有激发和衰减的有限长裂缝Ⅱ型破裂过程研究

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Analytic Solutions for a Finite Crack Rupturing with Type-Ⅱ at One Tip with Exciting and Decaying Processes

摘要: 本文考虑在Rayleigh阻尼作用时,沿裂缝长的边界上有剪应力作用,使裂缝一端失稳而产生快速扩展(即Ⅱ型破裂)问题.应用奇异摄动理论^[1]及广义富氏级数,给出这个非线性断裂动力学问题的逐次逼近解.较之已有成果,本文考虑了非线性阻尼并给出各级近似解的显式.

Abstract: Under the action of Kayleigh damping, when the shear stress exerts at the boundary of the crack and causes one tip of the crack rupturing with varying velocity. By singular perturbation method, we reduce the governing non-linear partial differential equations into a system of linear ones and solve them by using generalized Fourier series.

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