三维无界元和节理无界元

本文给出三维十二结点无界元和十结点节理无界元模型及其整套算式,并结合算例,讨论了在这种单元应用中的有关问题,例如衰减函数、衰减中心等等。 在无限域或半无限域岩土工程问题的有限元分析中,纳入无界元、节理无界元这类特殊单元,只要截取有限,甚至很小的计算范围,就能满足计算精度要求和符合无穷远处位移为零的边界条件。因此,这就为岩土工程通常的有限元分析中“计算范围、边界条件不易确定”的困难提供了一种有效的解决手段,而且它在提高计算精度和经济效益方而均有明显的优越性。

Three-dimensional Infinite Domain Elements and Joint Infinite Domain Elements

&;lt;abstract&;gt;    A model consisting of 12-node infinite domain elements and 10-node infinitedomain elements and the complete set of formulaeare presented In this paper for three-dimensional problemes。 On the basis of the calculation examples the problemsassociated with the application of elements of this sort are discussed, Such as the decayfunction and the decay center and so on。    The introduction of these special elements into the infinite or semi-infinite domainFE analysis of the geomechanlcal engineering problems leads to a satisfactory calcu-lation accuracy and the fulfilment of the boundary conditions of zero displacement atinfinity, with only a limited or even a small calculation region being taken intoconsideration, Thus it comes as an effective approach to determination of the calcu-lation region and boundary conditions, and has the apparent advantage in the calcu-lation accuracy, economy and effectiveness.