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Modified Burzynski criterion along with AFR and non-AFR for asymmetric anisotropic materials

Moayyedian Farzad, Kadkhodayan Mehran

Archives of Civil and Mechanical Engineering

2021

Vol. 21, no. 2

392--409

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.

Nonlinear dynamic analysis of axially moving porous FG plate subjected to local force with kinetic dynamic relaxation method

Esmaeilzadeh Mostafa, Kadkhodayan Mehran

Computer Methods in Materials Science

2018

Vol. 18, No. 1

18--28

In some engineering applications like moving ships the axially moving FG structures have to be investigated. In this paper, the nonlinear response and stability of an axially moving porous FGM plate under a local concentrated load are studied. The plate is made of materials whose properties are assumed to be graded in the thickness direction. To take the effect of porosity into account, the modified rule of mixture is chosen to calculate the effective material properties. The kinetic dynamic relaxation method along with the implicit Newmark integration are used to solve the nonlinear dynamic equations. Finally, the effect of material gradient index, porosity volume fraction and boundary conditions on dynamic deflection and instability of plate are discussed.