On the theory of shape memory membrane shells undergoing thermoelastic phase transitions

DOI10.1134/s1995080223060288zbMath1525.74138MaRDI QIDQ6096824

S. I. Zhavoronok, A. S. Kurbatov

Publication date: 12 October 2023

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

zbMATH Keywords

incremental constitutive equationlinearized intrinsic shell theorymartensite volume ratiotangent strain tensorthermodynamical temperature

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Shells (74K25) Crystals in solids (74N05)

Cites Work

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• Stability of a cylindrical shell made of a shape-memory alloy
• Solution of the double-coupled problem of buckling of a shape memory alloy rod due to the direct thermoelastic phase transformation
• The nonlinear theory of elastic shells with phase transitions
• A theory of thin films of martensitic materials with applications to microactuators
• Simplified intrinsic equations for arbitrary elastic shells
• Asymptotic solutions of toroidal shell problems
• Extended non-linear relations of elastic shells undergoing phase transitions
• Abnormal Buckling of Thin-Walled Bodies with Shape Memory Effects Under Thermally Induced Phase Transitions
• Pressurized shape memory thin films

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