剪切破坏带的力学反演理论初探
首发时间:2014-12-18
摘要:在剪切破坏带邻近,针对大尺度上的几乎没有变形和微尺度上的复杂大变形,在晶线(物质线)长度为不变量的条件下,用理性力学理论,本文研究了:1)断裂滑移区的应变(晶线为直线,端点出现沿断裂面的滑移);2)塑性剪切区的应变(晶线弯曲,端点在断裂面出现走向转折);3)相应的应力场;4)宏观几何平衡方程(剖面面积不变方程和微元体体积不变方程);5)全局宏观应力平衡方程。从而,得到了用求解积分方程来反演或正演断裂扩张的基本理论。
关键词: 疲劳断裂;断裂滑移;塑性剪切;应力平衡方程;理性力学
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Theoretic Study on the Mechanics Inverse Investigation of Shear Fracture
Abstract:Near the shear fracture zone, contrast to nearly no significant macro large scale deformation, the micro scale deformation are significant and complicated. Under the condition that the crystal line (material line) length is invariant, the rational mechanics theory is used to study: 1) strain in fractured region (straight crystal line, vortex appears sliding along fracture surface); 2) strain in shear plastic region (crystal line bending, vortex turns on fracture surface ); 3)the corresponding stress field; 4)macro balance equations (section area balance equation and element volume invariance equation); 5) global scale stress balance equation. Based on them, the theoretic methods of mechanics inverse (or forwards) of shear fractures are obtained as solving integral equations.
Keywords: Fatigue fracture fracture sliding plastic shear stress balance equation rational mechanics
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