Solving the plane problem of elasticity theory for a radially inhomogeneous body in displacements

DOI10.1007/BF00887209zbMath0657.73012OpenAlexW2038417047MaRDI QIDQ3806008

V. I. Andreev

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf00887209

zbMATH Keywords

partial differential equationspolar coordinatessemi-analytical approachannular disccosine-like distributed normal stresses at the outerfastened at the innerFourier series as coefficientsfree at the inner boundarysolved successively in pairs by use of numerical methodssystem of ordinary differential equations of the first orderuniform shear stresses at the outer contour

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Plates (74K20) Inhomogeneity in solid mechanics (74E05)

Cites Work

• Application of the Betti reciprocity theorem in the elasticity theory of inhomogeneous bodies
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