Application of Discontinuous Galerkin methods to thin structure modelling and to fracture of thin structures
Event details
| Date | 03.02.2010 |
| Hour | 15:00 |
| Speaker | Prof. Ludovic Noel |
| Location |
MEB110
|
| Category | Conferences - Seminars |
DG is now commonly used to solve hyperbolic problems and, more recently, has been used to solve elliptic problems. This method, based on the use of discontinuous test functions, allows enforcing weakly the compatibility condition through element boundary integral terms. Discontinuous Galerkin methods can also be applied to enforce weakly the C1 continuity required by high-order formulations, which leads to displacement field only methods (nodes have no degree of freedom of rotation). This method can be applied advantageously to non-linear shell problems where the C1 continuity must be guaranteed. In that case, only C1 is enforced by recourse to the DG method while the displacement field is continuous.
But by considering discontinuous test functions and interface elements in this formulation for thin structures, a new full-DG formulation is obtained.
This new formulation can be used to solve fracture problems, as extrinsic cohesive law can easily be combined to the method, as it has already been shown for solid mechanics problems.
In this work, such a displacement field approach is developed for thin structures, and more particularly to beams.
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