A shape memory alloy helix model accounting for extension and torsion

DOI10.1016/J.EUROMECHSOL.2021.104281zbMath1480.74180OpenAlexW3158700476MaRDI QIDQ2049636

Yanyan Li

Publication date: 27 August 2021

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2021.104281

zbMATH Keywords

phase transitionshape memory alloyNewton-Raphson iterative methodbackward-Euler implicit integrationhelix spring model

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite difference methods applied to problems in solid mechanics (74S20) Crystals in solids (74N05)

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Uses Software

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Cites Work

• A theory of thin rods with application to helical constituent wires in cables
• Three-dimensional model for solids undergoing stress-induced phase transformations
• Thermodynamics of isotropic pseudoelasticity in shape memory alloys
• A thermodynamical constitutive model for shape memory materials. I: The monolithic shape memory alloy
• A one-dimensional model for superelastic shape-memory alloys with different elastic properties between austenite and martensite
• Shape-memory alloys: Modelling and numerical simulations of the finite-strain superelastic behavior
• Generalized plasticity and shape-memory alloys
• Phenomenological 3D and 1D consistent models for shape-memory alloy materials
• Improvements and algorithmical considerations on a recent three-dimensional model describing stress-induced solid phase transformations

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