Jorge L. Suzuki

TL;DR: In this paper, the authors propose two fractional-order models for uniaxial large strains and visco-elasto-plastic behavior of materials in structural analysis.

TL;DR: In this article, the authors developed a thermodynamically consistent, fractional visco-elasto-plastic model coupled with damage for anomalous materials, where the constitutive equations are obtained through Helmholtz free-energy potentials for Scott-Blair elements, together with a memory-dependent fractional yield function and dissipation inequalities.

TL;DR: In this article, the authors developed two efficient first and second-order implicit-explicit (IMEX) methods for accurate time-integration of stiff/nonlinear fractional differential equations with fractional order α ∈ ( 0, 1 ] and proved their convergence and linear stability properties.

TL;DR: The extended Hamilton principle is utilized to derive the governing equation of motion for specific material distribution functions that lead to fractional Kelvin-Voigt viscoelastic model by spectral decomposition in space, and the resulting governing fractional PDE reduces to nonlinear time-fractional ODEs.

TL;DR: In this article, the vibration of a fractional, geometrically nonlinear viscoelastic cantilever beam, under base excitation and free vibration, is studied.