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- W2554711457 abstract "A non-local fractional-order model for uniaxial large deformation and rate-dependent plastic behavior of materials in structural analysis is proposed. This approach is amenable to modeling nonlinear and more sophisticated effects namely visco-elasto-plastic response of materials. This approach seamlessly interpolates between the standard elasto-plastic and visco-plastic models in plasticity, taking into account the historydependency of the accumulated plastic strain to specify the state of stress. To this end, we propose a fractionalorder constitutive law that relates the Kirchhoff stress to the linear combination of the total strain and its Caputo time-fractional derivative of order ඃ烞∈[0,1). When ඃ烞=0 the standard elasto-plastic (rateindependent) model is obtained; when ඃ烞→1 the corresponding visco-plastic model is recovered. Since the material behavior is path-dependent the evolution of the plastic strain is achieved by integrating the plastic strain rate with respect to time. The strain rate is then obtained by means of the corresponding plastic multiplier and deriving proper consistency conditions. Finally, the nonlinear system of the equilibrium equations is solved employing the so-called return-mapping algorithm." @default.
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- W2554711457 date "2008-01-01" @default.
- W2554711457 modified "2023-09-24" @default.
- W2554711457 title "A Fractional-Order Uniaxial Visco-Elasto-Plastic Model for Structural Analysis" @default.
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- W2554711457 hasPublicationYear "2008" @default.
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