On the compatibility conditions of finite deformations

Balázs Pere

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arXiv · 2509.10525

On the compatibility conditions of finite deformations

Balázs Pere

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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.

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Balázs Pere. 2025-09-04. On the compatibility conditions of finite deformations. https://arxiv.org/abs/2509.10525

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