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An interactive method of interface boundary elements and partitioned finite elements for local continuous/discontinuous deformation problems
Author(s) -
Li Tongchun,
Liu Xiaoqing,
Zhao Lanhao
Publication year - 2014
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4762
Subject(s) - correctness , interface (matter) , discontinuous deformation analysis , displacement (psychology) , boundary (topology) , boundary value problem , body force , nonlinear system , computer science , rigid body , finite element method , matrix (chemical analysis) , deformation (meteorology) , structural engineering , mechanics , mathematics , geology , mathematical analysis , engineering , algorithm , materials science , physics , classical mechanics , psychotherapist , oceanography , maximum bubble pressure method , composite material , psychology , bubble , quantum mechanics
SUMMARY The interactive method of interface boundary elements (IBEs) and partitioned finite elements (PFEs) is proposed for solving such problems as local continuous/discontinuous deformation (i.e., landslide, concrete cracking, rock mass joints, and internal contraction joints) in concrete dams. The system is divided into continuous displacement bodies and continuous stress joints. The continuous displacement bodies are solved using PFE with the nodal displacements treated as variables, and the rigid displacements in each body and the constraining internal forces on the boundary interface are solved using IBE based on the continuous stress condition and the static force equilibrium condition in each body. Each IBE consists of all interface boundary nodes in a body, and the flexibility matrix is formed using PFE or theoretical analysis. Using this method, a nonlinear iteration procedure is carried out only on the possible discontinuous interface, an approach that greatly improves the computational efficiency. Three numerical examples are used to verify the correctness and validity of the proposed method. © 2014 The Authors. International Journal for Numerical Methods in Engineering published by John Wiley & Sons Ltd.