Title: Simulation of dynamic crystal plasticity with a Lagrangian discontinuous Galerkin hydrodynamic method

Abstract

Here we present a new Lagrangian modal discontinuous Galerkin (DG) hydrodynamic method that supports a dynamic dislocation based crystal plasticity model for simulating the mechanical behavior of crystallographic materials, both single crystal and polycrystalline, under dynamic conditions. A modal DG approach is used to evolve fields relevant to conservation laws. These fields are approximated by Taylor series polynomials of varying degree. These polynomials describe macro-scale hydrodynamic behavior while their evolution is determined by evaluating the dynamic crystal plasticity model at material points within the element. The dynamic crystal plasticity model is sensitive to the time increment size, with too large of time increments leading to instability in the model. To mitigate this, the temporal evolution of the dynamic crystal plasticity model is achieved with the combination of a sub-incrementing scheme with Heun’s third-order time integration scheme, which is also used to temporally evolve the governing equations. The implementation of the dynamic crystal plasticity model within the DG framework is tested using a 2D approximation of the Taylor impact test with a single crystal material, using quadratic elements that have faces that can bend. In addition to the standard continuous material modeling, we propose a new simulation method that would representmore » the heterogeneous behavior of polycrystalline microstructures within an element by varying the position and material properties of the material points within the element. This method is demonstrated using random orientation distributions on materials points that are arranged in both structured and random configurations.« less

Authors:

Lieberman, Evan J.  ^[1];

• Search DOE PAGES for author "Lieberman, Evan J."
• Search DOE PAGES for ORCID "0000-0001-5692-2635"

Liu, Xiaodong ^[2]; Morgan, Nathaniel R.  ^[1];

• Search DOE PAGES for author "Morgan, Nathaniel R."
• Search DOE PAGES for ORCID "0000-0002-7611-8449"

Luscher, Darby J.  ^[3]

• Search DOE PAGES for author "Luscher, Darby J."
• Search DOE PAGES for ORCID "0000-0003-2929-6119"

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+ Show Author Affiliations

1. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
2. Remcom Inc, State College, PA (United States)
3. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States). Theoretical Div.

Publication Date:

Wed Aug 25 00:00:00 EDT 2021

Research Org.:

Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Org.:

USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP)

OSTI Identifier:

1994120

Alternate Identifier(s):

OSTI ID: 1862605

Report Number(s):

LA-UR-21-22222
Journal ID: ISSN 0045-7825

Grant/Contract Number:  

89233218CNA000001; LA-UR-21-22222

Resource Type:

Accepted Manuscript

Journal Name:

Computer Methods in Applied Mechanics and Engineering

Additional Journal Information:

Journal Volume: 386; Journal ID: ISSN 0045-7825

Publisher:

Elsevier

Country of Publication:

United States

Language:

English

Subject:

42 ENGINEERING; lagrangian; hydrodynamics; discontinuous Galerkin; solid dynamics; crystal plasticity; polycrystal