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Plasticity with generalized hardening: constitutive modeling and computational aspects

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Abstract

In this work, an extended theory of plasticity with generalized hardening is proposed to describe the response of geomaterials under both mechanical and environmental processes, which include as special cases several elastoplastic constitutive equations proposed in the literature to model such processes as desaturation or suction hardening, thermal softening, chemo-mechanical coupling effects in fine-grained soils, as well as weathering of soft rocks. In the formulation of the theory, the coupling between mechanical and environmental processes takes place at two levels: first, as an additional direct contribution to the constitutive stress changes, taking place in both elastic and elastoplastic processes; and second, as a result of the evolution of the internal state variables induced by changes in the environmental process variables. This last effect is incorporated through a set of generalized hardening rules. As an example of application, the general formulation is specialized to the particular case of weak calcarenite rocks undergoing degradation processes due to plastic deformations, changes in degree of saturation (short-term debonding) and chemical dissolution of the bond material and the solid grains (long-term debonding). The resulting model is implemented in a FE code by means of an implicit generalized backward Euler algorithm, suitably modified to incorporate the full formalism of plasticity with generalized hardening. Results of numerical simulations carried out at the element level show the accuracy and efficiency properties of the proposed stress-point algorithm. The simulation of a representative initial-boundary value problem demonstrates the practical relevance of environmental degradation effects in practical applications, over periods of time comparable with the life cycle of most geotechnical structures.

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Acknowledgments

The authors would like to warmly acknowledge the fundamental role played by their mentor and friend Roberto Nova in inspiring this work. The authors would like to thank Claudio di Prisco and Riccardo Castellanza for many fruitful discussions and José Antonio Fernandez–Merodo for the support provided with the FE code GeHoMadrid. The financial support of the Project “PRIN 2010–2011” is also gratefully acknowledged.

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Authors and Affiliations

  1. University of Perugia, Perugia, Italy

    Claudio Tamagnini

  2. Department of Civil and Environmental Engineering, Imperial College, London, UK

    Matteo O. Ciantia

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  1. Claudio Tamagnini
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  2. Matteo O. Ciantia
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Correspondence to Claudio Tamagnini.

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Tamagnini, C., Ciantia, M.O. Plasticity with generalized hardening: constitutive modeling and computational aspects. Acta Geotech. 11, 595–623 (2016). https://doi.org/10.1007/s11440-016-0438-8

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  • DOI: https://doi.org/10.1007/s11440-016-0438-8

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