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Modified Burzynski criterion along with AFR and non-AFR for asymmetric anisotropic materials
Archives of Civil and Mechanical Engineering ( IF 4.4 ) Pub Date : 2021-04-01 , DOI: 10.1007/s43452-021-00214-6
Farzad Moayyedian , Mehran Kadkhodayan

Burzynski criterion is a well-known criterion is employed for pressure-sensitive isotropic materials. In the current study, this criterion is modified for asymmetric anisotropic materials called hear MB. Firstly, a modified deviatoric stress tensor is defined with a linear transformation to consider the anisotropy effects of materials. Secondly, MB is presented by the sum of n-components to have more capability to be calibrated with different numbers of experimental tests and thirdly, the non-linear impact of hydrostatic pressure is ignored due to the previous experiments. In this research, when associated flow rule (AFR) and non-associated flow rule (non-AFR) are employed to calibrate MB, it is called MB-1 and MB-2, respectively. Yielding of different alloys such as AA 2008-T4 and AA 2090-T3 with Face-Centered Cubic (FCC) structure and also AZ31 B, ZK61 M, high purity α-titanium, texture magnesium, Mg-0.5% Th alloy, Mg-4% Li alloy and Ti-4 Al-1/4 O2 titanium alloy with Hexagonal Close-Packed (HCP) structure are studied to show the accuracy of MB-1 and MB-2. It is shown that the presented approach is very effective especially by using MB-2.



中文翻译:

非对称各向异性材料的经修改的Burzynski准则以及AFR和非AFR

Burzynski准则是用于压敏各向同性材料的众所周知准则。在当前的研究中,此标准针对称为hear MB的非对称各向异性材料进行了修改。首先,通过线性变换定义修正的偏应力张量,以考虑材料的各向异性效应。其次,MB由n的总和表示-组件具有更多的能力,可以通过不同数量的实验测试进行校准,其次,由于先前的实验,静水压力的非线性影响被忽略了。在这项研究中,当使用关联流规则(AFR)和非关联流规则(non-AFR)来校准MB时,分别称为MB-1和MB-2。诸如具有面心立方(FCC)结构的AA 2008-T4和AA 2090-T3以及AZ31 B,ZK61 M,高纯度α-钛,织构镁,Mg-0.5%Th合金,Mg-研究了具有六边形密堆积(HCP)结构的4%Li合金和Ti-4 Al-1 / 4 O 2钛合金,以显示MB-1和MB-2的精度。结果表明,所提出的方法特别有效,特别是通过使用MB-2。

更新日期:2021-04-01
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