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arXiv · 1305.4286

Application of Geometric measure Theory in Continuum Mechanics: The Configuration Space, Principle of Virtual Power and Cauchy's Stress Theory for Rough Bodies

Lior Falach
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Abstract

In this work, the principles of Homological Integration Theory are applied to the mathematical formulation of continuum mechanics. A central guideline in the currently acceptable formulation of continuum mechanics is that an admissible body is represented by a set of finite perimeter. The proposed framework is shown to enable the inclusion of a class of generalized bodies for which a corresponding stress theory is properly formulated and a generalized principle of virtual power is presented.

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Lior Falach. 2013-05-18. Application of Geometric measure Theory in Continuum Mechanics: The Configuration Space, Principle of Virtual Power and Cauchy's Stress Theory for Rough Bodies. https://arxiv.org/abs/1305.4286

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