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界面微裂纹屏蔽J_k矢量投影守恒

THE PROJECTED CONSERVATION THEORY OF THE J k VECTOR FOR MICROCRACK INTERFACE CRACK SHIELDING

  • 摘要: 用理论推导和电算实践证明,尽管两相材料界面裂纹J积分的显函数表达式与均质材料中不同,尽管界面裂纹尖端固有的1/2+iε振荡奇异性和张开滑移型固有的耦合造成近尖区应力场分布的复杂性,但作者在均质材料微裂纹屏蔽问题中发现的J积分再分配关系Jk矢量投影守恒定理在两相材料界面微裂纹屏蔽问题中仍然成立.这再次说明,远场J积分向界面裂纹尖端传递过程中跨越微裂纹群是有损失的.这个损失可用Jk矢量在界面裂纹延线坐标轴上的投影来定量地评估

     

    Abstract: It is proved from analytical treatments and computer experiments that the projected conservation relation of the J k vector, found for microcrack shielding problems in brittle homogeneous cases, is also valid for the shielding problems in bimaterial solids, although the characteristic oscillating stress singularity exists near the tip for an interface crack and the tension and shear modes are inherently coupled near the tip. As the relation is shown to be universal, it could be called as the projected c...

     

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