Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity
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Publication:2180935
DOI10.1007/s00205-020-01525-3zbMath1457.49010arXiv1910.03845OpenAlexW3019194787MaRDI QIDQ2180935
Manuel Friedrich, Vito Crismale
Publication date: 15 May 2020
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.03845
Classical linear elasticity (74B05) Variational problems in a geometric measure-theoretic setting (49Q20) Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Length, area, volume, other geometric measure theory (28A75) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)
Related Items (10)
From atomistic systems to linearized continuum models for elastic materials with voids ⋮ Unnamed Item ⋮ Equilibrium Configurations for Nonhomogeneous Linearly Elastic Materials with Surface Discontinuities ⋮ A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions ⋮ Two-phase models for elastic membranes with soft inclusions ⋮ A derivation of Griffith functionals from discrete finite-difference models ⋮ Lower semicontinuity for functionals defined on piecewise rigid functions and on \(GSBD\) ⋮ Surface evolution of elastically stressed films ⋮ Area quasi-minimizing partitions with a graphical constraint: relaxation and two-dimensional partial regularity ⋮ Lower semicontinuity inGSBDfor nonautonomous surface integrals
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