Please use this identifier to cite or link to this item:
|Title:||Numerical solution of a virtual internal bond model for material fracture|
|Authors:||Lin, P. |
Virtual internal bond model
|Citation:||Lin, P., Shu, C.-W. (2002-07-01). Numerical solution of a virtual internal bond model for material fracture. Physica D: Nonlinear Phenomena 167 (1-2) : 101-121. ScholarBank@NUS Repository. https://doi.org/10.1016/S0167-2789(02)00458-X|
|Abstract:||A virtual internal bond (VIB) model is proposed recently in mechanical engineering literatures for simulating dynamic fracture. The model is a nonlinear wave equation of mixed type (hyperbolic or elliptic). There is instability in the elliptic region and usual numerical methods might not work. We examine the artificial viscosity method for the model and apply central type schemes directly to the corresponding viscous system to ensure appropriate numerical viscous term for such a mixed type problem. We provide a formal justification of indicating convergence of the scheme despite the difficulty of the type change. The exact solution of a Riemann problem is used to demonstrate the numerical method for one-dimensional case. We then generalize the method to a two-dimensional material with a triangular or hexagonal lattice structure. Computational results for a two-dimensional example are given. © 2002 Elsevier Science B.V. All rights reserved.|
|Source Title:||Physica D: Nonlinear Phenomena|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Jan 22, 2019
WEB OF SCIENCETM
checked on Jan 7, 2019
checked on Jan 18, 2019
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.