A lower bound for a variational model for pattern formation in shape-memory alloys

DOI10.1007/s00161-006-0013-xzbMath1113.74020OpenAlexW2036445404MaRDI QIDQ2501872

Sergio Conti

Publication date: 12 September 2006

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-006-0013-x

zbMATH Keywords

Pattern formationNonlinear elasticityCalculus of variationsSolid-solid phase transformations

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Crystals in solids (74N05)

Related Items (14)

Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity ⋮ Froth-like minimizers of a non-local free energy functional with competing interactions ⋮ Energy Scaling and Domain Branching in Solid-Solid Phase Transitions ⋮ On the optimality of stripes in a variational model with non-local interactions ⋮ A sharp interface evolutionary model for shape memory alloys ⋮ Energy scaling laws for microstructures: from helimagnets to martensites ⋮ Striped periodic minimizers of a two-dimensional model for martensitic phase transitions ⋮ Self-similar minimizers of a branched transport functional ⋮ Study of island formation in epitaxially strained films on unbounded domains ⋮ Microstructures in low-hysteresis shape memory alloys: scaling regimes and optimal needle shapes ⋮ Minimum principles for the trajectories of systems governed by rate problems ⋮ Energy scaling and branched microstructures in a model for shape-memory alloys with SO(2) invariance ⋮ Energy scaling laws for geometrically linear elasticity models for microstructures in shape memory alloys ⋮ Energy scaling law for a singularly perturbed four-gradient problem in helimagnetism

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