On the energy scaling behaviour of a singularly perturbed Tartar square
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Publication:2069724
DOI10.1007/s00205-021-01729-1zbMath1480.49002arXiv2104.05496OpenAlexW3156587174MaRDI QIDQ2069724
Antonio Tribuzio, Angkana Rüland
Publication date: 21 January 2022
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.05496
Numerical optimization and variational techniques (65K10) Micromechanics of solids (74M25) Existence theories for free problems in two or more independent variables (49J10) Micromechanical theories (74A60)
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On rigidity for the four-well problem arising in the cubic-to-trigonal phase transformation ⋮ On the energy scaling behaviour of singular perturbation models with prescribed dirichlet data involving higher order laminates ⋮ Energy scaling laws for microstructures: from helimagnets to martensites ⋮ On scaling properties for two-state problems and for a singularly perturbed \(T_3\) structure ⋮ Rigidity and flexibility in the modelling of shape-memory alloys ⋮ Optimal fine-scale structures in compliance minimization for a uniaxial load in three space dimensions ⋮ Energy scaling law for a singularly perturbed four-gradient problem in helimagnetism ⋮ On scaling laws for multi-well nucleation problems without gauge invariances
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