Homogenization of Kirchhoff plates joined by rivets which are modeled by the Sobolev point conditions
DOI10.1090/spmj/1649zbMath1467.74073OpenAlexW3135192732MaRDI QIDQ5858896
Publication date: 15 April 2021
Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/spmj/1649
Kirchhoff platebiharmonic equationNeumann boundary conditionboundary layerweighted estimateSobolev point transmission condition
Plates (74K20) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74)
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Cites Work
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- Asymptotics of the solution of a Dirichlet problem in an angular domain with a periodically changing boundary
- Elliptic problems in domains with piecewise smooth boundaries
- Self-adjoint elliptic boundary-value problems. The polynomial property and formally positive operators
- On multi-scale asymptotic structure of eigenfunctions in a boundary value problem with concentrated masses near the boundary
- An optimization problem for the biharmonic equation with Sobolev conditions
- Asymptotics of solutions and modelling the problems of elasticity theory in domains with rapidly oscillating boundaries
- Neumann problem in angular regions with periodic and parabolic perturbations of the boundary
- HIGHER ORDER ASYMPTOTICS OF SOLUTIONS OF PROBLEMS ON THE CONTACT OF PERIODIC STRUCTURES
- ASYMPTOTICS OF THE SOLUTION OF THE DIRICHLET PROBLEM FOR AN EQUATION WITH RAPIDLY OSCILLATING COEFFICIENTS IN A RECTANGLE
- Asymptotic behaviour of solutions of boundary-value problems for equations with rapidly oscillating coefficients in a domain with a small cavity
- The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
- Thin elastic plates supported over small areas. II. Variational-asymptotic models
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