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Study of collinear cracks in a composite medium subjected to time-harmonic wave disturbance
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-02-17 , DOI: 10.1002/zamm.202000307 Neha Trivedi 1 , Subir Das 1 , Holm Altenbach 2
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-02-17 , DOI: 10.1002/zamm.202000307 Neha Trivedi 1 , Subir Das 1 , Holm Altenbach 2
Affiliation
The article deals with the collinear Griffith cracks under the time-harmonic waves, situated in an orthotropic strip sandwiched between two identical half-planes. The outer cracks are considered to be situated on either sides of the central crack. The mathematical model is solved by applying the Fourier transform and then the unknown functions have been determined using Schmidt method. The approximate analytical expressions of the stress intensity factors (SIFs) have been obtained at the tips of the cracks. The values of the SIFs for the considered composite with Graphite epoxy material as the strip and E-glass epoxy as the half-plane are computed numerically for different crack lengths and wave numbers, and the obtained results are displayed graphically. The salient feature of the article is the pictorial presentations of the possibilities of arrest of the central crack due to the presence of outer cracks through finding the stress magnification factor for different particular cases.
中文翻译:
时谐波干扰下复合介质共线裂纹的研究
该文章涉及时谐波下的共线格里菲斯裂纹,位于夹在两个相同半平面之间的正交各向异性带中。外裂纹被认为位于中心裂纹的两侧。通过应用傅里叶变换求解数学模型,然后使用施密特方法确定未知函数。得到了裂纹尖端应力强度因子(SIF)的近似解析表达式。对于不同的裂纹长度和波数,对所考虑的以石墨环氧树脂材料作为条带和 E 玻璃环氧树脂作为半平面的复合材料的 SIF 值进行了数值计算,并以图形方式显示了所获得的结果。
更新日期:2021-02-17
中文翻译:
时谐波干扰下复合介质共线裂纹的研究
该文章涉及时谐波下的共线格里菲斯裂纹,位于夹在两个相同半平面之间的正交各向异性带中。外裂纹被认为位于中心裂纹的两侧。通过应用傅里叶变换求解数学模型,然后使用施密特方法确定未知函数。得到了裂纹尖端应力强度因子(SIF)的近似解析表达式。对于不同的裂纹长度和波数,对所考虑的以石墨环氧树脂材料作为条带和 E 玻璃环氧树脂作为半平面的复合材料的 SIF 值进行了数值计算,并以图形方式显示了所获得的结果。