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Plastic Dissipation of the Fractional Plasticity using Modified Cam-Clay Yielding Function

Published online by Cambridge University Press:  17 January 2020

P. Tai  and
Y. Sun Open the ORCID record for Y. Sun [Opens in a new window]
P. Tai
Affiliation:
Department of Civil and Environmental Engineering, Hong Kong University of Science and Technology, Hong Kong
Y. Sun*
Affiliation:
Faculty of Civil and Environmental Engineering, Ruhr-Universität Bochum, Bochum, Germany
*
*Corresponding author ([email protected]; [email protected])
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Abstract

Soils usually exhibit state-dependent frictional behaviour that undergoes plastic volumetric deformation. To correctly capture such response under the framework of classical plasticity, a non-associated flow rule using additional plastic potential is inevitably needed. Recently, a novel fractional plasticity (FP) without using plastic potential has been developed, and successfully applied in modelling the state-dependent nonassociated behaviour of soils. However, the energy dissipation characteristics of FP has not been probed in depth. This note examines the plastic dissipation behaviour of FP, when modelling the constitutive behaviour of soils. It is found that the plastic dissipation of FP increases continuously with the shear strain. However, the rate of plastic dissipation depends on the initial material state in relation to the critical state line.

Keywords

Fractional plasticityplastic dissipationstate dependence
Type
Technical Note
Information
Journal of Mechanics , Volume 36 , Issue 3 , June 2020 , pp. N1 - N7
Copyright
Copyright © 2020 The Society of Theoretical and Applied Mechanics

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References

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