Bhat, Sunil and Ukadgaonker, Vijay G. (2012) Solution of Singular Integrals in Mathematical Model of Mode I Crack near Strength Mismatched Interface. American Journal of Computational Mathematics, 02 (02). pp. 156-162. ISSN 2161-1203
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Abstract
Characteristics of Mode I crack near the interface of elasticity matched but plasticity and strength mismatched materials differ from those of the crack in a homogenous body. Interface body of different strength influences the plastic or cohesive zone at the crack tip in parent body. The mathematical model for load line opening of the crack near the interface in linear elastic regime involves singular integrals. The paper presents explicit solution of these integrals with the help of Cauchy’s principal value theorem. Cases of thin and thick welds between the materials are investigated. Solutions of the integrals are well substantiated. Final results are provided in a consolidated form.
Item Type: | Article |
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Subjects: | STM One > Mathematical Science |
Depositing User: | Unnamed user with email support@stmone.org |
Date Deposited: | 20 Jun 2023 11:03 |
Last Modified: | 16 Sep 2024 10:14 |
URI: | http://publications.openuniversitystm.com/id/eprint/1428 |