Phase field models for thin elastic structures with topological constraint
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Publication:512210
DOI10.1007/s00205-016-1043-6zbMath1366.35182arXiv1507.01856OpenAlexW3105063437MaRDI QIDQ512210
Stephan Wojtowytsch, Patrick W. Dondl, Antoine Lemenant
Publication date: 24 February 2017
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.01856
Energy minimization in equilibrium problems in solid mechanics (74G65) PDEs with low regular coefficients and/or low regular data (35R05) Membranes (74K15) Optimization of shapes other than minimal surfaces (49Q10) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (15)
Connected perimeter of planar sets ⋮ Existence, regularity and structure of confined elasticae ⋮ Uniform regularity and convergence of phase-fields for Willmore's energy ⋮ Existence of varifold minimizers for the multiphase Canham-Helfrich functional ⋮ “Gradient-free” diffuse approximations of the Willmore functional and Willmore flow ⋮ On the boundary regularity of phase-fields for Willmore's energy ⋮ A topology constrained phase field model ⋮ A phase-field approach to variational hierarchical surface segmentation ⋮ Confined elasticae and the buckling of cylindrical shells ⋮ Phase field models for thin elastic structures with topological constraint ⋮ Degenerate elastic networks ⋮ Elastic curves and phase transitions ⋮ A Phase-field Approximation of the Perimeter under a Connectedness Constraint ⋮ A new diffuse-interface approximation of the Willmore flow ⋮ Connected Coulomb columns: analysis and numerics
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