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- W2933291454 abstract "In this two-part paper, we extend to three dimensions a new projection method for simulating hypo-elastoplastic solids in the quasi-static limit. The method is based on a surprising mathematical correspondence to the incompressible Navier-Stokes equations, where the projection method of Chorin (1968) is an established numerical technique. In both parts, we explore the method through numerical simulation of a three-dimensional continuum-level elastoplastic model of a bulk metallic glass, based on the shear transformation zone (STZ) theory of amorphous plasticity. Here in part II, we present a variation of the projection method based on a coordinate transformation that enables the implementation of boundary conditions through deformation of the grid itself. By considering physically equivalent situations, we show that the original quasi-static method and the transformed method agree up to small differences in discretization errors that shrink as the grid spacing is decreased. We demonstrate how this formalism can be used to implement several interesting cases with ease, such as Lees-Edwards boundary conditions commonly used in molecular-dynamics simulations, and pure shear boundary conditions." @default.
- W2933291454 created "2019-04-11" @default.
- W2933291454 creator A5031046135 @default.
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- W2933291454 date "2019-04-08" @default.
- W2933291454 modified "2023-09-27" @default.
- W2933291454 title "Parallel three-dimensional simulations of quasi-static elastoplastic solids. Part II: Coordinate transformations" @default.
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- W2933291454 hasPublicationYear "2019" @default.
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