Research description
My research deals with the (a) development of continuum mechanics-based constitutive models for solids using (crystal) plasticity theory, (b) modeling of dissipative processes in solids, and (c) usage and development of computational solid mechanics tools. The derived constitutive models are first converted into robust numerical time-integration algorithms and then implemented into a finite-element code through a user-material subroutine interface. We also use physical experimental data available in the literature to verify the developed constitutive models and their numerical implementation.
Some of my areas of research include:
1. Crystal plasticity, twinning and phase transformations
In this work, we develop rate-independent/dependent, thermo-mechanically-coupled, finite-deformation and single-crystal-plasticity-based constitutive equations to describe the superelasticity, variant reorientation/detwinning and shape-memory effect exhibited by single crystal shape-memory alloys. The constitutive theories are derived in a thermodynamically-consistent manner and implemented in the Abaqus finite-element code by writing computationally-robust user-material subroutines. Experiments under uniaxial and multiaxial loading conditions were conducted on commercially-available polycrystalline rod and sheet shape-memory alloy to verify the developed constitutive models and their numerical implementations. We have also developed a phenomenological isotropic-plasticity-based theory to model the deformation behavior of shape-memory alloys under mechanical and/or thermal loading conditions. This model has also been implemented into the Abaqus finite-element program through a user-material subroutine interface.
2. Plasticity in amorphous metals
Here we develop a coupled thermo-elasto-viscoplastic constitutive model for bulk-metallic glasses based on finite-deformation isotropic plasticity theory. The constitutive equations were derived in a thermodynamically-consistent manner aided by microstructural balance laws. The constitutive model has been implemented in the Abaqus finite-element code by writing a user-material subroutine. Several experimental results in the literature conducted on commerically-available bulk-metallic glasses at high homologous temperatures were predicted to be in good accord by the constitutive model and the finite-element simulations. We have also developed a non-local, finite-deformation-based isotropic-plasticity theory to study the length scale effect on the shear localization process in metallic glasses at low homologous temperatures. This constitutive model has also been implemented into our own finite-element code and the Abaqus finite-element program through a user-material subroutine interface.
3. Multiscale modeling of grain growth processes in polycrystalline metals: coupling of finite-element method and phase-field modeling
In this work, a coupled finite-element and phase-field framework is developed to perform multiscale modeling of grain growth processes in polycrystalline metals. The governing equations that model the grain growth process are derived using the fundamental thermo-mechanical balance laws along with the aid of the microstructural balance laws. The constitutive model to describe grain boundary motion is then implemented in the Abaqus finite-element code by writing a user-material subroutine. Representative experimental data in the literature will be used to verify the developed constitutive model and its numerical implementation. The main goal of this project is to control and tailor the microstructure evolution in polycrystalline thin films used in the solar cell industry through computer simulations.
Research grants
Graduated students
Pan Haining (PhD, NUS), Raju Ekambaram (PhD, NUS), Mostafa Jamshidian (PhD, NUS).
Research collaborators