在轴向应力状态下含有扁长椭球形增强物复合材料的平均弹塑性过程

研究了在轴向应力状态下,含有扁长椭球形增强物复合材料的弹塑性过程,进一步提出了判断在屈服点处是基体首先屈服还是增强材料首先屈服的判断基准,寻找到了材料整体的屈服应力与增强材料或基体屈服应力的关系。在本研究中所涉及的材料其基体和增强材料均为理想的各向同性材料,增强材料为扁长椭球体,其体积相对于基体是非常地小并与基体紧密相联。明确地得到了基体或增强材料首先屈服时所对应

AVERAGE ELASTIC-PLASTIC BEHAVIOR OF COMPOSITE MATERIALS WITH PROLTE SPHEROID INCLUSIONS IN THE CONDITION OF AXIAL STRESS

The average elastic-plastic behavior of the composite material in the condition of axial stress is discussed.This composite material is composed of matrix of isotropic materials and prolate spheroid inclusion of isotropic materials.The volume of any inclusion is smaller than that of matrix,and the inclusions fittightly against the matrix.A criterion whether the matrix or inclusion yields first at the yield point is found.The relation between the yield stress of the matrix of the composite material and the inclusion of the composite material is shown.When the matrix or the inclusion first yields,the overall stress and stress-strain relationship of the composite material are obtained.