摘要
本文通过引入小范围非局部假设,将求解刚性线型夹杂顶端渐近应力变形场的问题化成了一个位移边值问题,从而直接利用经典的位移场得到了非局部的位移场.通过非局部本构关系获得了刚性线型夹杂顶端的有界的渐近应力场.利用最大剪应力准则给出了夹杂面上材料发生脱离的临界条件.结果表明材料的破坏仍由经典的应力强度因子及 J 积分控制.
By introducing the small scale nonlocal assumptions,the displacement boundary value problms are formulated for determining the nonlocal stress and deformation fields near the ends of ribbon-like rigid inclusions.In this case,the nonlocal displacements near the ends of the inclusions are the same as those of classical continuous models,and the near-field solutions of stress are obtained by substi- tuting the displacements into the nonlocal constitutive relations.The critical conditions for the debonding of materials at the inclusion faces are given by using the criterion of maximum shear stress.It is shown that the failure of materials is still determined by the stress intensity factor in the elastic case and by the J-integral in the elastic-plastic case.
出处
《北方交通大学学报》
CSCD
北大核心
1990年第2期56-63,共8页
Journal of Northern Jiaotong University
关键词
刚性夹杂
非局部应力应
破坏
rigid inclusion
nonlocal stress field
maximum shear stress theory
stress intensity factor
J-integral
