Singular Integral Equation Solution for Torsion

by Christopher C. Lo, Member of Technical Staff; Bell Telephone Lab., Columbus, OH,
Francis W. Niedenfuhr, Special Asst. to Deputy Dir.; Adv. Res. Proj. Agency, Ofc. of the Secretary of Defense, Washington, DC,

Serial Information: Journal of the Engineering Mechanics Division, 1970, Vol. 96, Issue 4, Pg. 535-542

Document Type: Journal Paper


For a boundary value problem in elasticity with an arbitrary shape, an integral equation solution is one of the methods for which a single digital computer program with input data defining the boundary shape yields the stresses or displacements at any selected points. The resulting coefficient matrix of the solution presented herein will be shown to be relatively well-conditioned when the constant of integration is properly chosen. Consequently, an accurate result can be obtained for a torsion problem with an irregular shape.

Subject Headings: Integrals | Integral equations | Torsion | Boundary value problem | Elastic analysis | Arbitration | Boundary element method | Computer software

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