Static Infinite Element Formulation
Static Infinite Element Formulation
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静态无限元公式
DOI：
10.1061/(asce)0733-9445(1985)111:11(2355
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发表时间：
1985
期刊：
影响因子：
--
通讯作者：
Prabhat Kumar
中科院分区：
文献类型：
--
作者：
Prabhat Kumar
在工程和科学的一些问题中，分析领域在一个或多个方向上延伸到很远的距离。采用有限元和无限元相结合的方法将分析域离散化，可以有效地分析这类问题。现有的表示无限元的方法还没有得到充分的利用。在本研究中，这些公式被用来推导一些具有各种衰变形式的高级无限元。通过求解轴对称和平面应变形式下的弹性半空间问题，验证了这些单元和一般公式的实现。并将该方法应用于水平拉应力场下的地下浅孔问题。数值计算结果与分析结果吻合较好。这些无穷元克服了参数化表述和数值积分的困难，但适用于…
In several problems of engineering and sciences, the domain of analysis extends to large distances in one or more directions. Such problems can be analyzed efficiently by the method of finite elements by using a combination of finite and infinite elements to discretize the domain of analysis. The existing approaches to formulating infinite elements have not been exploited to their full extent. In this research, these formulations are used to derive some advanced infinite elements with various forms of decay. The implementation of these elements and general formulation are verified by solving an elastic halfspace problem in axisymmetric as well as in plane strain formulations. Also, this method has been applied to the problem of a shallow underground opening in horizontal tensile stress field. The numerical and analytical results are found to be in satisfactory agreement. These infinite elements overcome the difficulties of parametric formulation and numerical integration, but are suitable for the problems...