Analytical and numerical studies of deformation behaviour at microscopic scale
The paper presents an overview of the analytical methods as well as finite element method employed by the author in a few earlier investigations pertaining to modelling and simulation of deformation at microscopic scale. The following case-studies are considered for illustrations: deformation of a set of powder particles during hot isostatic pressing; effective properties of a typical particulate metal matrix composite and porous material; constitutive behaviour of a material exhibiting transformation-induced plasticity; shear band formation in polycrystalline material.
The paper describes certain generalized techniques for constructing the microstructural geometries, assigning material properties and imposing boundary conditions. The concept of generating two-phase geometries using a master mesh and the generalized plane strain approach to handle two-dimensional approximations used in the above studies are also reviewed. In contrast to the commonly employed unit cell models based on certain regular geometries, the present method uses the actually observed microstructural geometries. This method accommodates more realistic and complex conditions compared to those supported by the well-explored analytical methods. Although, only homogeneous and isotropic systems have been discussed in this paper, this method can be easily extended to inhomogeneous and anisotropic cases as well. In general, the technique is emerging as a suitable numerical tool for designing materials for specific applications.
Volume 44, 2021
Continuous Article Publishing mode
Prof. Subi Jacob George — Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bengaluru
Chemical Sciences 2020
Prof. Surajit Dhara — School of Physics, University of Hyderabad, Hyderabad
Physical Sciences 2020
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