In this paper,we prove the independence of the path of the J-integrals near modelsⅡcrack tips in the plate of the orthotropic composite material,Then we derive thecomputing formulae of the J-integrals in the cases of A0 and△0 by using acomplex variable method and reducing J integrals to complex form.The J-integral computational formulae derived.this paper have certain referencevalue for the theoretical researches and the experimental verifit ations in the plane fracturefor composite material.
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