Mathematical modeling of finite deformations in shape memory materials

DOI10.1134/S1995080221080278zbMath1486.74111OpenAlexW3196771490WikidataQ125170753 ScholiaQ125170753MaRDI QIDQ1980352

O. S. Stolbova, Anatoly A. Rogovoy

Publication date: 8 September 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221080278

zbMATH Keywords

finite element methodboundary value problemshape memory alloyconstitutive modelingrelaxation transitionaustenitic-martensitic phase transition

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Finite element methods applied to problems in solid mechanics (74S05) Crystals in solids (74N05)

Cites Work

• Modeling elastic-inelastic processes in shape memory alloys at finite deformations
• Modeling thermomechanical processes in shape memory polymers under finite deformations
• Formalized approach to construction of the state equations for complex media under finite deformations
• A constitutive theory for shape memory polymers. I: Large deformations
• Cyclic thermomechanical behavior of a polycrystalline pseudoelastic shape memory alloy
• Thermomechanics of shape memory polymers: uniaxial experiments and constitutive modeling
• Magnetic shape-memory alloys: thermomechanical modelling and analysis
• Shape Memory Alloys
• Unnamed Item

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