Analytical-variational and generalized weighted conservative integral method on solution of interfacial cracks with their applications to bi-metal glued joints
✍ Scribed by Meng Qingchun; Zhang Xing
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 571 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0013-7944
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✦ Synopsis
In this paper, first of all, the eigen expansions of displacement and stress fields satisfying all of basic equations, boundary conditions along cracked portion of interface and conditions of continuity along uncracked portion of interface are derived in a bi-metal glued joint with interfacial crack, Next, the expressions of generalized weighted conservative integrals (WCIs) and the relationships between generalized SIFs and WCIs are established. Furthermore, the coefficients in above expansions are determined by generalized variational method, then the values of conservative integrals can be obtained. The generalized SIFs found directly from leading terms of above expansions agree with that found indirectly from conservative integrals satisfactorily. The convergency of results with increase of number of terms in above expansions is very good and the magnitudes of conservative integrals along different paths keep constant accurately.