Intrinsic formulation of the displacement-traction problem in linearized elasticity
From MaRDI portal
Publication:5417941
DOI10.1142/S0218202513500814zbMath1291.74076OpenAlexW2142034848MaRDI QIDQ5417941
Christinel Mardare, Philippe G. Ciarlet
Publication date: 23 May 2014
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202513500814
displacement-traction problemboundary conditions for the linearized strain tensorintrinsic linearized elasticity
Related Items
Intrinsic formulation and Lagrange duality for elastic cable networks with geometrical nonlinearity, Expression of Dirichlet boundary conditions in terms of the strain tensor in linearized elasticity, Green's formulas with little regularity on a surface -- application to Donati-like compatibility conditions on a surface, The space \(\mathbf H(\mathop{div},\cdot)\) on a surface -- application to Donati-like compatibility conditions on a surface, Donati compatibility conditions for membrane and flexural shells, Existence and asymptotic results for an intrinsic model of small-strain incompatible elasticity, Boundary conditions in intrinsic nonlinear elasticity, Asymptotic justification of the intrinsic equations of Koiter's model of a linearly elastic shell, Donati compatibility conditions on a surface -- application to shell theory, The Incompatibility Operator: from Riemann’s Intrinsic View of Geometry to a New Model of Elasto-Plasticity, The intrinsic theory of linearly elastic plates, Topological defects and metric anomalies as sources of incompatibility for piecewise smooth strain fields, An intrinsic approach to a nonlinear model in shell theory, Analysis of the Incompatibility Operator and Application in Intrinsic Elasticity with Dislocations, The Frank tensor as a boundary condition in intrinsic linearized elasticity, The pure displacement problem in nonlinear three-dimensional elasticity: Intrinsic formulation and existence theorems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Expression of Dirichlet boundary conditions in terms of the strain tensor in linearized elasticity
- Intrinsic equations for non-linear deformation and stability of thin elastic shells
- On the characterizations of matrix fields as linearized strain tensor fields
- Two families of mixed finite elements for second order elliptic problems
- A new mixed formulation for elasticity
- Mixed finite elements in \(\mathbb{R}^3\)
- Error-bounds for finite element method
- DIRECT COMPUTATION OF STRESSES IN PLANAR LINEARIZED ELASTICITY
- Finite element exterior calculus, homological techniques, and applications
- PEERS: A new mixed finite element for plane elasticity
- ANOTHER APPROACH TO LINEARIZED ELASTICITY AND A NEW PROOF OF KORN'S INEQUALITY
- Functional spaces for norton‐hoff materials
- ON KORN'S INEQUALITIES IN CURVILINEAR COORDINATES
