Some remarks on elastic crack-tip stress fields
Some remarks on elastic crack-tip stress fields
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DOI：
10.1016/0020-7683(72)90040-6
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发表时间：
1972-06
影响因子：
3.6
通讯作者：
J. Rice
中科院分区：
文献类型：
--
作者：
J. Rice
结果表明，如果平面应变中线弹性体上任意对称载荷系统的位移场和应力强度因子是裂纹长度的函数，则可以直接确定同一物体上任意其他对称载荷系统的应力强度因子。这一结果与Bueckner[1]的“权函数”密切相关，通过该函数，应力强度因子被表示为作用力与其应用点的权函数的值之间的类功乘积之和。给出了该方法的一个例子，其中利用远距离均匀应力场中裂纹的解来生成裂纹面上任意牵引力分布引起的应力强度因子的表达式。对于三维裂纹问题，在附录中发展了相应的理论，尽管这似乎主要对存在轴对称的问题直接有用。
It is shown that if the displacement field and stress intensity factor are known as functions of crack length for any symmetrical load system acting on a linear elastic body in plane strain, then the stress intensity factor for any other symmetrical load system whatsoever on the same body may be directly determined. The result is closely related to Bueckner's [1] “weight function”, through which the stress intensity factor is expressed as a sum of work-like products between applied forces and values of the weight function at their points of application. An example of the method is given wherein the solution for a crack in a remotely uniform stress field is used to generate the expression for the stress intensity factor due to an arbitrary traction distribution on the faces of a crack. A corresponding theory is developed in an appendix for three-dimensional crack problems, although this appears to be directly useful chiefly for problems in which there is axial symmetry.