English

A Method to Apply Piola-Kirchhoff Stress in Molecular Statics Simulation

Computational Physics 2021-04-05 v2

Abstract

A force-based optimization method is proposed to apply the first and second kind of Piola-Kirchhoff stresses in molecular statics simulation. This method is important for finite deformation problems in which the atomistic behavior can be more accurately described using Piola-Kirchhoff stresses. The performance of the method is tested and validated using Silicon as a model material.

Keywords

Cite

@article{arxiv.2011.03694,
  title  = {A Method to Apply Piola-Kirchhoff Stress in Molecular Statics Simulation},
  author = {Arman Ghasemi and Wei Gao},
  journal= {arXiv preprint arXiv:2011.03694},
  year   = {2021}
}

Comments

10 pages, 6 figures; Introduction part is modified; Fig 5 is corrected

R2 v1 2026-06-23T19:58:43.467Z