Abstract
The effective mechanical properties of a polycrystal depend directly on the single-crystal properties of each grain and its crystallographic orientation with respect to the load axis. While the micromechanical approach has been used quite extensively to study the influence of grain shape and crystallographic texture on the resulting mechanical behavior of a polycrystal, the influence of the crystal plasticity parameters, which describe the constitutive behavior of the single crystal, requires to be investigated systemically because, typically, these parameters are fitted to describe a given material behavior. In the current research, this gap is filled by systemically studying the effect of changes in crystal plasticity parameters on the effective mechanical properties of polycrystals. The numerical model employed here consists of a representative volume element of 100 grains, and the material properties are described by using a non-local crystal plasticity model. A proper homogenization technique was used to homogenize the micromechanical results to an effective macroscopic material response. The equivalent stress versus equivalent plastic strain curve was obtained numerically by introducing the Voce-type hardening law, mimicking the material behavior in uniaxial tensile tests. The four parameters of the Voce-type hardening law were fitted to the macroscopic stress-strain curves, and the correlation between the crystal plasticity parameters and the Voce parameters has been studied, which is an efficient way to study the influence of microscopic material descriptions on the macroscopic behavior of polycrystals.
Highlights
Micromechanical analysis is the study of heterogeneous materials at the level of the individual components making up these materials
The material considered in this study is Ferrite, which is categorized as a bodycentered cubic (BCC) form of iron, and its behavior is characterized by a non-local crystal plasticity model developed by a user-defined material subroutine (UMAT) in ABAQUS
The equivalent stress-equivalent plastic strain curves represented in Figure 5 are fitted well, using the Voce-type hardening law with numerical results based on the crystal plasticity model
Summary
Micromechanical analysis is the study of heterogeneous materials at the level of the individual components making up these materials. Advanced non-local constitutive models have been developed to consider the effect of the deformation gradient, which is responsible for different types of size effects, such as bending and twisting of a polycrystalline. It mostly occurs at grain boundaries between polycrystal grains whose misorientations cause a large deformation mismatch in their behavior. Micromechanical analyses are conducted by using the homogenization method and creating an RVE to investigate the effect of non-local crystal plasticity parameters on the deformation behavior of a polycrystalline solid.
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