理想弹塑性材料Ⅲ型裂纹尖端温度场的渐近分析

Asymptotic Analysis of Temperature Field at Mode Ⅲ Crack Tip in A Elasticperfectly Plastic Material

本文在热力学理论框架下,对理想弹塑性材料Ⅲ型裂纹尖端温度场进行了渐近求解。结果表明,取一级渐近近似时,等温线是以裂纹尖端为圆心的圆;取二级以上渐近近似时,温度场梯度具有lnr的奇异性。

In this paper. the temperature field die to the plastic dissipation at the Mode Ⅱ crack tip is studied within the framework of thermoelastic theory. The asymptotic expansion of the temperature in a elast ic-perfectly plastic material is derived. It is found that by taking the first term of the expansion. the isotherms are circles with the centre of the crack tip. However. the temperature gradient has inr singularity.