Finite element formulation for finite deformation problem based on complementary energy principle - 文章详情页

作者：

Peng, Yi-Jiang (Peng, Yi-Jiang.) (学者：彭一江) | Liu, Ying-Hua (Liu, Ying-Hua.)

收录：

EI Scopus PKU CSCD

摘要：

Using　the　concept　of　base　forces,　an　explicit　finite　element　formulation　for　the　finite　deformation　is　presented　based　on　complementary　energy　principle,　which　can　be　used　for　large　displacements　and　large　rotations　problem　of　structures.　The　complementary　energy　of　an　element　is　described　by　taking　the　base　forces　as　state　variables,　and　the　complementary　energy　in　large　deformation　case　contains　deformation　part　and　rotation　part.　The　control　equations　of　finite　element　method　of　complementary　energy　principle　are　derived　using　Lagrange　multiplier　method.　A　nonlinear　finite　element　procedure　is　developed.　Several　examples　are　analyzed　to　illustrate　the　reliability　and　accuracy　of　the　formulation　and　the　procedure.

关键词：

Deformation Finite element method Lagrange multipliers

作者机构：

[ 1 ] [Peng, Yi-Jiang]FML, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
[ 2 ] [Peng, Yi-Jiang]Key Lab. of Urban Security and Disaster Engineering, Beijing University of Technology, Beijing 100124, China
[ 3 ] [Liu, Ying-Hua]FML, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China