在轴向应力状态下含有球形介在物材料的平均弹塑性过程

Average Elastic-plastic Behavior of a Composite Material with Spherical Inclusions in the Condition of Axial Stress

利用了前述的方法［１］，研究了在轴向应力状态下含有球形介在物［１］材料的平均弹塑性过程。在本研究中所涉及的材料其基体和介在物均为各向同性的理想弹塑性材料，介在物的体积相对于基体是非常地小并与基体紧密相联。由研究结果得到了介在物或基体首先屈服的判定准则。另外，当介在物的剪切模量μ＊比基体的剪切模量μ大时，材料整体的屈服应力。σ＿（Ｓｏ）随介在物的体积分数ｆ的增加而增加，明确地得到了基体或介在物首先屈服时所对应的材料整体的应力以及材料整体的应力－应变的关系。

he results of Y. Hirose and Z. Lin et al.(1994)[1] can be applied to discuss the average elastic-plastic behavior of the composite material subjeced only to axial stress. This composite material is com-posed of matrix and spherical inclusions of isotropic perfect ideal elastic plastic materials. The volume ofany inclusion is smaller than the volume of matrix , and the inclusions fit tighily against the matrix. Thecriteria is found when the inclusion beomes plastic firstly,It is shown that the yield stress of compositematerials σ_(so) increases with the increment of the total volume fraction of the inclusions f , when the shearelasticity of the inclusion μ* is blgger than that of matrix μ,the overall stress at the case of initial yielding is obtained