Well-posedness of a thermo-mechanical model for shape memory alloys under tension

DOI10.1051/m2an/2010024zbMath1427.74039OpenAlexW2000623076MaRDI QIDQ3066769

Pavel Krejči, Ulisse Stefanelli

Publication date: 12 January 2011

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/245230

zbMATH Keywords

well-posednessshape memory alloysthermo-mechanicshysteresis operator

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Problems involving hysteresis in solids (74N30) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (8)

Existence and linearization for the Souza-Auricchio model at finite strains ⋮ Magnetic shape-memory alloys: thermomechanical modelling and analysis ⋮ A phenomenological model for the magneto-mechanical response of single-crystal magnetic shape memory alloys ⋮ A macroscopic model for magnetic shape-memory single crystals ⋮ Gradient structures for the thermomechanics of shape-memory materials ⋮ Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials ⋮ The Souza-Auricchio model for shape-memory alloys ⋮ Existence and time-discretization for the finite-strain Souza-Auricchio constitutive model for shape-memory alloys

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A macroscopic 1D model for shape memory alloys including asymmetric behaviors and transformation-dependent elastic properties
• A three-dimensional model describing stress-induced solid phase transformation with permanent inelasticity
• Thermomechanical theory of martensitic phase transformations in inelastic materials
• Three-dimensional model for solids undergoing stress-induced phase transformations
• Differential models of hysteresis
• A one-dimensional model for superelastic shape-memory alloys with different elastic properties between austenite and martensite
• Shape memory behaviour: Modelling within continuum thermomechanics
• Modelling and numerical simulation of martensitic transformation in shape memory alloys
• Hysteresis and phase transitions
• A 3-D constitutive model for shape memory alloys incorporating pseudoelasticity and detwinning of self-accommodated martensite
• Finite deformation pseudo-elasticity of shape memory alloys -- constitutive modelling and finite element implementation
• A model of 3D shape memory alloy materials
• Existence and non-existence for the full thermomechanical Souza-Auricchio model of shape memory wires
• Models of Microstructure Evolution in Shape Memory Alloys
• Error Estimates for Space-Time Discretizations of a Rate-Independent Variational Inequality
• MAGNETIC SHAPE MEMORY ALLOYS: THREE-DIMENSIONAL MODELING AND ANALYSIS
• Existence and uniqueness of global solutions to an extended model of the dynamical developments in shape memory alloys
• A RATE-INDEPENDENT MODEL FOR THE ISOTHERMAL QUASI-STATIC EVOLUTION OF SHAPE-MEMORY MATERIALS
• On Existence and Approximation for a 3D Model of Thermally Induced Phase Transformations in Shape-Memory Alloys
• The Thermomechanics of Plasticity and Fracture
• Global existence for a three-dimensional model for the thermo-mechanical evolution of shape memory alloys
• Improvements and algorithmical considerations on a recent three-dimensional model describing stress-induced solid phase transformations
• Global existence for the three-dimensional Frémond model of shape memory alloys
• A three‐dimensional model describing stress‐temperature induced solid phase transformations: thermomechanical coupling and hybrid composite applications
• Quasi‐Linear Thermoelasticity System Arising in Shape Memory Materials
• A three‐dimensional model describing stress‐temperature induced solid phase transformations: solution algorithm and boundary value problems
• Polycrystalline shape-memory materials: Effect of crystallographic texture
• Analysis of a variable time-step discretization for the Penrose-Fife phase relaxation problem
• A multi-variant martensitic phase transformation model: Formulation and numerical implementation

This page was built for publication: Well-posedness of a thermo-mechanical model for shape memory alloys under tension