Computational aspects of one-dimensional shape memory alloy modeling with phase diagrams

DOI10.1016/S0045-7825(98)00213-8zbMath0949.74048MaRDI QIDQ1964286

Sanjay Govindjee, Eric P. Kasper

Publication date: 11 December 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

cyclic loadingconstitutive modelshape memory alloysnon-uniquenessshape memory effectmartensitic solid-solid phase transformationsNiTi beamNiTi truss-bridgeone-dimensional thermomechanical loadingpseudoelasticity effect

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Stefan problems, phase changes, etc. (80A22) Crystals in solids (74N05)

Related Items (10)

A coupled dissipation functional for modeling the functional fatigue in polycrystalline shape memory alloys ⋮ One-dimensional constitutive SMA model with two martensite variants: analytical and numerical solutions ⋮ A constitutive level-set model for shape memory alloys ⋮ A multi-axial, multimechanism based constitutive model for the comprehensive representation of the evolutionary response of SMAs under general thermomechanical loading conditions ⋮ Stress-induced transformation behavior of a polycrystalline NiTi shape memory alloy: micro and macromechanical investigations via in situ optical microscopy ⋮ A multi-variant martensitic phase transformation model: Formulation and numerical implementation ⋮ Meshfree modelling and characterisation of thermomechanical behaviour of NiTi alloys ⋮ A thermodynamical formulation for the constitutive modeling of a shape memory alloy with two martensite phases ⋮ Variational modeling and finite-element simulation of functional fatigue in polycrystalline shape memory alloys ⋮ Application of a partially relaxed shape memory free energy function to estimate the phase diagram and predict global microstructure evolution

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical formulations of elasto-viscoplastic response of beams accounting for the effect of shear
• A model for memory alloys in plane strain
• 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
• Computational inelasticity
• Finite element analysis of the behavior of shape memory alloys and their applications
• 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
• On the effect of the heat generated during a stress-induced thermoelastic phase transformation
• A computational model for shape memory alloys
• Proposed experimental tests of a theory of fine microstructure and the two-well problem

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