The aim of this paper is to provide a suitable formulation for obtaining an exact answer, for stress analysis of structure with linear elastic behavior. This structure is assumed to be continuous and has unique solution. All the required partial differential equations, namely the equilibrium and compatibility equations, are satisfied. Moreover, the boundary conditions are fulfilled during the solution process. A few available benchmark problems along with some proposal ones are solved analytically, as well as, numerically. Besides, the presented formulas are checked both mathematically and by using a computer program. It is concluded that authors’ scheme offers the advantage of generality and accuracies in comparison to the numerical techniques.

中文翻译：

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固体应力分析的分析方案

本文的目的是为具有线弹性行为的结构的应力分析提供一个合适的公式以获得准确的答案。该结构被假定为连续的且具有唯一解。满足所有需要的偏微分方程，即平衡方程和相容方程。此外，边界条件在求解过程中得到满足。一些可用的基准问题以及一些提议的问题都可以通过分析和数字方式解决。此外，所提出的公式在数学上和使用计算机程序都进行了检查。得出的结论是，与数值技术相比，作者的方案具有通用性和准确性的优势。