Introduction of stress functions around a circular interface crack between dissimilar materials

✍ Scribed by Y. Murase; K. Nakagawa; T. Hachiya; S.J. Duan

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 606 KB
• Volume: 53
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(95)00043-7

✦ Synopsis

The stress concentration around a circular interface crack between two dissimilar elastic planes is analysed in this paper. The constructive algorithm of the group of general stress functions which satisfy the crack boundary conditions is introduced. From that, six analytic solutions are selected to the problem of uniform tension acting at infinity. Then, the values and characters of the stress distribution and the crack opening displacements are investigated, which is by the following comparisons: the results for three different types of weight functions; the energy release rates (J-integrals); and the numerical results by finite element method.

13 3b(t)

/' ,~,, \ 13 3a(t) 13 4(0 :l ~,.%/ "'. 'X \ .P 2 (t). (d (.d + I~ Fig. 2. Weight functions (four types).