Deterministic Multiscale Method for Heterogeneous Composite Material
Pei Shiyua · Xi'an Jiaotong Daxue xuebao · 2015
For the strength analysis of heterogeneous materials in elasticity,a deterministic multiscale calculation method,finite cell method(FCM),is presented.The condensation and interpolation technique are adopted to obtain the coarse element stiffness matrix,then the original problem can be solved in coarse-scale,and the fine-scale solution can be sought out by back substitution.The comparison with analytic method and finite element method(FEM)on several numerical examples indicates that FCM enables to significantly expand computational scale and greatly improve computing rate.In FCM,the artificial boundary conditions are unnecessary for constructing macroscopic meshes,and the downscaled computing can be easily performed.FCM is also feasible for non-linear multiscale structure analysis,thermal analysis and porous flow analysis.