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线夹杂的力学模型及其界面应力分析

The Mechanical Model of a Linear Inclusion and Analysis of Interface Stresses
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摘要 采用材料力学的直杆和梁的变形假定,对平面线夹杂问题提出了一种能同时考虑夹杂两侧法向应力和剪应力间断的新的力学模型,然后通过集中力作用的Kelvin解答,求得了单夹杂问题的基本解。文中还导出了夹杂两侧的界面应力公式。最后对夹杂端点的应力强度因子及界面应力作了计算。 By using the hypothesis of the deformation of the straight bar and beam in mechanics of materials and taking account of the discontinuities of the normal stress and the shearing stress on the sides of the inclusion, a new mechanical model for a linear inclusion is presented. Then the fundamental solution of a single inclusion is obtained by the help of the Kelvin solution of concentrate force or the method of complex potentials. After that the problem is reduced to solve a set of uncoupled singular integral equations, which can be solved numerically. Next, the expressions of the interface stress on the sides of the inclusion are also derived here. At the end of this paper, the stress intensity factors at the inclusion tips and the interface stresses are calculated and the numerical results are satisfactory.
作者 沃国纬
机构地区 上海交通大学
出处 《应用力学学报》 CAS CSCD 北大核心 1997年第1期17-23,共7页 Chinese Journal of Applied Mechanics
基金 国家自然科学基金
关键词 线夹杂 应力强度因子 界面应力 断裂力学 linear inclusion, stress intensity factor, interface stress.
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参考文献5

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