Abstract
The paper describes a mathemetical framework for the formulation of the basic notions of the theory of forces and stresses in continuum mechanics. In the suggested framework, forces are defined as linear functionals on the space of virtual displacements. It is shown that on the ground of this definition and by choosing a proper norm in the space of virtual displacements, the existence of stress can be proved without making the traditional assumptions regarding body forces, surface forces, and equilibrium.
| Original language | English |
|---|---|
| Pages (from-to) | 75-78 |
| Number of pages | 4 |
| Journal | Israel Journal of Technology |
| Volume | 23 |
| Issue number | 3 |
| State | Published - 1 Jan 1985 |
| Event | Proceedings of the Nineteenth Israel Conference on Mechanical Engineering, Selected Papers - Beer-Sheva, Isr Duration: 19 Jun 1985 → 20 Jun 1985 |
ASJC Scopus subject areas
- General Engineering