摘要
本文从推广的Betti功互换定理出发,对弹塑性静动力学和力学的问题建立起一种新的边界积分求解格式——边界区域单元法。这种方法可以方便地把求解弹性塑静、动力学等问题编成统一的电算程序。它与边界单元法比较,对动力问题,不必进行拉氏或富氏数值交换;对弹塑性问题,可避免在增量段中进行迭代计算。
Starting from extended Betti's reciprocal theorem of work, this paper sets up a new format of boundary integration-boundary region element method for elasteplastic statics and dynamics. It is demostrated theoretically that an unitied computer programming can be worked out convently by this new method. As co- mpared with the existing boundary element method, this nely method requires no Laplace or Fourier transform for dynamic problems and averts iterative compu- tation in increment section for elastoplastic problems.
出处
《华侨大学学报（自然科学版）》
CAS
1989年第3期286-294,共9页
Journal of Huaqiao University(Natural Science)
关键词
弹性动力学
边界区域
单元法
elactodynamics
theory of plactic flow
boundary region element method
Betti's reciprocal theorm
