Sequentially linear analysis for simulating brittle failure

Sequentially linear analysis for simulating brittle failure

van de Graaf, A.V. (TU Delft Applied Mechanics)

Rots, J.G. (promotor)
Hendriks, M.A.N. (promotor)

Delft University of Technology

2017-05-02

The numerical simulation of brittle failure at structural level with nonlinear finite
element analysis (NLFEA) remains a challenge due to robustness issues. We attribute these problems to the dimensions of real-world structures combined with softening behavior and negative tangent stiffness at local level which may lead to non-convergence, i.e. the applied external loads are not in equilibrium with the internal forces. Also multiple cracks that compete to “survive” and the possibility of bifurcations, i.e. the existence of multiple equilibrium paths, contribute to these problems. However, in engineering practice robust numerical methods become increasingly important. For example, NLFEA may be used to determine the actual load bearing capacity of existing concrete bridges in order to assess whether these meet the current regulations. Also for the prediction of building damage due to underground construction or seismic action NLFEA may be employed.

Sequentially linear analysis
Brittle failure
Finite element analysis
Non-proportional loading
Coulomb friction
Saw-tooth law

https://doi.org/10.4233/uuid:dd9ea945-136c-4b74-bae2-f1a8cf9a6ed9

978-94-6186-799-5

Institutional Repository

doctoral thesis

© 2017 A.V. van de Graaf