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本文首先探讨了复合材料层板层间应力的问题提法,指出了轻典层板理论与层间应力的层板理论的关系;然后本文给出求解层间应力的方法,将每层的面内应力沿厚度方向以完备函数族进行单向展开,沿宽度方向设其为任意函数,利用平衡方程和余能原理可得任意函数所满足Euler方程,通过求解该方程得到层间应力。本文最后还给出了解决奇异性的方法。计算结果表明,应力分布与奇异项系数的收敛都是迅速的。
In this paper, firstly, the formulation of the problem of interlaminar stress in composite laminates is discussed, and the relationship between the principle of laminar plates and the theory of interlaminar stresses is pointed out. Then, a method for solving interlaminar stresses is given. The internal stress is unidirectionally expanded along the thickness by a complete family of functions and set as an arbitrary function in the width direction. The Euler equation satisfied by any function can be obtained by using the equilibrium equation and the residual energy principle, and the interlayer stress can be obtained by solving this equation. Finally, this article also gives a way to solve the singularity. The calculation results show that the convergence of stress distribution and singular term coefficients are rapid.