关于利用一种自变量变换求解幂硬化材料Ⅲ型裂纹问题的有效性的探讨
A Discussion about the Effectiveness on Using a Variate-Transformation to Find out Solutions of Mode Ⅲ Crack Problems in Power Hardening Media
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摘要: 利用物理平面与应变平面以及物理平面与应力平面的变换,可得到幂硬化材料Ⅲ型裂纹尖端附近渐近解的解析式.本文讨论了此变换的有效性.分析结果表明:除幂硬化材料的极限情况-理想塑性外,此变换有效.Abstract: By the use of the transformations of physical plane to strain plane and physical planeto stress plane,an analytic expression of the asymptotic solution near a mode Ⅲ Crack tipin a power hardening medium can be obtained.In this paper the effectiveness of the transformation is discussed.Analytical results show that the transformation is effectiveexcept for a special limit case of power hardening media-the ideal plastic materials.
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