Lame polynomial solutions to some elliptic crack and punch problems

DOI10.1016/0020-7225(78)90019-8zbMath0383.73081OpenAlexW1985998422MaRDI QIDQ1248402

R. Shail

Publication date: 1978

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(78)90019-8

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Brittle damage (74R05)

Related Items (5)

Determination of the contact pressure under a punch with an elliptic cross section ⋮ Some asymmetric Stokes-flow problems ⋮ A potential problem arising from the strip-punch problem in elasticity ⋮ A three-dimensional parabolic punch problem in linear elasticity ⋮ Elliptical crack under the action of shearing stresses of polynomial form

Cites Work

• Contact problems of the theory of elasticity in the presence of wear
• Boussinesq problems for an anisotropic half-space
• A note on geometric discontinuities in elastostatics
• The stress field around an elliptical crack in an anisotropic elastic medium
• On the distribution of thermal stresses around an elliptical crack in an infinite solid
• The distribution of stress in an anisotropic elastic body containing an exterior crack
• Some axially symmetric stress distributions in elastic solids containing penny-shaped cracks I. Cracks in an infinite solid and a thick plate
• ORTHOGONAL POLYNOMIAL SOLUTIONS TO SOME MIXED BOUNDARY-VALUE PROBLEMS IN ELASTICITY. II
• A CLASS OF NON-SYMMETRICAL PUNCH AND CRACK PROBLEMS
• INTEGRAL EQUATIONS AND RELATIONS FOR LAMÉ FUNCTIONS
• Lamé's Equation and Its Use in Elliptic Cone Problems
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