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中文摘要：
含夹杂Voronoi单元通过在基体单元中引入一任意夹杂,可以更好地反映非均质材料中微结构特性。基于参数势能和余能原理,推导了无夹杂和含夹杂Voronoi单元有限元列式,并在此基础上形成二次规划求解模型。将含夹杂Voronoi单元应用于非均质材料宏观弹塑性性能预测计算中,分析了非均质材料中夹杂对其宏观等效弹塑性力学性能的影响。数值结果与其它方法所得结果的比较证明了本文中所给出模型的正确性和工程可适用性。
英文摘要：
The Voronoi cell finite element method （VCFEM） was adopted to replace the classical displacement based finite element method in numerical simulation of the equivalent mechanical property of heterogeneous materials. The parametric variational principle and quadratic programming method were coupled with the VCFEM for the analysis of the two-dimensional heterogeneous problem. Finite element formulations were derived and a standard quadratic programming model was deduced from the problem. The influence of the microscopic inclusion on the overall mechanical response of heterogeneous materials was studied. The mechanical properties of heterogeneous materials depend mostly on the size, shape and distribution of the material phases of the mierostrueture. Some numerical examples were presented and compared with ANSYS, and the results demonstrate the validity and effectiveness of the method developed.
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