双材料界面裂纹的弹塑性问题

Elastoplastic problem of interfacial crack on bi-material

研究Ⅰ型弹塑性界面裂纹问题。用傅里叶正、余弦变换及逐段定积分变换方法将边值问题的方程化为奇异积分方程组。解方程后计算了裂纹尖端塑性区尺寸及裂纹尖端张开位移COD ,给出了应变能释放率算式。结果表明 ,裂纹尖端塑性区尺寸和COD均仅与两种材料的较小屈服极限有关 ,较小屈服极限越大 ,则裂纹尖端塑性区尺寸和COD越小。

The problem of elastoplastic interfacial fracture is investigated. Fourier cosine, Fourier sine transformation and definite integral transformation simplify the equations of the boundary problem into a group of singular equations. The solutions are used to formulate the plastic zone length of the crack tip and COD and get the releasing ratio of strain energy. The results reveal that the plastic zone length of the crack tip and COD are dependent on the smaller yielding limit of the two bonded materials.