An adaptive scaled boundary finite element method by subdividing subdomains for elastodynamic problems  

作　　者：ZHANG ZiHua 1,2,YANG ZhenJun 2,LIU GuoHua 1 & HU YunJin 1 1 College of Civil Engineering and Architecture,Zhejiang University,Hangzhou 310058,China 2 School of Engineering,University of Liverpool,L69 3GQ,UK 

出　　处：《Science China(Technological Sciences)》2011年第S1期101-110,共10页中国科学（技术科学英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.50579081);EPSRC UK(Grant No.EP/F00656X/1);the State Key Laboratory of Water Resources and Hydropower Engineering Science,Wuhan University,China through an open Research (Grant No.2010A004);Zhang's one-year research visit to the University of Liv-erpool was funded by China Scholarship Council

摘　　要：The scaled boundary finite element method(SBFEM) is a semi-analytical numerical method,which models an analysis domain by a small number of large-sized subdomains and discretises subdomain boundaries only.In a subdomain,all fields of state variables including displacement,stress,velocity and acceleration are semi-analytical,and the kinetic energy,strain energy and energy error are all integrated semi-analytically.These advantages are taken in this study to develop a posteriori h-hierarchical adaptive SBFEM for transient elastodynamic problems using a mesh refinement procedure which subdivides subdomains.Because only a small number of subdomains are subdivided,mesh refinement is very simple and efficient,and mesh mapping to transfer state variables from an old mesh to a new one is also very simple but accurate.Two 2D examples with stress wave propagation were modelled.The results show that the developed method is capable of capturing propagation of steep stress regions and calculating accurate dynamic responses,using only a fraction of degrees of freedom required by adaptive finite element method.The scaled boundary finite element method(SBFEM) is a semi-analytical numerical method,which models an analysis domain by a small number of large-sized subdomains and discretises subdomain boundaries only.In a subdomain,all fields of state variables including displacement,stress,velocity and acceleration are semi-analytical,and the kinetic energy,strain energy and energy error are all integrated semi-analytically.These advantages are taken in this study to develop a posteriori h-hierarchical adaptive SBFEM for transient elastodynamic problems using a mesh refinement procedure which subdivides subdomains.Because only a small number of subdomains are subdivided,mesh refinement is very simple and efficient,and mesh mapping to transfer state variables from an old mesh to a new one is also very simple but accurate.Two 2D examples with stress wave propagation were modelled.The results show that the developed method is capable of capturing propagation of steep stress regions and calculating accurate dynamic responses,using only a fraction of degrees of freedom required by adaptive finite element method.

关 键 词：scaled BOUNDARY finite element method SUBDIVISION of subdomains h-hierarchical adaptivity MESH mapping transient ELASTODYNAMICS 

分 类 号：O343[理学—固体力学] O241.82[理学—力学]