Discontinuous Bifurcation Analysis of a Coupled Rate-Dependent Damage and Plasticity Model for Impact Responses
Publication: Journal of Engineering Mechanics
Volume 133, Issue 9
Abstract
To identify the transition from continuous to discontinuous modes in the failure evolution of quasibrittle materials under impact, a coupled rate-dependent damage and plasticity model is developed within the thermodynamics framework. Due to the simplicity in model formulation, a continuum tangent stiffness tensor could be obtained for discontinuous bifurcation analysis, and the model parameters could be calibrated from split Hopkins pressure bar experimental data available. The coupled rate-dependent model could describe not only the pressure-dependent hardening/softening response but also the degradation of material stiffness under impact. A geometric criterion with a corresponding solution scheme is presented to explore the rate-dependent transition from continuous to discontinuous failure modes in the Mohr coordinates. The uniaxial compressive loading path is considered to illustrate the loading rate effect on the critical localization orientation and hardening parameters. It appears from the preliminary results that the coupled rate-dependent local continuum model might be combined with a decohesion model via discontinuous bifurcation analysis so that large-scale simulation of failure evolution could be performed without invoking higher-order spatial terms in the stress-strain space.
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Acknowledgments
This research was partially supported by NSF and AFRL. The paper is based in part on the first writer’s Ph.D. dissertation. The writers are also grateful to the reviewers for discerning comments on this paper.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 133 • Issue 9 • September 2007
Pages: 970 - 980
Copyright
© 2007 ASCE.
History
Received: Jun 10, 2004
Accepted: Mar 8, 2007
Published online: Sep 1, 2007
Published in print: Sep 2007
Notes
Note. Associate Editor: Majid T. Manzari
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