## a b s t r a c t The mechanically-based approach to non-local elastic continuum, will be captured through variational calculus, based on the assumptions that non-adjacent elements of the solid may exchange central body forces, monotonically decreasing with their interdistance, depending on the re
A mechanically based approach to non-local beam theories
โ Scribed by Mario Di Paola; Giuseppe Failla; Alba Sofi; Massimiliano Zingales
- Book ID
- 113651579
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 536 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0020-7403
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๐ SIMILAR VOLUMES
This paper presents the generalization to a three-dimensional (3D) case of a mechanically-based approach to non-local elasticity theory, recently proposed by the authors in a one-dimensional (1D) case. The proposed model assumes that the equilibrium of a volume element is attained by contact forces
Some evolution equations possess infinite-dimensional prolongation Lie algebras which can be made finite-dimensional by using a bigger (non-Archimedean) field. The advantage of this is that convergence problems hardly exist in such a field. Besides that, the accompanying Lie groups can be easily con