Approximate Solutions for KI and COD in CCT and CT Specimens Subjected to Closure Obstruction on the Crack Surface

H. Jung
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Abstract

Approximate analytical solutions for stress intensity factors (SIF) and crack surface opening displacements (COD) for a crack in CT and CCT specimens subjected to crack face forces have been obtained. These solutions account for the finite dimension of the specimens. The analytical geometric constant, which was derived by using existing analytical expressions, is checked by the finite element method. Both results appeared to be in good agreement within 5%. The results for geometric constant including a crack length and locations of internal stresses show that there are severe differences in solutions between for an infinite medium and for a finite size of specimens. Therefore, it is concluded that the effect of finite dimension on solutions such as SIF or COD must be considered in problems having internal stresses on the crack surfaces.
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裂纹表面闭合阻塞条件下CCT和CT试件KI和COD的近似解
得到了CT和CCT试样在裂纹面力作用下的应力强度因子(SIF)和裂纹面张开位移(COD)的近似解析解。这些解解释了试样的有限尺寸。利用已有的解析表达式推导出解析几何常数,并用有限元法对其进行了校核。这两个结果似乎在5%以内一致。包括裂纹长度和内应力位置在内的几何常数的计算结果表明,无限介质和有限尺寸试样的解存在严重差异。因此,在裂纹表面具有内应力的问题中,必须考虑有限尺寸对SIF或COD等解的影响。
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