On the compatibility conditions of finite deformations
Classical Physics
2025-09-17 v2 Mathematical Physics
math.MP
Abstract
This paper examines the intuitive meaning of the Saint--Venant compatibility equation known from the linear theory of deformations. The linearized theory is typically obtained from the relations of finite deformation theory by neglecting higher-order terms. We show how to formulate the compatibility conditions for finite deformations and how the well-known equation for small deformations follows from this formulation.
Keywords
Cite
@article{arxiv.2509.10525,
title = {On the compatibility conditions of finite deformations},
author = {Balázs Pere},
journal= {arXiv preprint arXiv:2509.10525},
year = {2025}
}
Comments
5 pages, 1 figure