线性强化弹塑性裂纹尖端韧带线场  

LIGAMENT FIELDS AHEAD OF A CRACK TIP UNDER PIECE-WISE ELASTIC-PLASTIC MODEL

作　　者：田常录[1] 郑长卿[2] 文健[1] 

机构地区：[1]内蒙古工业大学力学教研室,呼和浩特010062 [2]西北工业大学工程力学系,西安710072

出　　处：《机械强度》2002年第3期446-449,462,共5页Journal of Mechanical Strength

基　　金：内蒙古自治区自然科学基金 (961 0E1 8)的资助~~

摘　　要：计及弹性应变 ,引入一代表裂尖区各点弹性变形、塑性变形比例的参量νep,得到平面应变下Ⅰ型裂纹的线性强化弹塑性韧带近似解 ,并导出其应力、应变以及能量密度的表达式。νep作为约束参数进入弹塑性裂纹尖端场 ,其值的变化可引起裂尖能量密度场的明显变化。A constraint variable of ν ep that represents the ratio of elastic to plastic deformation is introduced. An approximate ligament field of mode Ⅰ plane-strain crack problems under Piece-wise elastic-plastic model is obtained. The investigation emphasis on energy densities other than stresses. It is concluded that elastic energy is still important in elastic-plastic fracture process. There is a non-uniform distribution of the energy density around a crack tip. The decreasing of constraint variable ν ep leads the near tip pattern of energy distributions gradually become uniform and so leads high critical values of J integral.

关 键 词：线性强化弹塑性 韧带线场 裂尖约束 能量密度 

分 类 号：O346.1[理学—固体力学]