Ideal forming—I. Homogeneous deformation with minimum plastic work
Ideal forming—I. Homogeneous deformation with minimum plastic work
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DOI：
10.1016/0020-7403(92)90032-c
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发表时间：
1992-07
影响因子：
7.3
通讯作者：
K. Chung;O. Richmond
中科院分区：
文献类型：
--
作者：
K. Chung;O. Richmond
理想均匀变形定义为以最小塑性功产生所需均匀变形的路径。在相当宽泛的假设下，这条路径对应于最小有效应变路径。当(1)在变形过程中，主材料线相对于材料是固定的，(2)主真应变率之比是恒定的，就可以实现最小的工作路径。这条路径对于具有光滑屈服面的材料来说是独特的，比如米塞斯材料。对于具有尖屈服面的材料，这两个条件只是部分必需的，并且路径不是唯一的。对于Tresca材料，只有主要材料线固定时才能实现理想路径。对于各向同性材料，可以任意选择固定材料线；但是，对于各向异性材料，它们的限制更大。
Ideal homogeneous deformation is defined as the path which produces a desired homogeneous deformation with minimum plastic work. Under rather broad assumptions, it is shown that this path corresponds to a path of minimum effective strain. The minimum work path is achieved when (1) the principal material lines are fixed with respect to the material during deformation, and (2) the ratio of principal true strain rates is constant. This path is unique for materials having smooth yield surfaces, such as Mises materials. For materials having pointed yield surfaces, the two conditions are only partially required and the path is not unique. For Tresca materials, an ideal path is achieved when only the major principal material line is fixed. For isotropic materials, the fixed material lines may be chosen arbitrarily; but, for anisotropic materials they are more restrictive.