4.7 Article

Thermodynamics of fractional-order nonlocal continua and its application to the thermoelastic response of beams

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Summary: This study presents a comprehensive investigation on the postbuckling response of nonlocal structures using a frame-invariant fractional-order continuum theory, allowing for nonlinear buckling and postbifurcation analyses. The use of fractional calculus facilitates the development of integral-type constitutive models that enable consistent mathematical, physical, and thermodynamic representations. The application of Koiter's asymptotic method to study postbifurcation branches of nonlocal structures is also introduced in this study.

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