The fracture problem which is the same as that in paper [ 1 ] is further discussed in this paper. The analysis of fracture behaviours near crack tip for infinite linear elastic orthotropic composite plate with a central through crack of length 2 a is carried out. The geometry and loading conditions are shown in Fig. 1. To solve such a problem, we need to solve the partial differential equation with the following boundary conditions: QII 34w 34w c94w 3x---2-+ 2( Q12 + 2Q66) 3x2ay 2 + Q22 --
By using a complex function method in this paper, the complex form of J-integral of mixed mode crack tip for unidirectional plate of linear-elastic orthotropic composites is obtained first by substituting crack tip stresses and displacements into general formula o f Jintegral. And then, the path-independence of this J-integral is proved. Finally, the computing formula of this J-integral is derived. As special examples, the complex forms, path-independence and computing formulae o f J-integrals of mode I and mode H crack tipsfor unidirectional plate of linear-elastic orthotropic composites are given.
In this paper, the fracture problem in non-principal directions .of elasticity for a simple layer plate of linear-elastic orthotropic composite materials is studied. The formulae of transformation between characteristic roots, coefficients of elastic compliances in non-principal directions of elasticity and corresponding parameters in principal directions of elasticity are derived. Then, the computing formulae of strain energy release rate under skew-symmetric loading in terms of engineering parameters for principal directions of elasticity are obtained by substituting crack-tip stresses and displacements into the basic formula of the strain energy release rate.
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