Oscillatory Singularity Behaviors Near Interface Crack Tip for Mode II of Orthotropic Bimaterial
- Resource Type
- article
- Authors
- Xiaomei Yang; Weiyang Yang; Junlin Li; Xuexia Zhang
- Source
- Journal of Applied Mathematics, Vol 2013 (2013)
- Subject
- Mathematics
QA1-939
- Language
- English
- ISSN
- 1110-757X
1687-0042
The fracture behaviors near the interface crack tip for mode II of orthotropic bimaterial are discussed. The oscillatory singularity fields are researched. The stress functions are chosen which contain twelve undetermined coefficients and an unknown singularity exponent. Based on the boundary conditions and linear independence, the system of twelve nonhomogeneous linear equations is derived. According to the condition for the system of nonhomogeneous linear equations which has a solution, the singularity exponent is determined. Total coefficients are found by means of successive elimination of the unknowns. The theoretical formulae of stress intensity factors and analytic solutions of stress field near the interface crack tip are obtained. The crack tip field is shown by figures.