Green's function molecular dynamics meets discrete dislocation plasticity

Green's function molecular dynamics meets discrete dislocation plasticity

Parayil Venugopalan, S. (TU Delft (OLD) MSE-7)
Mueser, Martin H. (Saarland University)
Nicola, L. (TU Delft (OLD) MSE-7; Università degli Studi di Padova)

2017

Metals deform plastically at the asperity level when brought in contact with a counter body even when the nominal contact pressure is small. Modeling the plasticity of solids with rough surfaces is challenging due to the multi-scale nature of surface roughness and the length-scale dependence of plasticity. While discrete-dislocation plasticity (DDP) simulations capture size-dependent plasticity by keeping track of the motion of individual dislocations, only simple two-dimensional surface geometries have so far been studied with DDP. The main computational bottleneck in contact problems modeled by DDP is the calculation of the dislocation image fields. We address this issue by combining two-dimensional DDP with Green's function molecular dynamics. The resulting method allows for an efficient boundary-value-method based treatment of elasticity in the presence of dislocations. We demonstrate that our method captures plasticity quantitatively from single to many dislocations and that it scales more favorably with system size than conventional methods. We also derive the relevant Green's functions for elastic slabs of finite width allowing arbitrary boundary conditions on top and bottom surface to be simulated.

Green's functions
dislocation dynamics
contact mechanics

http://resolver.tudelft.nl/uuid:9d42614b-851c-4ef0-9049-04f8a08f1d0e

https://doi.org/10.1088/1361-651X/aa7e0e

0965-0393

Modelling and Simulation in Materials Science and Engineering, 25 (6)

Institutional Repository

journal article

© 2017 S. Parayil Venugopalan, Martin H. Mueser, L. Nicola