195 citations · 510 across the 18 of their papers we have counts for
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math.NA2022★ 3 cited
A numerical investigation of dimensionless numbers characterizing meltpool morphology of the laser powder bed fusion process
Kunal Bhagat, Shiva Rudraraju
Microstructure evolution in metal additive manufacturing (AM) is a complex multi-physics and multi-scale problem. Understanding the impact of AM process conditions on the microstru…
math.NA2022★ 2 cited
Modeling of dendritic solidification and numerical analysis of the phase-field approach to model complex morphologies in alloys
Kunal Bhagat, Shiva Rudraraju
Dendrites are one of the most widely observed patterns in nature and occur across a wide spectrum of physical phenomena. In solidification and growth patterns in metals and crystal…
math.NA2017★ 2 cited
A numerical study of branching and stability of solutions to three-dimensional martensitic phase transformations using gradient-regularized, non-convex, finite strain elasticity
Koki Sagiyama, Shiva Rudraraju, Krishna Garikipati
In the setting of continuum elasticity, phase transformations involving martensitic variants are modeled by a free energy density function that is non-convex in strain space. Here,…