Development of a convenient and highly accurate system for stress analysis based on body force method

体积力法自1967年由作者之一提出以来，已在实践中提供了许多有用的、高精度的解。由于BFM是基于叠加原理的，因此很容易理解这种方法的基本概念，并引入了许多发明来获得单个问题的高精度解。因此，许多使用BFM的计算已经通过专门的程序来完成。然而，在近年来问题的多样化和复杂化的背景下，对通用分析程序的需求越来越大，因此，本文提出了基于边界元法的二维弹性问题通用分析理论，并给出了基于该理论的通用分析程序所得到的大量有用的数值结果。所有的数值结果都是在标准的个人计算机上得到的。

Body Force Method (BFM) has been furnished a lot of useful and highly accurate solutions in practice since its development in 1967 by one of authors. Because BFM is based on the principle of superposition, it is easy to understand the basic concept of this method and introduce many inventions for getting highly accurate solutions in individual problems.Accordingly, many calculations using BFM has been done by special programs for individual problems. However, under the background of diversification and compexity of problems in recent years, the demand of a general purpose analysis program has increased more and more.Therefore, in this paper, the versatile analysis theory for two-dimensional elastic problems based on BFM are presented, and a lot of useful numerical results obtained by using a versatile program based on the theory are shown. All the numerical results were obtained by a standard personal computer.