1305.4286 (Lior Falach)

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

Lior Falach

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.

View original: http://arxiv.org/abs/1305.4286