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New singular integral equations for circular arc crack and rigid line problem

โœ Scribed by Y.Z. Chen

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
449 KB
Volume
47
Category
Article
ISSN
0013-7944

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โœฆ Synopsis

Ahstrac-Taking the crack opening displacement (COD) as the unknown function and the resultant force as the right hand term (RHD) in the resulting integral equation, a singular integral equation for the circular arc crack problem is formulated. Similarly, taking the jump of the resultant force along the circular arc rigid line as the unknown function and the prescribed displacement as the RI-ID, a singular integral equation for the circular arc rigid line problem is obtainable. It is proved that Vekua's regularization is possible for the proposed singular integral equations. In the case of remote stress, solutions in a closed form am derived.

๐Ÿ“œ SIMILAR VOLUMES

An alternative fredholm integral equatio
An alternative fredholm integral equation approach for multiple crack problem and multiple rigid line problem in plane elasticity
โœ Chen Yi-Zhou; Hasebe Norio ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 820 KB

An alternative Fredholm integral equation approach for the multiple crack problem and the multiple rigid line problem in plane elasticity is suggested in this paper. After using some operators on both sides of the singular integral equation for the relevant problem, an alternative Fredholm integral