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A Spectral Scheme to Simulate Dynamic Fracture Problems in Composites

Changyu Hwang1, Philippe H. Geubelle2
Center for Simulation of Advanced Rockets
Center for Simulation of Advanced Rockets, Department of Aeronautical and Astronautical Engineering, Univ. of Illinois, Urbana-Champaign, IL, USA.

Computer Modeling in Engineering & Sciences 2000, 1(4), 45-56.


This paper presents the formulation and numerical implementation of a spectral scheme specially developed to simulate dynamic fracture events in unidirectional and cross-ply fiber-reinforced composites. The formulation is based on the spectral representation of the transversely isotropic elastodynamic relations between the traction stresses along the fracture plane and the resulting displacements. Example problems involving stationary or dynamically propagating cracks in fiber-reinforced composites are investigated and compared with reference solutions available in the literature and/or experimental observations.


Spectral method, transversely isotropic solid, fiber-reinforced composites, dynamic fracture.

Cite This Article

Hwang, C., Geubelle, P. H. (2000). A Spectral Scheme to Simulate Dynamic Fracture Problems in Composites. CMES-Computer Modeling in Engineering & Sciences, 1(4), 45–56.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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