Extracting continuum-like deformation and stress from molecular dynamics simulations

Authors

Lili Zhang, University of Oxford
John Jasa, University of Nebraska-Lincoln
George Gazonas, U.S. Army Research Laboratory, Aberdeen Proving Ground, MD
Antoine Jerusalem, University of Oxford
Mehrdad Negahban, University of Nebraska-LincolnFollow

Document Type

Article

Date of this Version

2015

Citation

Comput. Methods Appl. Mech. Engrg. 283 (2015) 1010–1031

Comments

Copyright 2014 Elsevier B.V. All rights reserved.

Abstract

We present methods that use results from molecular dynamics (MD) simulations to construct continuum parameters, such as deformation gradient and Cauchy stress, from all or any part of an MD system. These parameters are based on the idea of minimizing the difference between MD measures for deformation and traction and their continuum counterparts. The procedures should be applicable to non-equilibrium and inhomogeneous systems, and to any part of a system, such as a polymer chain. The resulting procedures provide methods to obtain first and higher order deformation gradients associated with any subset of the MD system, and associated expressions for the Cauchy and nominal stresses. As these procedures are independent of the type of interactions, they can be used to study any MD simulation in a manner consistent with continuum mechanics and to extract information exploitable at the continuum scale to help construct continuum-level constitutive models.