夹杂问题中的自洽有限元法和复合材料的平均弹性性能

SELF-CONSISTENT FINITE ELEMENT METHOD FOR THE PROBLEMS OF INCLUSION AND THE AVERAGE ELASTIC PROPERTIES OF COMPOSITE MATERIALS

摘要

摘要: 本文提出了处理夹杂问题的自洽有限元法。它以自洽模型为基础,利用有限元迭代法计算有效介质的平均弹性性能。作为应用,本文利用该方法计算了单向短纤维增强复合材料的平均弹性模量,并比较了纤维的几何形状对复合材料平均弹性性能的影响。数值结果与实验值吻合较好。
- 夹杂 /
- 自洽有限元法 /
- 平均弹性性能
Abstract: The paper presents a self-consistent finite element method (SCFEM) dealing with inclusion problems.Based on self-consistent model, the average elastic properties of effective medium are calculated by the finite element iteration procedure.As applications of this method, the average elastic moduli for unidirectional short-fiber composites are obtained and the effect of fiber geometry on average elastic properties of composites are investigated.The numerical results agree well with those of experiments.
- inclusion /
- Self-consistent finite element method /
- average elastic properties