An Efficient Adaptive Procedure for Three-Dimensional Fragmentation Simulations |
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Authors: | A Pandolfi M Ortiz |
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Affiliation: | (1) Structural Engineering Department, Politecnico di Milano, Milano, Italy, IT;(2) Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, CA, USA, US |
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Abstract: | We present a simple set of data structures, and a collection of methods for constructing and updating the structures, designed
to support the use of cohesive elements in simulations of fracture and fragmentation. Initially, all interior faces in the
triangulation are perfectly coherent, i.e. conforming in the usual finite element sense. Cohesive elements are inserted adaptively
at interior faces when the effective traction acting on those faces reaches the cohesive strength of the material. The insertion
of cohesive elements changes the geometry of the boundary and, frequently, the topology of the model as well. The data structures
and methods presented here are straightforward to implement, and enable the efficient tracking of complex fracture and fragmentation
processes. The efficiency and versatility of the approach is demonstrated with the aid of two examples of application to dynamic
fracture. |
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Keywords: | : 3D finite elements Adaptive remeshing Cohesive elements Fracture Fragmentation Topological changes |
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