Collisions in shape memory alloys

DOI10.1002/gamm.201730002zbMath1525.74018arXiv1705.11121OpenAlexW2964141530MaRDI QIDQ6054247

Elisabetta Rocca, Michel Frémond, Michele Marino

Publication date: 24 October 2023

Published in: GAMM-Mitteilungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.11121

zbMATH Keywords

numerical examplesshape memory alloyscollisionsexistence and uniqueness result

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Classical linear elasticity (74B05) Impact in solid mechanics (74M20) PDEs in connection with mechanics of deformable solids (35Q74) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Cites Work

• Phase change in mechanics.
• A model for shape memory alloys with the possibility of voids
• Higher integrability of the gradient in linear elasticity
• Impact-induced phase transformation in shape memory alloys
• Virtual work and shape change in solid mechanics
• Attractors for a three-dimensional thermo-mechanical model of shape memory alloys
• Analysis of a variable time-step discretization of the three-dimensional Frémond model for shape memory alloys
• Thermo-mechanical evolution of shape memory alloys
• Global solvability of a dissipative Frémond model for shape memory alloys. I. Mathematical formulation and uniqueness
• Global solvability of a dissipative Frémond model for shape memory alloys. II. Existence
• Global existence for the three-dimensional Frémond model of shape memory alloys
• Perturbations of nonlinear maximal monotone sets in banach space
• Global solution to a Frémond model for shape memory alloys with thermal memory
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