DIRECT EXPRESSION OF INCOMPATIBILITY IN CURVILINEAR SYSTEMS

DOI10.1017/S1446181116000158zbMath1376.35040MaRDI QIDQ5369459

Nicolas Van Goethem

Publication date: 17 October 2017

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

curvilinear coordinatesincompatibility operator

Mathematics Subject Classification ID

Higher-order elliptic systems (35J48) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (3)

Incompatibility-governed singularities in linear elasticity with dislocations ⋮ Existence and asymptotic results for an intrinsic model of small-strain incompatible elasticity ⋮ The Frank tensor as a boundary condition in intrinsic linearized elasticity

Cites Work

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• An introduction to differential geometry with applications to elasticity
• Linear elasticity for constrained materials: Incompressibility
• A compatible-incompatible decomposition of symmetric tensors inL^pwith application to elasticity
• Fields of bounded deformation for mesoscopic dislocations
• A distributional approach to 2D Volterra dislocations at the continuum scale
• On the relation between the principle of maximum dissipation and inelastic evolution given by dissipation potentials
• Harmonic Dispersion Analysis of Incremental Waves in Uniaxially Prestressed Plastic and Viscoplastic Bars, Plates, and Unbounded Media
• Analysis of the Incompatibility Operator and Application in Intrinsic Elasticity with Dislocations

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