Notes on Lagrangian continuum mechanics

V. M. Jiménez

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arXiv · 2402.03039

Notes on Lagrangian continuum mechanics

V. M. Jiménez

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Abstract

In Continuum Mechanic a simple material body $\mathcal{B}$ is represeted by a three-dimensional differentiable manifold and the configuration space is given by the space of embeddings $Emb \left( \mathcal{B} , \mathbb{R}^{n} \right)$. We use the topology of infinite-dimensional manifold of this space, to present the first variation formula for Lagrangian mechanics.

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V. M. Jiménez. 2024-02-05. Notes on Lagrangian continuum mechanics. https://arxiv.org/abs/2402.03039

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