q2759325
cites work: An introduction to continuum mechanics
cites work: Shape memory behaviour: Modelling within continuum thermomechanics
cites work: Existence and non-existence for the full thermomechanical Souza-Auricchio model of shape memory wires
cites work: Well-posedness of a thermo-mechanical model for shape memory alloys under tension
cites work: A three-dimensional phenomenological model for martensite reorientation in shape memory alloys
cites work: A 3-D constitutive model for shape memory alloys incorporating pseudoelasticity and detwinning of self-accommodated martensite
cites work: Elastic-Plastic Deformation at Finite Strains
cites work: Thermomechanical theory of martensitic phase transformations in inelastic materials
cites work: Finite Elastoplasticity Lie Groups and Geodesics on SL(d)
cites work: Energetic formulation of multiplicative elasto-plasticity using dissipation distances
cites work: Q3370609
cites work: Existence results for energetic models for rate-independent systems
cites work: Global existence for rate-independent gradient plasticity at finite strain
cites work: Q5457461
cites work: Existence of Minimizers in Incremental Elasto-Plasticity with Finite Strains
cites work: Lower semicontinuity and existence of minimizers in incremental finite‐strain elastoplasticity
cites work: On Existence and Approximation for a 3D Model of Thermally Induced Phase Transformations in Shape-Memory Alloys
cites work: Error Estimates for Space-Time Discretizations of a Rate-Independent Variational Inequality
cites work: Q5446144
cites work: On rate-independent hysteresis models
cites work: A thermodynamic finite-strain model for pseudoelastic shape memory alloys
cites work: Q4293216
cites work: Finite deformation pseudo-elasticity of shape memory alloys -- constitutive modelling and finite element implementation
cites work: Models of Microstructure Evolution in Shape Memory Alloys
cites work: Three-dimensional model for solids undergoing stress-induced phase transformations
cites work: Three-dimensional phenomenological thermodynamic model of pseudoelasticity of shape memory alloys at finite strains
DOI: 10.1007/S00161-011-0221-X
description: scientific article; zbMATH DE number 6614446