Numerical investigation of necking in perforated sheets using the periodic homogenization approach
Numerical investigation of necking in perforated sheets using the periodic homogenization approach
复制标题
使用周期性均质化方法对穿孔板颈缩进行数值研究
DOI：
10.1016/j.ijmecsci.2019.105209
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发表时间：
2020
影响因子：
7.3
通讯作者：
F. Abed
中科院分区：
文献类型：
--
作者：
Jianchang Zhu;M. B. Bettaieb;F. Abed
由于其有吸引力的性能，穿孔板越来越多地用于许多工业应用，如汽车，建筑，污染控制等，因此，这种片材的机械行为的精确建模仍然是一个有价值的目标。本文的目的是通过开发可靠的数值工具，能够预测发生颈缩穿孔板这方面的努力。这些工具是基于周期性均匀化技术和三个塑性失稳准则之间的耦合。周期性均匀化技术是用来获得等效的宏观力学行为的一个代表性的体积元素，这些片。另一方面，塑性失稳的预测是基于三个颈缩准则：最大力准则（扩散颈缩），一般分叉准则（扩散颈缩），和椭圆度损失准则（局部颈缩）。通过应用三个不稳定性准则得到的预测进行了深入的分析和比较。还进行了灵敏度研究，数值研究的影响颈缩的预测的设计参数（尺寸，纵横比，方向和形状的孔），宏观边界条件和金属基体材料参数（塑性各向异性，硬化）。
Due to their attractive properties, perforated sheets are increasingly used in a number of industrial applications, such as automotive, architecture, pollution control, etc. Consequently, the accurate modeling of the mechanical behavior of this kind of sheets still remains a valuable goal to reach. This paper aims to contribute to this effort by developing reliable numerical tools capable of predicting the occurrence of necking in perforated sheets. These tools are based on the coupling between the periodic homogenization technique and three plastic instability criteria. The periodic homogenization technique is used to derive equivalent macroscopic mechanical behavior for a representative volume element of these sheets. On the other hand, the prediction of plastic instability is based on three necking criteria: the maximum force criterion (diffuse necking), the general bifurcation criterion (diffuse necking), and the loss of ellipticity criterion (localized necking). The predictions obtained by applying the three instability criteria are thoroughly analyzed and compared. A sensitivity study is also conducted to numerically investigate the influence on the prediction of necking of the design parameters (dimension, aspect-ratio, orientation, and shape of the holes), the macroscopic boundary conditions and the metal matrix material parameters (plastic anisotropy, hardening).
穿孔板和膜的渐近分析第 2 部分：大孔的静态和动态问题
影响因子：
3.6
作者：
Andrianov I.V;Danishevs’kyy V.V;Kalamkarov A.L.
通讯作者：
Kalamkarov A.L.
穿孔板和膜的渐近分析第 1 部分：小孔的静态问题
影响因子：
3.6
作者：
Andrianov I.V;Danishevs’kyy V.V;Kalamkarov A.L.
通讯作者：
Kalamkarov A.L.