A method for dynamic crack and shear band propagation with phantom nodes

A new method for modelling of arbitrary dynamic crack and shear band propagation is presented. We show that by a rearrangement of the extended finite element basis and the nodal degrees of freedom, the discontinuity can be described by superposed elements and phantom nodes. Cracks are treated by add...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2006-08, Vol.67 (6), p.868-893
Main Authors: Song, Jeong-Hoon, Areias, Pedro M. A., Belytschko, Ted
Format: Article
Language:English
Subjects:
Computational techniques
Crack propagation
Cracks
Degrees of freedom
dynamic fracture
Dynamics
Exact sciences and technology
extended finite element method
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Mathematical analysis
Mathematical methods in physics
Mathematical models
phantom nodes
Physics
Quadratures
shear band
Slip bands
Solid mechanics
Structural and continuum mechanics
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Summary:A new method for modelling of arbitrary dynamic crack and shear band propagation is presented. We show that by a rearrangement of the extended finite element basis and the nodal degrees of freedom, the discontinuity can be described by superposed elements and phantom nodes. Cracks are treated by adding phantom nodes and superposing elements on the original mesh. Shear bands are treated by adding phantom degrees of freedom. The proposed method simplifies the treatment of element‐by‐element crack and shear band propagation in explicit methods. A quadrature method for 4‐node quadrilaterals is proposed based on a single quadrature point and hourglass control. The proposed method provides consistent history variables because it does not use a subdomain integration scheme for the discontinuous integrand. Numerical examples for dynamic crack and shear band propagation are provided to demonstrate the effectiveness and robustness of the proposed method. Copyright © 2006 John Wiley & Sons, Ltd.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.1652