Open Access

ARTICLE

Brittle Fracture and Hydroelastic Simulations based on Moving Particle Simulation

by R.A. Amaro Junior¹, L.Y. Cheng¹

1 Department of Construction Engineering, Polytechnic School, University of São Paulo, São Paulo, SP, Brazil.

Computer Modeling in Engineering & Sciences 2013, 95(2), 87-118. https://doi.org/10.3970/cmes.2013.095.087

Abstract

In this paper simulations of brittle fracture and hydroelastic problems are carried out by using a numerical approach based on the Moving Particle Simulation (MPS) method. It is a meshless method used to model both fluid and elastic solid, and all the computational domain is discretized in Lagrangian particles. A higher order accuracy gradient operator is used herein by adopting a correction matrix. Also, in order to correctly simulate the collision of the fragments, a contact detection algorithm that takes into account the presence of the solid surfaces generated by brittle fracture is proposed. In case of fluid-structure interaction, a partitioned coupling between fluid and isotropic elastic solid is adopted. Explicit and semi-implicit time integration algorithms are used for elastic solid and fluid domains, respectively. Matching of the time steps in both domains is done by subcycling technique to improve the computational efficiency. The performance of method is evaluated by analyzing the results of several cases of study. At first, the dynamics of slender cantilever beam is analyzed to check the convergence of the method. After that, a collision between two elastic solids with brittle fracture and further collision between the fragments is simulated to show the improvement achieved. Finally, to validate the fluid-structure interaction simulation approach, comparison with available numerical results of a dam breaking on an elastic plate is performed, as well as the comparison with available experimental measurements of the interaction between liquid sloshing and an elastic plate.

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Keywords

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