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Material forces in finite elasto-plasticity with continuously distributed dislocations

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Book cover Defect and Material Mechanics

Abstract

In this paper we propose a thermodynamically consistent model for elasto-plastic material with structural inhomogeneities such as dislocations, subjected to large deformations, in isothermal processes. The plastic measure of deformation is represented by a pair of plastic distortion, and plastic connection with non-zero torsion (in order to have the non-zero Burgers vector). The developments are focused on the balance equations (for material forces and for physical force system), derived from an appropriate principle of the virtual power formulated within the constitutive framework of finite elasto-plasticity and on constitutive restrictions imposed by the free energy imbalance. The presence of the material forces (microforce and microstress momentum) is a key point in the exposure, and viscoplastic (generally rate dependent) constitutive representation are derived.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, University of Bucharest, str. Academiei nr. 14, 010014, Bucharest, Romania

    Sanda Cleja-Ţigoiu

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  1. Sanda Cleja-Ţigoiu
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Correspondence to Sanda Cleja-Ţigoiu .

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Editors and Affiliations

  1. University J. Fourier, Grenoble, France

    Cristian Dascalu

  2. University Pierre et Marie Curie, Paris, France

    Gérard A. Maugin

  3. Ecole Polytechnique, Palaiseau, France

    Claude Stolz

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Cleja-Ţigoiu, S. (2007). Material forces in finite elasto-plasticity with continuously distributed dislocations. In: Dascalu, C., Maugin, G.A., Stolz, C. (eds) Defect and Material Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6929-1_8

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  • DOI: https://doi.org/10.1007/978-1-4020-6929-1_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-6928-4

  • Online ISBN: 978-1-4020-6929-1

  • eBook Packages: EngineeringEngineering (R0)

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