Evolutionarily Coupled Finite-Element Mesh-Free Formulation for Modeling Concrete Behaviors under Blast and Impact Loadings
Publication: Journal of Engineering Mechanics
Volume 139, Issue 4
Abstract
An evolutionarily coupled finite-element (FE) and reproducing kernel (RK) formulation is implemented in the Karagozian and Case–finite element/mesh-free (KC-FEMFRE) code for modeling concrete behaviors under blast and impact loadings. Mesh-free methods, such as the RK particle method, have the capacity to overcome regularization requirements and numerical instabilities that encumber finite-element methods in large deformation problems, and they are also more naturally suited for problems involving material perforation and fragmentation. To enhance efficiency, a novel approach is developed by coupling the FE approximation with the RK approximation in a controllable and evolutionary fashion. A unique domain integration, stabilized conforming nodal integration, is applied to both FE and RK domains, and therefore the state variables are stored at nodal points directly, and thus no state variable transition is required when mesh conversion is performed. This has a wide range of utility, not only related to efficiency of RK simulations, but by providing a consistent numerical approach for element-to-particle conversion. Moreover, the Karagozian and Case concrete (KCC) model is implemented into the KC-FEMFRE framework, and the internal damage variable of the KCC model is used to evolve mesh-free particles. Quasi-static, blast, and high-speed impact problems are simulated by the coupled formulation, and realistic responses are obtained.
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Published In
Journal of Engineering Mechanics
Volume 139 • Issue 4 • April 2013
Pages: 525 - 536
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Jan 13, 2012
Accepted: Jun 11, 2012
Published online: Jul 26, 2012
Published in print: Apr 1, 2013
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