沈辉, 周储伟. 奇异薄层单元及其在双材料界面断裂分析中的应用[J]. 工程力学, 2012, 29(10): 69-74. DOI: 10.6052/j.issn.1000-4750.2011.02.0096
引用本文: 沈辉, 周储伟. 奇异薄层单元及其在双材料界面断裂分析中的应用[J]. 工程力学, 2012, 29(10): 69-74. DOI: 10.6052/j.issn.1000-4750.2011.02.0096
SHEN Hui, ZHOU Chu-wei. SINGULAR THIN-LAYER ELEMENT AND ITS APPLICATION IN BI-MATERIAL INTERFACE FRACTURE ANALYSIS[J]. Engineering Mechanics, 2012, 29(10): 69-74. DOI: 10.6052/j.issn.1000-4750.2011.02.0096
Citation: SHEN Hui, ZHOU Chu-wei. SINGULAR THIN-LAYER ELEMENT AND ITS APPLICATION IN BI-MATERIAL INTERFACE FRACTURE ANALYSIS[J]. Engineering Mechanics, 2012, 29(10): 69-74. DOI: 10.6052/j.issn.1000-4750.2011.02.0096

奇异薄层单元及其在双材料界面断裂分析中的应用

SINGULAR THIN-LAYER ELEMENT AND ITS APPLICATION IN BI-MATERIAL INTERFACE FRACTURE ANALYSIS

  • 摘要: 构造了一种平面应力奇异薄层单元并证明了其具有-1/2阶奇异性。用此单元研究了双材料界面层的刚度对界面裂纹尖端场的影响。研究发现:对于I 型界面断裂, 减小界面法向刚度对KK的影响远大于减小界面切向刚度, 且法向和切向刚度的减小对K的影响均大于对K的影响, 降低法向刚度会显著改变裂尖正应力和剪应力的分布, 而降低切向刚度只明显改变剪应力的分布, 对正应力的分布影响不大;对于界面II 型断裂, 则减小切向刚度对KK的影响远大于减小法向刚度, 且切向、法向刚度的减小对K影响均大于对K影响, 降低切向刚度会显著改变裂尖正应力和剪应力的分布, 而降低法向刚度只明显改变裂尖正应力的分布, 对剪应力的分布影响不大。随着界面刚度增大, 应力强度因子和裂尖应力分布均趋近无厚度理想界面情况。

     

    Abstract: A stress singular thin-layer element was developed and its -1/2 singularity was proved. Then the element was adopted to study the effects of interface stiffness on the crack tip field of a bi-material interface crack. The results demonstrate that for mode I interface fracture, the decreasing of normal interface stiffness will introduce more significant variations of stress intensity factors K and K than the decreasing of shear interface stiffness. It also causes notable changes of both normal and shear stress components at a crack tip. However, decreasing shear stiffness only affects the shear stress component notably. In this fracture model, effects of reducing either normal or shear stiffness on K are more marked than on K. On the contrary, for model II interface fracture, shear stiffness becomes the dominator on the two stress intensity factors and both normal and shear stress components vary greatly with its decreasing. Reducing normal interface stiffness just remarkably affects normal stress component other than all the stress components. In this case, K is more sensitive to the two interface stiffness parameters than K. For any fracture model, stress intensity factors and stress concentrations at a crack tip approach to those of no thickness perfect interface when interface stiffness of bi-material increase.

     

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