Published in Computational and Applied Mathematics
This work underlines the importance of the application of fractional-order derivative damping model in the modelling of the viscoelastic foundation, by demonstrating the effect of various orders of the fractional derivative on the dynamic response of plates resting on the viscoelastic foundation, subjected to concentrated step load. The foundation ...
Published in Journal of the mechanical behavior of biomedical materials
The generalized fractional Maxwell model, formulated for hyperelastic material within the framework of the nonlinear viscoelasticity with internal variables, is applied to identify viscoelastic constitutive equations from layer-specific experimental data obtained by uniaxial harmonic loading of ex-vivo human descending thoracic aortas. The constitu...
Published in Journal of the mechanical behavior of biomedical materials
Characterizing material properties of lung parenchyma is essential in order to describe and predict the mechanical behavior of the lung in health and disease. Hence, we aim to identify the viscoelastic constitutive behavior of viable lung parenchyma with a particular focus on the nonlinear, compressible, and frequency-dependent material properties....
Published in International Journal of Fracture
Rate-dependent fracture has been extensively studied using cohesive zone models (CZMs). Some of them use classical viscoelastic material models based on springs and dashpots. However, such viscoelastic models, characterized by relaxation functions with exponential decay, are inadequate to simulate fracture for a wide range of loading rates. To impr...
Published in Continuum Mechanics and Thermodynamics
This article is devoted to the micromechanical modelling of the time harmonic response of viscoelastic composites made of fractional Zener constituents. By extending previous results in classical viscoelasticity, new exact relations on time integrals of the effective relaxation spectrum are obtained. They are related to the intraphase second moment...
Published in Acta Mechanica
In this communication, we propose a nonlocal fractional viscoelastic model of a nanobeam resting on the fractional viscoelastic foundation and under the influence of the longitudinal magnetic field and arbitrary number of attached nanoparticles. Size effects are taken into account using the differential form of the nonlocal constitutive relation to...
Published in Meccanica
In this paper a three-dimensional isotropic fractional viscoelastic model is examined. It is shown that if different time scales for the volumetric and deviatoric components are assumed, the Poisson ratio is time varying function; in particular viscoelastic Poisson ratio may be obtained both increasing and decreasing with time. Moreover, it is show...
This thesis presents work on investigations into the mechanical properties of connective tissue. A model system of hydrogels was used to investigate how volume change through water flow is coupled to relaxation. This was done using digital image correlation (DIC) and a custom built setup. It was found, in hydrogels, that water loss is directly coup...
Published in Mechanics of Time-Dependent Materials
In order to reduce the computational expense, a Kriging surrogate model is developed as an approximation of a numerical model based on FEM (finite element method) and FDM (finite difference method) to solve direct fractional viscoelastic problems and then is combined with a gridding-partition-based continuous ant colony algorithm to identify consti...
Published in Bulletin of Earthquake Engineering
The ground acceleration is usually modeled as a filtered Gaussian process. The most common model is a Tajimi–Kanai (TK) filter that is a viscoelastic Kelvin–Voigt unit (a spring in parallel with a dashpot) carrying a mass excited by a white noise (acceleration at the bedrock). Based upon the observation that every real material exhibits a power law...
