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Keywords: fluid-structure interaction, thin-shells, large deformations, fracture, detonations, parallelization.

Summary

A robust computational method for the loosely coupled simulation of flexible thin-shells interacting with compressible high speed flows is developed. The target applications of the present approach are highly complex fluid-structure interaction problems, which, for example, arise during fluid driven fracture and fragmentation of thin-shells.

The mechanical response of the fracturing thin-shell is modeled with a Kirhhoff-Love type shell theory in Lagrangian coordinates. The conforming finite element discretization of the underlying energy functional is accomplished with subdivision finite elements [1]. The compressible high-speed fluid flow is discretized with a Eulerian finite volume method on a block-structured Cartesian grid [2]. The coupling between the moving shell and fixed fluid discretization is facilitated by the use of level sets for representing the fluid-shell interface on the fluid mesh. The resulting implicit representation of the interface enables the efficient enforcement of the interface conditions [3]. All algorithmic components have been parallelized for distributed memory computing platforms.

As verification and validation examples we consider, amongst others, the plastic deformation of a copper plate impacted by a strong pressure wave inside a water pipe and the rupture of thin aluminum tubes due to the passage of ethylene-oxygen detonations.

References

1: F. Cirak, R. Deiterding and S.M. Mauch. "Large-Scale Fluid-Structure Interaction Simulation of Viscoplastic and Fracturing Thin-Shells Subjected to Shocks and Detonations", Computers & Structures, In print, 2007. doi:10.1016/j.compstruc.2006.11.014
2: F. Cirak, M. Ortiz and A. Pandolfi. "A Cohesive Approach to Thin-Shell Fracture and Fragmentation", Computer Methods in Applied Mechanics and Engineering, 194, 2604-2618, 2005. doi:10.1016/j.cma.2004.07.048
3: F. Cirak and R. Radovitzky. "A Lagrangian-Eulerian Shell-Fluid Coupling Algorithm Based on Level Sets", Computers & Structures, 83, 491-498, 2005. doi:10.1016/j.compstruc.2004.03.085

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 85 PROCEEDINGS OF THE FIFTEENTH UK CONFERENCE OF THE ASSOCIATION OF COMPUTATIONAL MECHANICS IN ENGINEERING Edited by: B.H.V. Topping Paper 61 Large-Scale Fluid-Structure Interaction Simulation of Viscoplastic and Fracturing Thin-Shells Subjected to Shocks and Detonations F. Cirak¹, R. Deiterding² and S.P. Mauch³ ¹Department of Engineering, University of Cambridge, United Kingdom ²Oak Ridge National Laboratory, Oak Ridge TN, United States of America ³California Institute of Technology, Pasadena CA, United States of America doi:10.4203/ccp.85.61 purchase the full-text of this paper Full Bibliographic Reference for this paper F. Cirak, R. Deiterding, S.P. Mauch, "Large-Scale Fluid-Structure Interaction Simulation of Viscoplastic and Fracturing Thin-Shells Subjected to Shocks and Detonations", in B.H.V. Topping, (Editor), "Proceedings of the Fifteenth UK Conference of the Association of Computational Mechanics in Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 61, 2007. doi:10.4203/ccp.85.61 Keywords: fluid-structure interaction, thin-shells, large deformations, fracture, detonations, parallelization. Summary A robust computational method for the loosely coupled simulation of flexible thin-shells interacting with compressible high speed flows is developed. The target applications of the present approach are highly complex fluid-structure interaction problems, which, for example, arise during fluid driven fracture and fragmentation of thin-shells. The mechanical response of the fracturing thin-shell is modeled with a Kirhhoff-Love type shell theory in Lagrangian coordinates. The conforming finite element discretization of the underlying energy functional is accomplished with subdivision finite elements [1]. The compressible high-speed fluid flow is discretized with a Eulerian finite volume method on a block-structured Cartesian grid [2]. The coupling between the moving shell and fixed fluid discretization is facilitated by the use of level sets for representing the fluid-shell interface on the fluid mesh. The resulting implicit representation of the interface enables the efficient enforcement of the interface conditions [3]. All algorithmic components have been parallelized for distributed memory computing platforms. As verification and validation examples we consider, amongst others, the plastic deformation of a copper plate impacted by a strong pressure wave inside a water pipe and the rupture of thin aluminum tubes due to the passage of ethylene-oxygen detonations. References 1 F. Cirak, R. Deiterding and S.M. Mauch. "Large-Scale Fluid-Structure Interaction Simulation of Viscoplastic and Fracturing Thin-Shells Subjected to Shocks and Detonations", Computers & Structures, In print, 2007. doi:10.1016/j.compstruc.2006.11.014 2 F. Cirak, M. Ortiz and A. Pandolfi. "A Cohesive Approach to Thin-Shell Fracture and Fragmentation", Computer Methods in Applied Mechanics and Engineering, 194, 2604-2618, 2005. doi:10.1016/j.cma.2004.07.048 3 F. Cirak and R. Radovitzky. "A Lagrangian-Eulerian Shell-Fluid Coupling Algorithm Based on Level Sets", Computers & Structures, 83, 491-498, 2005. doi:10.1016/j.compstruc.2004.03.085 purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £75 +P&P)
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