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Interaction Problems on Soil and Structures using BE/FE Hibrid Techniques

使用 BE/FE 混合技术解决土壤和结构的相互作用问题

基本信息

批准号：
60550319
负责人：
MITSUI Yasushi
金额：
$ 1.22万
依托单位：
Shinshu University
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1985
资助国家：
日本
起止时间：
1985 至 1986
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-60550319/
关键词：
boundary element finite element coupling procedure elastic continuum;soil freezing heat conduction LNG LPG tank joint element superposition method LPG 凍結応力再配分問題

项目摘要

The coupling procedure,using finite and boundary elements,is proposed numerically to analize interaction problems on soil and structures. Various problems, such as footings on layers, slope problems with fractured masses, steady state heat conduction problems and unsteady state heat ones are calculated by this proposed scheme. Results are summarised as follows:(1)This procedure is efficiently applicable to complicated boundaries, namely, rather complicated boundaries are discretized by finite elements and simpler ones are done by boundary elements. Then, not only input data but also computer resources are reduced.(2) If a material body consists of subdomains whose material constants are different, joint elements are introduced connecting the subdomains. Then slipping phenomena between subdomains can be treated. If several subdomains are entirely connected without slip, we may choose spring constants of the joint elements approximately as <K_s> =100G and <K_n> =100E.(3) The equivalent FE scheme is much easier to program in a computer code. However, this scheme needs to invert coefficient matrix G. Then, the BE region should be divided into several subdomains in order to reduce the size of G. In this divided procedure, the joint elements mentioned above can also be introduced.(4) For the non-linear stress transfer analysis, the region where failure is supposed is discretized by finite elements, and others by boundary elements. This is one of the most realistic discretization schemes for the infinite problem. In this research the other hibrid technique is developed using SUP method and BE method. It is concluded that the proposed coupling procedure is very efficient to analyze various infinite problems.

本文提出了一种用有限元和边界元耦合的方法来数值分析土与结构的相互作用问题。用该格式计算了层状地基问题、裂隙体边坡问题、稳态热传导问题和非稳态热传导问题。结果表明：（1）该方法适用于复杂边界，即较复杂的边界用有限元离散，较简单的边界用边界元离散。这样，不仅减少了输入数据，而且减少了计算机资源。(2)如果一个材料体由材料常数不同的子域组成，则引入连接子域的连接单元。这样就可以处理子域间的滑移现象。如果几个子域完全连接而无滑移，我们可以选择近似为<K_s>= 100 G和<K_n>= 100 E的节点单元的弹簧常数。(3)等价的有限元格式更容易用计算机代码编程。然而，该方案需要对系数矩阵G求逆。然后将BE区域划分为若干子域，以减小G的规模。在这个划分过程中，也可以引入上述的节点元素。(4)对于非线性应力传递分析，假定失效的区域用有限元离散，其它区域用边界元离散。这是一个最现实的离散计划的无限问题。本研究还采用双杂交法和BE法建立了另一种杂交技术。结果表明，所提出的耦合过程是非常有效的分析各种无限的问题。