双周期裂纹场平面弹性焊接的数学问题

李星

双周期裂纹场平面弹性焊接的数学问题

李星

宁夏大学银川

基金项目: 国家自然科学基金资助课题

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出版历程
- 收稿日期: 1992-07-24
- 刊出日期: 1993-12-15

On the Mathematical Problems of Composite Materials with a Doubly Periodic Set of Cracks

Li Xing

Ningxia University, Yinchuan

摘要

摘要: 本文讨论双周期胞腔中含任意形状裂纹的不同材料的弹性平面焊接(焊线为任意形状的封闭光滑曲线)的第二基本问题.运用Мусхелишвили复变函数方法,对这类弹性平面问题建立起了数学模型,将求解弹性平衡问题化归为寻求复应力函数满足一定边界条件的边值问题,然后构造其解的形式,再将其转化为正则型的奇异积分方程,数学上严格证明其解的存在与唯一.
- 双周期 /
- 裂纹 /
- 焊接
Abstract: In this paper, the mathematical problem of the second fundamental problem of composite materials with a doubly periodic set of arbitrary shape cracks are investigated, and the interface are arbitrary smooth closed contours. At first, we establish mathematical models by using Muskhelisvili complex variable methods, change the primitive problems into searching complex stress functions which satisfy four boundary value problems and construct forms of the solution, then, under some general restrictions it is reduced to normal type singular integral equation, the unique solvability is proved mathematically.
- double period /
- crack /
- welding

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参考文献(16)

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