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Antiplane elasticity crack problem for a strip of functionally graded materials with mixed boundary condition

โœ Scribed by Y.Z. Chen; X.Y. Lin; Z.X. Wang

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
283 KB
Volume
37
Category
Article
ISSN
0093-6413

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โœฆ Synopsis

In this paper, elastic analysis for a collinear crack problem in antiplane elasticity of functionally graded materials (FGMs) is presented. It is assumed that the upper edge of strip is of traction free, and the lower edge is fixed. The Fourier transform method is used to derive an elementary solution. After using the obtained elementary solution, the singular integral equation is formulated for the collinear crack problem. Furthermore, from the solution of the singular integral equation the stress intensity factor at the crack tip can be evaluated immediately. Finally, numerical solutions are provided.

๐Ÿ“œ SIMILAR VOLUMES

A hypersingular boundary integral equati
A hypersingular boundary integral equation for a class of antiplane multiple crack problems for inhomogeneous elastic materials
โœ Ang, W. T. ;Clements, D. L. ;Cooke, T. ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 115 KB ๐Ÿ‘ 2 views

An antiplane multiple crack problem is considered for inhomogeneous isotropic elastic materials. The problem is reduced to a boundary integral equation involving hypersingular integrals. The boundary integral equation may be solved numerically using standard procedures. Some crack problems for a par