Differentiable manifolds and the principle of virtual work in continuum mechanics
- 1 May 1980
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 21 (5) , 1243-1245
- https://doi.org/10.1063/1.524516
Abstract
A material body is conceived in terms of a global and a local model, the compatibility of which is shown to imply a generalization of the principle of virtual work. The classical notion of stress appears as a particular case of the force associated with the local model when an affine connection is specified in the physical manifold.Keywords
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