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This article investigates the differences between the Aifantis and Gurtin-Anand strain gradient plasticity. The fact that Gurtin-Anand strain gradient plasticity is richer than the Aifantis strain gradient plasticity provides a basis for which we could derive equivalent Aifantis flow rule and extend it to accommodate scalar dissipative hardening. It was found that the major difference between the Gurtin-Anand and Aifantis theories lies on the use of the codirectionality hypothesis and constraint imposed on the gradient of the flow direction.

A gradient theory based on the Aifantis theory using the Gurtin-Anand strain gradient plasticity approach