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An extension of Rice localization criterion to predict the onset of shear localization in semi-solid materials

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Abstract

Semi-solid materials undergo strain localization and shear band formation as a result of the irregular (local) rearrangement of globular particles. Concerning the formation of a solid network, a granular constitutive relation was developed to incorporate the deformation of solid bonds, as well as solid grains, volumetric strain and the internal friction between solid grains. Considering the fact that the occurrence of instability in viscoplastic materials can be determined by applying the rate-independent stability criterion, as developed in Pan’s analysis of strain localization in rate-sensitive materials, a proper criterion for the assessment of localization phenomenon during the mushy state deformation was proposed. Calculating the critical hardening modulus reveals that the localization in semi-solid materials is induced by flow softening. The flow localization predicted by the presented model was fairly well correlated with the experimental results.

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  1. Faculty of Materials Science and Engineering, K.N. Toosi University of Technology, Tehran, 1999143344, Iran

    M. H. Sheikh-Ansari & M. Aghaie-Khafri

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Sheikh-Ansari, M.H., Aghaie-Khafri, M. An extension of Rice localization criterion to predict the onset of shear localization in semi-solid materials. Int J Mater Form 12, 703–716 (2019). https://doi.org/10.1007/s12289-018-1445-0

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