Shape sensitivity analysis of the energy integrals for the Timoshenko-type plate containing a crack on the boundary of a rigid inclusion
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Publication:493605
DOI10.1007/s00033-014-0488-4zbMath1327.74095OpenAlexW2075651528MaRDI QIDQ493605
Publication date: 3 September 2015
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-014-0488-4
energy functionalcrackrigid inclusionnonpenetration conditionshape sensitivity analysisTimoshenko-type plate
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Cites Work
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- Shape derivative of the energy functional in a problem for a thin rigid inclusion in an elastic body
- Optimal rigid inclusion shapes in elastic bodies with cracks
- Shape sensitivity analysis of Timoshenko's plate with a crack under the nonpenetration condition
- Shapes and Geometries
- From shape variation to topological changes in constrained minimization: a velocity method-based concept
- Primal–dual methods of shape sensitivity analysis for curvilinear cracks with nonpenetration
- Global spatial regularity for elasticity models with cracks, contact and other nonsmooth constraints
- The Shape Derivative of the Energy Integral in Elasticity Theory for Bodies with Rigid Inclusions and Cracks
- An iterative penalty method for a nonlinear problem of equilibrium of a Timoshenko-type plate with a crack
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