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Bounding theorems for stress intensity factors

✍ Scribed by Tamar Gottesman

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
583 KB
Volume
17
Category
Article
ISSN
0013-7944

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✦ Synopsis

Bounding theorems for the changes in elastic energy due to a crack in a finite body and crack tip Stress Intensity Factors are established by use of the variational_princjples of the theory of elasticity. It is shown that the change in elastic energy due to a crack in a finite body is larger than the change in energy due to the same crack in an infinite body with the same boundary conditions when stresses are prescribed on the external boundary, and smaller when displacements are prescribed. The energy changes can be expressed as functions of the crack tip Stress Intensity Factors and for special loadings, bounds for single mode Stress Intensity Factors are obtained. The obtained inequalities are in agreement with known numerical solutions of finite cracked bodies.

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