Perturbation method in boundary-value problems of the mechanics of deformable bodies

DOI10.1007/BF00884005zbMath0561.73019OpenAlexW2003353857MaRDI QIDQ5186815

N. A. Shul'ga, K. I. Shnerenko, Veniamin D. Kubenko, Yu. N. Nemish

Publication date: 1983

Published in: Soviet Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00884005

zbMATH Keywords

surveybendingbibliographyperturbation methoddynamic problemsdeformable bodiescurvilinear holesplanar problemsthree dimensional problemscoupled elasticitynoncanonical domainsnonorthogonal boundary surfacesTimoshenko problemstwo- and three-dimensional boundary-value problems

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Stress concentrations, singularities in solid mechanics (74G70) Wave scattering in solid mechanics (74J20) Membranes (74K15) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)

Related Items (1)

A boundary-perturbation finite element method for plane elasticity problems

Cites Work

• Heat-conduction and thermoelasticity boundary-value problems for almost-cylindrical deformable bodies
• Contribution to the solution of spatial problems of the elasticity theory of a transversally isotropic medium for noncanonical regions
• Three-dimensional problems in the theory of elasticity for multilayer cylinders with noncanonical interfaces
• Application of the Betti reciprocity theorem in the elasticity theory of inhomogeneous bodies
• Basis of the perturbation method for three-dimensional mechanics of deformable media
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