Correction to: A damage phase-field model for fractional viscoelastic materials in finite strain

Fractional-order Spectra for Complex Viscoelastic Materials

Recently much of the research has been dedicated to the application of fractional calculus in rheology. In this paper fractional-order spectra are presented for the complex viscoelastic materials, which mechanical analogy are constructed by fractional elements connected in series or parallel. Fractional-order spectra connect directly to the material’s constitutive relation with fractional deriv...

Vibration of FG viscoelastic nanobeams due to a periodic heat flux via fractional derivative model

In this work, the vibrations of viscoelastic functionally graded Euler–Bernoulli nanostructure beams are investigated using the fractional-order calculus. It is assumed that the functionally graded nanobeam (FGN) is due to a periodic heat flux. FGN can be considered as nonhomogenous composite structures; with continuous structural changes along the thick- ness of the nanobeam usually, it change...

Thermo-Viscoelastic Interaction Subjected to Fractional Fourier law with Three-Phase-Lag Effects

In this paper, a new mathematical model of a Kelvin-Voigt type thermo-visco-elastic, infinite thermally conducting medium has been considered in the context of a new consideration of heat conduction having a non-local fractional order due to the presence of periodically varying heat sources. Three-phase-lag thermoelastic model, Green Naghdi models II and III (i.e., the models which predicts the...

Model of fatigue damage in strain-rate-sensitive composite materials

Damage Assessment in Thin Materials: Finite Element Investigation Damage Assessment in Thin Materials: Finite Element Investigation

This thesis describes the process of detection, and if possible, also localization of the damage in non structural sheet-like materials. Simulation and analysis is carried out in ABAQUS with a FE model that has the same dynamic characteristics as the corresponding real material. Three types of damage forms are investigated: crack, hole and local weakness. Results presented in the report show th...