Differentiation of the energy functional in the equilibrium problem for a Timoshenko plate with a crack on the boundary of an elastic inclusion
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Publication:5374021
DOI10.1134/S1990478917020119zbMath1399.74072OpenAlexW2617070505MaRDI QIDQ5374021
Nyurgun Lazarev, Natalia Valerianovna Neustroeva
Publication date: 6 April 2018
Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1990478917020119
Brittle fracture (74R10) Plates (74K20) Theories of fracture and damage (74A45) Random materials and composite materials (74A40)
Related Items (4)
Equilibrium problem for a Timoshenko plate with a geometrically nonlinear condition of nonpenetration for a vertical crack ⋮ Problems of Thin Inclusions in a Two-Dimensional Viscoelastic Body ⋮ Chaotic contact dynamics of two microbeams under various kinematic hypotheses ⋮ Unnamed Item
Cites Work
- Fictitious domain method for an equilibrium problem of the Timoshenko-type plate with a crack crossing the external boundary at zero angle
- Asymptotic behavior of the energy functional for a three-dimensional body with a rigid inclusion and a crack
- Differentiation of the energy functional in the equilibrium problem for a Timoshenko plate containing a crack
- Problem of equilibrium of the Timoshenko plate containing a crack on the boundary of an elastic inclusion with an infinite shear rigidity
- Shape sensitivity analysis of the energy integrals for the Timoshenko-type plate containing a crack on the boundary of a rigid inclusion
- Asymptotic behavior of the solution to the Poisson equation near a crack tip with nonlinear boundary conditions on the crack faces
- Asymptotics of solutions near crack tips for Poisson equation with inequality type boundary conditions
- Shape sensitivity of curvilinear cracks on interface to nonlinear perturbations
- Shape sensitivity analysis of Timoshenko's plate with a crack under the nonpenetration condition
- Primal–dual methods of shape sensitivity analysis for curvilinear cracks with nonpenetration
- On derivative of energy functional for elastic bodies with cracks and unilateral conditions
- The Griffith formula and the Rice–Cherepanov integral for crack problems with unilateral conditions in nonsmooth domains
- Differentiation of Energy Functionals in Two-Dimensional Elasticity Theory for Solids with Curvilinear Cracks
- Existence of an optimal shape of the thin rigid inclusions in the Kirchhoff-Love plate
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