基于改进PSO算法的非均匀材料区间均匀化分析

利用区间均匀化方法对有限弹性变形下的非均匀材料进行了研究，引入多尺度有限元机制，将非均匀材料等效为某个非局部的代表性体积单元（RVE）。采用基于多尺度有限元与改进的粒子群（PSO）算法相结合的方式，对非均匀材料的有效参数（如弹性张量和第一Piola-Kirchhoff应力以及应变能等）进行了区间分析，充分考虑了代表性体积单元在不同边界条件下的区间参数的不确定性，以及不同区间条件对于代表性体积单元的有效参数的影响。 

Interval Multiscale Homogenization Analysis of Heterogeneous Composite Materials Based on Improved PSO Algorithm at Finite Deformation

Heterogeneous composite material in the context of elasticity at finite deformation was studied by the method of internal homogenization analysis. In the process of research, the multiscale finite mechanism was introduced and the heterogeneous composite material was taken as a non-local representative volume element(RVE). The interval effective quantities such as tangent tensor, first Piola-Kirchhoff stress and strain energy were obtained by using a multiscale finite element strategy combined with the improved particle swarm optimization algorithm, with full consideration of the internal parameter uncertainty of RVE set in different deformation-controlled boundary conditions and the effect of different internal conditions on the interval effective quantities of the RVE.