| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4627779 | Applied Mathematics and Computation | 2014 | 8 Pages |
Abstract
Applying tensor calculus we discuss change of the volume under infinitesimal bending of the surface. We obtain that the variation of the volume bounded by the surface S and the cone joining the origin to the boundary of the surface, under infinitesimal bending of S with the vector field of translation s, equals one third of the flux of the field s through the given surface S. An example is analysed and graphically presented. The paper points to the application of the obtained result in the calculation of the volume of a solid model.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Marija S. NajdanoviÄ,