Abstract Background Soft, biological, and bio-inspired materials are often compositionally heterogeneous structurally anisotropic, they frequently feature graded or layered organizations. This design complexity enables exceptional ranges in properties performance yet complicates a fundamental understanding of the contact mechanics. Recent studies soft gel layers have relied on Hertzian Winkler ...

Mechanical foundations and pavements design need a perfect prediction of the response of the material to reach a reliable and safe structure. This work deals with the thermoelastic response of microbeams rested on a two-parameter viscoelastic foundation due to a magnetic field in the context of the dual - phase lag thermoelasticity model. The solutions of the governing equations are attained us...

 In the present paper damped vibrations of non-homogeneous infinite rectangular plate of parabolically varying thickness resting on elastic foundation has been studied. Following Lévy approach, the equation of motion of plate of varying thickness in one direction is solved by quintic spline method. The effect of damping, elastic foundation and taperness is discussed with permissible range of pa...

The aim of this study is to investigatethe effective parameters on vibrations of circular cylindrical shells with fixed rotary speed andresting elastic foundation by means of analytical and finite element numerical simulation. First, the governing equations are derived using the theory of Donnell, considering the centrifugal forces,Coriolis acceleration, and the initial annular tension. Then, t...

In this article, a semi-analytical solution is provided to investigate the free vibration characteristics of rotating truncated conical shells surrounded by Winkler–Pasternak type foundation. It assumed that material shell composed epoxy as matrix and graphene nanoplatelets (GPLs) reinforcement dispersed in both thickness length directions shell. The modeled based on first-order shear deformati...