Phase transitions induced by extension in a slender SMA cylinder: analytical solutions for the hysteresis loop based on a quasi-3D continuum model
From MaRDI portal
Publication:422574
DOI10.1016/J.IJPLAS.2009.08.004zbMath1452.74093OpenAlexW1980988434MaRDI QIDQ422574
Publication date: 18 May 2012
Published in: International Journal of Plasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijplas.2009.08.004
finite strainphase transformationasymptotic expansion methodmaximal total energy dissipationrate-independent model
Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Problems involving hysteresis in solids (74N30)
Related Items (7)
Closed-form solutions for inhomogeneous states of a slender 3-D SMA cylinder undergoing stress-induced phase transitions ⋮ Analytical study on phase transition of shape memory alloy wire under uniaxial tension ⋮ Analytical study on the stress-induced phase or variant transformation in slender shape memory alloy samples ⋮ ANALYTICAL SOLUTIONS FOR THE POST-BUCKLING STATES OF AN INCOMPRESSIBLE HYPERELASTIC LAYER ⋮ A multi-axial, multimechanism based constitutive model for the comprehensive representation of the evolutionary response of SMAs under general thermomechanical loading conditions ⋮ An analytical study on the instability phenomena during the phase transitions in a thin strip under uniaxial tension ⋮ Instabilities induced by phase transformation fronts coalescence during the phase transitions in a thin SMA layer: mechanism and analytical descriptions
Cites Work
- An analytical study on the geometrical size effect on phase transitions in a slender compressible hyperelastic cylinder
- Finite element simulations of martensitic phase transitions and microstructures based on a strain softening model
- Shape memory polymers: a mesoscale model of the internal mechanism leading to the SM phenomena
- Micromechanical modeling of stress-induced phase transformations. II: Computational algorithms and examples
- Micromechanical modeling of stress-induced phase transformations. I: Thermodynamics and kinetics of coupled interface propagation and reorientation
- A three-dimensional model of the thermomechanical behavior of shape memory alloys
- Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys. I: Derivation of general relations
- Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys. II: Study of the individual phenomena
- A continuum model of a thermoelastic solid capable of undergoing phase transitions
- Equilibrium of bars
- On the thermomechanics of shape memory wires
- A thermodynamical constitutive model for shape memory materials. I: The monolithic shape memory alloy
- A thermodynamical constitutive model for shape memory materials. II: The SMA composite material
- The postulate of realizability: Formulation and applications to the post-bifurcation behaviour and phase transitions in elastoplastic materials. I
- The postulate of realizability: Formulation and applications to the post-bifurcation behaviour and phase transitions in elastoplastic materials. II
- Simulations of localized thermo-mechanical behavior in a NiTi shape memory alloy.
- A multivariant micromechanical model for SMAs. I: Crystallographic issues for single crystal model. II: Polycrystal model
- A variational formulation of rate-independent phase transformations using an extremum principle
- On the thermomechanics of materials that have multiple natural configurations
- Asymptotically approximate model equations for nonlinear dispersive waves in incompressible elastic rods
- Superelastic behavior in tension-torsion of an initially-textured Ti-Ni shape-memory alloy
- Nonlinear stability analysis of pre-stressed elastic bodies.
- Nonconvex energy minimization and dislocation structures in ductile single crystals
- Mechanics of the inelastic behavior of materials. II: Inelastic response
- Finite deformation pseudo-elasticity of shape memory alloys -- constitutive modelling and finite element implementation
- Phase transitions in a slender cylinder composed of an incompressible elastic material. I. Asymptotic model equation
- Phase transitions in a slender cylinder composed of an incompressible elastic material. II. Analytical solutions for two boundary-value problems
- Asmptoticaliy Approximate Model Equations for Weakly Nonlinear Long Waves in Compressible Elastic Rods and their Comparisons with Other Simplified Model Equations
- Polycrystalline shape-memory materials: Effect of crystallographic texture
This page was built for publication: Phase transitions induced by extension in a slender SMA cylinder: analytical solutions for the hysteresis loop based on a quasi-3D continuum model
