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Defect-Induced Transitions as Mechanisms of Plasticity and Failure in Multifield Continua

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Advances in Multifield Theories for Continua with Substructure

Abstract

The multifield statistical approach for the description of collective properties of mesodefect ensembles is developed to allow the determination of the specific nonlinear form of the evolution equation for the macroscopic tensor parameter of defect density. Characteristic self-similar solutions of this equation are found that describe the transition from damage to damage localization, strain localization, change of symmetry properties due to the generation of collective modes of mesodefects. This approach is applied to the study of stochastic crack dynamics, scaling effects in failure, the resonance excitation of failure (failure waves), the structure of plastic waves and instability in shocked condensed matter.

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Authors and Affiliations

  1. Institute of Continuous Media Mechanics, Urals Division, Russian Academy of Sciences, 614013, Perm, Russia

    O. B. Naimark

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  1. O. B. Naimark
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Editors and Affiliations

  1. Dipartimento di Matematica, UniversitĂ  di Pisa, 56127, Pisa, Italy

    Gianfranco Capriz

  2. Dipartimento di Ingegneria Strutturale e Geotecnica, Università di Roma “La Sapienza”, 00184, Roma, Italy

    Paolo Maria Mariano

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Naimark, O.B. (2004). Defect-Induced Transitions as Mechanisms of Plasticity and Failure in Multifield Continua. In: Capriz, G., Mariano, P.M. (eds) Advances in Multifield Theories for Continua with Substructure. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8158-6_4

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  • DOI: https://doi.org/10.1007/978-0-8176-8158-6_4

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6465-1

  • Online ISBN: 978-0-8176-8158-6

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