Some integral relations of Hankel transform type and applications to elasticity theory

DOI10.1007/BF01694053zbMath0488.73015MaRDI QIDQ1166299

Steen Krenk

Publication date: 1982

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

infinite elastic bodystatic problemdominant part of integral equationevaluated in terms of orthogonal polynomialsgeneral loadsrelations of Hankel transform typetwo coupled integral equationsvector boundary conditions

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Contact in solid mechanics (74M15) Plates (74K20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Dynamical problems in solid mechanics (74H99) Brittle damage (74R05) Elastic materials (74B99) Theories of friction (tribology) (74A55)

Related Items (3)

On dual transform of fractional Hankel transform ⋮ Hypersingular integral equations over a disc: convergence of a spectral method and connection with Tranter's method ⋮ Explicit energy calculation for a charged elliptical plate

Cites Work

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• Asymmetric vibrations of a circular elastic plate on an elastic half space
• A Circular Crack Under Asymmetric Loads and Some Related Integral Equations
• Vibration of an Elastic Circular Plate on an Elastic Half Space—A Direct Approach
• A numerical scheme for mixed boundary value problems in elasticity
• POLYNOMIAL SOLUTIONS FOR AN ELLIPSE ON AN ANISOTROPIC ELASTIC HALF-SPACE
• On the Solution of Simultaneous Dual Integral Equations
• Simultaneous Pairs of Dual Integral Equations

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