各向异性和正交异性双材料界面裂纹尖端应力

Interface Crack Tip Stress Field of Anisotropic and Orthotropic Bimaterial

对各向异性和正交异性双材料Ⅰ型界面裂纹尖端应力场中的A类情形进行了讨论,给出相应的力学模型与应力函数,求得了A类情形下各向异性和正交异性双材料Ⅰ型界面裂纹尖端应力场。作为检验,当x轴与各向异性材料纤维方向之间的夹角φ=0时,各向异性材料转变为正交异性材料,代入所得的应力场和位移场,得出的验证结果与参考文献一致。

The A-type case of interface crack problems of anisotropic and orthotropic bimatefial are discussed, and the mechanical model and stress function are presented. The corresponding I-type interface crack tip stress field and displacement field have been obtained. As a test, when the included angle φ of anisotropic material parameters is zero, the anisotropic material will be transformed into orthotropic material. With substitution of the stress field and the displacement field, the validation results are consistent with the references.