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On the Interior Stress Problem for Elastic Bodies

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Author

Summary, in English

The classic Sherman-Lauricella integral equation and an integral equation due to Muskhelishvili for the interior stress problem are modified. The modified formulations differ from the classic ones in several respects: Both modifications are based on uniqueness conditions with clear physical interpretations and, more importantly, they do not require the arbitrary placement of a point inside the computational domain. Furthermore, in the modified Muskhelishvili equation the unknown quantity, which is solved for, is simply related to the stress. In Muskhelishvili’s original formulation the unknown quantity is related to the displacement. Numerical examples demonstrate the greater stability of the modified schemes.

Publishing year

2000

Language

English

Pages

658-662

Publication/Series

Journal of Applied Mechanics

Volume

67

Issue

4

Document type

Journal article

Publisher

American Society Of Mechanical Engineers (ASME)

Topic

  • Mathematics

Status

Published

ISBN/ISSN/Other

  • ISSN: 0021-8936