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Systems of finite-part singular integral equations in Lp applied to crack problems

โœ Scribed by E.G. Ladopoulos

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
779 KB
Volume
48
Category
Article
ISSN
0013-7944

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โœฆ Synopsis

The solution of systems of finite-part singular integral equations defined in L,,with many applications in mathematical physics is investigated. A finite-part singular integral representatron analysis in L,, is proposed, by proving that every system of finite-part singular integral equations is equivalent to an additional system of Fredholm equations. Some finite-part singular integral equation solubihty theorems defined in Lp are further presented, by applying the index of the finite-part singular integral equations. A fracture mechanics application is finally given, for the determination of the stress intensity factors at the tips of a crack normal to a bimaterial interface.

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