645 citations · 2.1k across the 59 of their papers we have counts for
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A three dimensional field formulation, and isogeometric solutions to point and line defects using Toupin's theory of gradient elasticity at finite strains
Zhenlin Wang, Shiva Rudraraju, Krishna Garikipati
We present a field formulation for defects that draws from the classical representation of the cores as force dipoles. We write these dipoles as singular distributions. Exploiting…
Mechano-chemical spinodal decomposition: A phenomenological theory of phase transformations in multi-component, crystalline solids
Shiva Rudraraju, Anton Van der Ven, Krishna Garikipati
We present a phenomenological treatment of diffusion-driven martensitic phase transformations in multi-component crystalline solids that arise from non-convex free energies in mech…
Unconditionally stable, second-order accurate schemes for solid state phase transformations driven by mechano-chemical spinodal decomposition
Koki Sagiyama, Shiva Rudraraju, Krishna Garikipati
We consider solid state phase transformations that are caused by free energy densities with domains of non-convexity in strain-composition space; we refer to the non-convex domains…