Titlebook: Advances in the Base Force Element Method; Yijiang Peng,Yinghua Liu Book 2019 Springer Nature Singapore Pte Ltd. 2019 Complementary Energy

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Base Force Element Method for Concave Polygonal Mesh,licit expression of two-dimensional element compliance matrix on the complementary energy principle with concave polygonal meshes. The detailed 2D formulations of governing equations for the new finite element method—the base force element method (BFEM) are written in terms of the base forces concep

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2D Base Force Element Method for Geometrically Nonlinear Problems, two-dimensional geometrically nonlinear problems is presented. A 4-mid-node plane element model of the BFEM for the geometrically nonlinear problem is derived by assuming that the stress is uniformly distributed on each side of a plane element. The explicit formulations of the control equations for

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BFEM on Concave Polygonal Mesh for Geometrically Nonlinear Problems,o-dimensional geometrically nonlinear problems. A number of highly geometrically nonlinear problems are solved using the BFEM with concave polygonal meshes. The results of BFEM are compared with the traditional 4-node quadrilateral isoparametric element (Q4 model) and 4-node quadrilateral reduced in

Initiative

Base Force Element Method for Nonlinear Problems of Materials,s chapter, the elastic–plastic compliance matrix of an element expressed by the base forces is derived from the material nonlinear model. The equilibrium conditions are released by the Lagrange multiplier method, and a modified elastic–plastic complementary energy principle described by the base for

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3D Base Force Element Method for Linear Elastic Problems,which is a new finite element method (FEM) on the complementary energy principle was presented. The stress interpolation function is not used in the derivation of the element model. In this chapter, we only study the spatial hexahedron element. In order to verify the correctness of the hexahedron el