The Frank tensor as a boundary condition in intrinsic linearized elasticity

DOI10.3934/JGM.2016013zbMath1356.35244OpenAlexW2552975191MaRDI QIDQ728201

Nicolas Van Goethem

Publication date: 19 December 2016

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2016013

zbMATH Keywords

variational formulationdifferential geometrylinearized elasticityincompatibilityintrinsic formulationboudary conditionFrank tensor

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Theories of fracture and damage (74A45) Surfaces in Euclidean and related spaces (53A05) Elastic materials (74B99) PDEs in connection with mechanics of deformable solids (35Q74) Variational methods for higher-order elliptic equations (35J35) Higher-order elliptic systems (35J48) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (3)

The Incompatibility Operator: from Riemann’s Intrinsic View of Geometry to a New Model of Elasto-Plasticity ⋮ Incompatibility-governed elasto-plasticity for continua with dislocations ⋮ Poincaré path integrals for elasticity

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