Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707729 | Applied Mathematics Letters | 2015 | 6 Pages |
Abstract
In this letter it is shown how the singularities created by dislocations in an elastic body must not preclude from a linear approach. Cauchy elasticity is considered and hence no variational approach is needed and the displacement field only appears in a second step, as an interpretation of the one of the two model variables, arisen from a Beltrami decomposition of the strain tensor. The second model variable obeys nonclassical PDEs relying on the incompatibility operator, and whose well posedness is here addressed.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Nicolas Van Goethem,