平面应变状态下不可压缩幂硬化蠕变材料中刚性片状夹杂的奇异场和局部解

本文采用Williams特征展开方法结合Lee伪应力函数方法得到了平面应变状态下不可压缩幂硬化蠕变材料中刚性片状夹杂物的奇异场和局部解.研究发现,夹杂物尖端的应力奇性为r~(-m/2),与幂硬化指数m有关;而应变奇性为r~(-1/2),与幂硬化指数无关.本文通过选择积分路径给出了近尖的局部解,并用显函数的形式给出了近尖应力和位移的角变化.

Local Solution of a Rigid Inclusion Layerin Plane Strain Incompressible Power-Law Creep Material

Theoretical analysis of stress and strain singularities at a half-infinite rigid layer tip is performed and the layer with infinite small thickness is buried in incompressible power-law creep material under plane strain condition. The analys is based on Lee' s application of complex variables and pseudo stress function to power-law creep material together with the Williams eigen-expansion methed. It is found that the stresses at the layer tip have r~(-m/2)singularity which is dependent on the power exponent, but the strains at the tip have r~(-1/2) singularity which is independent on the exponent. The angular variations of stresses and displacements are formulated and shown in figure and table.