MODELING HETEROGENEOUS MARTENSITIC WIRES

DOI10.1142/S0218202505000406zbMath1160.74395OpenAlexW2071670852MaRDI QIDQ4678411

Nicolas Meunier, Hervé Le Dret

Publication date: 23 May 2005

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202505000406

zbMATH Keywords

phase transitionswiresmartensitic materialsThin structures

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05) Strings (74K05) Displacive transformations in solids (74N10)

Related Items (8)

Curved martensitic thin films ⋮ Asymptotic analysis and domain decomposition for a biharmonic problem in a thin multi-structure ⋮ A constrained theory for single crystal shape memory wires with application to restrained recovery ⋮ A note on equi-integrability in dimension reduction problems ⋮ A model of joined beams as limit of a 2D plate ⋮ Asymptotic variational analysis of incompressible elastic strings ⋮ A note on 3D-1D dimension reduction with differential constraints ⋮ JUNCTION IN A THIN MULTIDOMAIN FOR A FOURTH ORDER PROBLEM

Cites Work

• \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
• A variational definition of the strain energy for an elastic string
• Fine phase mixtures as minimizers of energy
• A justification of a nonlinear model in plate theory
• A justification of nonlinear properly invariant plate theories
• Heterogeneous wires made of martensitic materials.
• Heterogeneous thin films of martensitic materials
• A theory of thin films of martensitic materials with applications to microactuators
• A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity

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