冲压下横向各向同性带材中移动格里菲斯裂纹的应力强度因子分析

IF 1.827 Q2 Earth and Planetary Sciences Arabian Journal of Geosciences Pub Date : 2024-10-22 DOI:10.1007/s12517-024-12098-w
Ajeet Kumar Singh, Abhishek Kumar Singh, Ram Prasad Yadav, Sayantan Guha
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引用次数: 0

摘要

本研究致力于分析在有限厚且无限延伸的横向各向同性条带内的格里菲斯裂纹转移。该带状结构以两个平行冲头为边界,冲头通过 Dirac delta 函数施加恒定的载荷分布,而 Dirac delta 函数是机械点加载导致平面波传播的结果。此外,所建立的模型采用了耦合奇异积分方程和 Cauchy 型奇异点。该模型用于分析前进裂纹尖端的点载荷,同时利用希尔伯特变换特性,以封闭的分析形式推导出恒定点载荷下的应力强度因子(SIF)。研究结合了数值计算和图形表示,以仔细研究各种参数(包括裂纹长度和速度、冲压力和点荷载的不同位置)对 SIF 的影响。这些分析是针对横向各向同性和各向同性材料带进行的。
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Analysis of stress intensity factor for moving Griffith crack in a transversely isotropic strip under punch pressure

The present study is dedicated to analyzing Griffith crack transference within finitely thick and infinitely extending transversely isotropic strip. This strip is bounded by two parallel punches exerting a constant load distribution through Dirac delta functions, which are a consequence of plane waves propagating due to mechanical point loading. Moreover, the developed model employs coupled singular integral equations and Cauchy-type singularities. It is utilized to analyze the point load at the advancing crack tip, while leveraging Hilbert transformation properties to derive the stress intensity factor (SIF) under constant point loading in a closed analytical form. The investigation incorporates numerical computations and graphical representations to scrutinize the impact of various parameters, including crack length and speed, punch pressure, and different positions of the point load, on the SIF. These analyses are conducted for both transversely isotropic and isotropic material strips.

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来源期刊
Arabian Journal of Geosciences
Arabian Journal of Geosciences GEOSCIENCES, MULTIDISCIPLINARY-
自引率
0.00%
发文量
1587
审稿时长
6.7 months
期刊介绍: The Arabian Journal of Geosciences is the official journal of the Saudi Society for Geosciences and publishes peer-reviewed original and review articles on the entire range of Earth Science themes, focused on, but not limited to, those that have regional significance to the Middle East and the Euro-Mediterranean Zone. Key topics therefore include; geology, hydrogeology, earth system science, petroleum sciences, geophysics, seismology and crustal structures, tectonics, sedimentology, palaeontology, metamorphic and igneous petrology, natural hazards, environmental sciences and sustainable development, geoarchaeology, geomorphology, paleo-environment studies, oceanography, atmospheric sciences, GIS and remote sensing, geodesy, mineralogy, volcanology, geochemistry and metallogenesis.
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