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On the Interior Stress Problem for Elastic Bodies

In English

Författare

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.

Publiceringsår

2000

Språk

Engelska

Sidor

658-662

Publikation/Tidskrift/Serie

Journal of Applied Mechanics

Volym

67

Issue

4

Dokumenttyp

Artikel i tidskrift

Förlag

American Society Of Mechanical Engineers (ASME)

Ämne

  • Mathematics

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 0021-8936