An energy minimization approach to twinning with variable volume fraction
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Publication:6612640
DOI10.1007/s10659-022-09952-xMaRDI QIDQ6612640
Robert V. Kohn, Oleksandr Misiats, Sergio Conti
Publication date: 1 October 2024
Published in: Journal of Elasticity (Search for Journal in Brave)
bendingmartensitic phase transformationsurface energy densitysolid-solid phase transitionoptimal microstructureDirichlet/Neumann boundary condition
Energy minimization in equilibrium problems in solid mechanics (74G65) Analysis of microstructure in solids (74N15) Crystals in solids (74N05)
Cites Work
- Fine phase mixtures as minimizers of energy
- Fine properties of functions with bounded deformation
- Asymptotic self-similarity of minimizers and local bounds in a model of shape-memory alloys
- Branched microstructures: Scaling and asymptotic self-similarity
- Korn-Poincare inequalities for functions with a small jump set
- Zig-zag twins and helical phase transformations
- Optimal Fine-Scale Structures in Compliance Minimization for a Shear Load
- Proposed experimental tests of a theory of fine microstructure and the two-well problem
- Surface energy and microstructure in coherent phase transitions
- Energy minimizing twinning with variable volume fraction, for two nonlinear elastic phases with a single rank-one connection
- 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
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