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Deformation of elastic bodies with thin ligaments

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Publication:1315530
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DOI10.1016/0021-8928(92)90089-QzbMath0789.73014MaRDI QIDQ1315530

O. R. Polyakova, Sergueï A. Nazarov

Publication date: 22 March 1994

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)


zbMATH Keywords

collapsesmall parameterboundary layerelliptic system of equationsstress-deformation state


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)


Related Items

Asymptotic behavior of solutions to problems of elasticity theory at infinity in flat parabolic domains ⋮ Asymptotic behavior of a solution to the Poisson--Boltzmann equation in a three-dimensional domain with a thin bridge



Cites Work

  • Stress intensity factors for parallel cracks lying close together in a plane region
  • Antiplane shear of a domain with two closely located cracks
  • Singular asymptotics analysis for the singularity at a hole near a boundary
  • Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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