Parallel three-dimensional simulations of quasi-static elastoplastic solids

Boffi, Nicholas M.; Rycroft, Chris H.

doi:10.1016/j.cpc.2020.107254

Parallel three-dimensional simulations of quasi-static elastoplastic solids

Journal Article · Sun Mar 01 00:00:00 EST 2020 · Computer Physics Communications

DOI:https://doi.org/10.1016/j.cpc.2020.107254· OSTI ID:1580840

Boffi, Nicholas M. ^[1]; Rycroft, Chris H. ^[2]

Harvard Univ., Cambridge, MA (United States)
Harvard Univ., Cambridge, MA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Hypo-elastoplasticity is a flexible framework for modeling the mechanics of many hard materials under small elastic deformation and large plastic deformation. Under typical loading rates, most laboratory tests of these materials happen in the quasi-static limit, but there are few existing numerical methods tailor-made for this physical regime. Here, we extend to three dimensions a recent projection method for simulating quasi-static hypo-elastoplastic materials. The method is based on a mathematical correspondence to the incompressible Navier–Stokes equations, where the projection method of Chorin (1968) is an established numerical technique. We develop and utilize a three-dimensional parallel geometric multigrid solver employed to solve a linear system for the quasi-static projection. Our method is tested through simulation of three-dimensional shear band nucleation and growth, a precursor to failure in many materials. As an example system, we employ a physical model of a bulk metallic glass based on the shear transformation zone theory, but the method can be applied to any elastoplasticity model. We consider several examples of three-dimensional shear banding, and examine shear band formation in physically realistic materials with heterogeneous initial conditions under both simple shear deformation and boundary conditions inspired by friction welding.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1580840

Alternate ID(s):: OSTI ID: 1809395

Journal Information:: Computer Physics Communications, Journal Name: Computer Physics Communications Vol. 257; ISSN 0010-4655

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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