English

Compatibility condition for the Eulerian left Cauchy-Green deformation tensor field

Classical Physics 2022-10-13 v3

Abstract

An explicit compatibility condition formula is presented for the Eulerian left Cauchy-Green deformation tensor field. It is shown to be the appropriate finite-strain counterpart of Saint-Venant's compatibility condition. The difference between the Eulerian problem and the Lagrangian one is highlighted.

Cite

@article{arxiv.2108.01567,
  title  = {Compatibility condition for the Eulerian left Cauchy-Green deformation tensor field},
  author = {Tamás Fülöp},
  journal= {arXiv preprint arXiv:2108.01567},
  year   = {2022}
}

Comments

9 pages

R2 v1 2026-06-24T04:47:43.962Z