基于各向异性弹性力学的Stroh理论和Tsai-Hill非各向同性强度理论,预测非各向同性材料单一型和混合型裂纹裂尖塑性区的形状与大小,研究横向剪切强度以及材料主方向与裂纹坐标方向夹角θ等参数对裂尖塑性区的影响。研究发现,当材料反平面剪切强度相对面内强度较小时,反平面剪切应力对裂尖塑性区形状、尺寸的影响显著;反之则较小。偏角θ也会明显影响裂尖塑性区的尺寸和形状。
Based on the anisotropic elasticity theory of Stroh and Tsai-Hill' s anisotropic yield criterion, the crack tip plastic zone of anisotropic material has been predicted. The effects, such as anti-plane shear strength and the angle θ between the material principal direction and crack frontier line, on the crack tip plastic zone have been investigated. The results demonstrate that the smaller the ratio of anti-plane shear strength of material to in-plane strength is, the more remarkably anti-plane stress components affect on plastic zone. The shape and size of plastic zone are also influenced by the offset angle θ.