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Second-order terms and strain energy density for the angled crack problem

โœ Scribed by R.N.L. Smith

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
444 KB
Volume
26
Category
Article
ISSN
0013-7944

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โœฆ Synopsis

The singular expansions for elastic stresses and displacements at a crack tip are incapable of describing some aspects of local behaviour adequately.

In this paper we give the correct form of the next terms in the expansions for the angled crack problem. A formula using first and second order terms for the calculation of stram energy density is derived and is compared with exact solutions. The use of second order terms is shown to be essential (and sufficient) for the accurate determination of strain energy density. Examples are given which show that a minimum strain energy density may not exist and that this criterion may not agree with experimental values as well as the maximum tensile stress criterion.

๐Ÿ“œ SIMILAR VOLUMES

On the application of the strain energy
On the application of the strain energy density theory in predicting crack initiation and angle of growth
โœ A.K. Wong ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 975 KB

Until recently, the one-parameter singular expression for stresses near a crack-tip was widely thought to be sufficiently accurate over a reasonable region for any geometry and loading conditions. This view has been fast changing due to the growing evidence that the inclusion of higher order terms c