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论文类型：期刊论文

发表时间：2017-01-15

发表刊物：COMPOSITE STRUCTURES

收录刊物：SCIE、EI

卷号：160

页面范围：335-348

ISSN号：0263-8223

关键字：Lattice truss material; Numerical interpolation function; Multiscale finite element method; Geometrical nonlinear analysis; Co-rotational formulation

摘要：In this work, an equivalent continuum multiscale formulation is presented for the geometrical nonlinear analysis of the structures with lattice truss materials. This formulation is established by combining the extended multiscale finite element method and the co-rotational approach. Firstly, the lattice truss unit cell is equivalent to a continuum coarse element by using a numerical constructed interpolation function in the local coordinate system. Then the tangent stiffness matrix of this coarse element is derived by employing the basic idea of the co-rotational approach in the global coordinate system. Thus, the global nonlinear equilibrium equations of the structure at the macroscopic level can be solved by using the general displacement control algorithm to capture the equilibrium path with multiple critical points. After performing all of the incremental steps and the iterative steps on the macroscopic scale, the microscopic information, such as the displacement, stress and strain, can be obtained easily by virtue of the afore-constructed numerical interpolation functions once again. In addition, several numerical examples are carried out to study the effects of the layout and size of unit cell, investigate the sensitivity of coarse-scale meshes and verify the validation and efficiency of the presented multiscale formulation. (C) 2016 Elsevier Ltd. All rights reserved.