The nonlinear bending behavior of sector graphene sheets is studied subjected to uniform transverse loads resting on a Winkler-Pasternak elastic foundation using the nonlocal elasticity theory. Considering the nonlocal differential constitutive relations of Eringen theory based on first order shear deformation theory and using the von-Karman strain field, the equilibrium partial differential eq...

A study is presented of the axially symmetric deformation of a non-homogeneous elastic halfspace subjected to torsional shear tractions that are linearly distributed over a circular portion of the otherwise free surface. The problem is formulated in terms of Hankel integral transforms and an inverse procedure is implemented in which the determination of the type of non-homogeneity constitutes p...

In this paper, the bending waves propagating along the edge of a semi-infinite Kirchhoff plate resting on a two-parameter Pasternak elastic foundation are studied. Two geometries of the foundation are considered: either it is infinite or it is semi-infinite with the edges of the plate and of the foundation coinciding. Dispersion relations along with phase and group velocity expressions are obta...

The dynamic model of a drill in drilling process was proposed and investigated in this study. To assure a good drilling quality, the vibration variation on the drill tips during high speed drilling is needed to be investigated. A pre-twisted beam is used to simulate the drill. The moving Winkler-Type elastic foundation is used to characterize the tip boundary variation in drilling. Due to the v...

The article focuses on the deformation and strain-stress analysis of Earth’s crust under external thermal loading. More specifically, influence cyclic changes in surface temperature field stress displacement inside over a two-year time span is investigated. finite element program MSC.Marc Mentat was used to calculate stresses displacements. For practical reasons, simplified as planar, piecewise...

An original approach for mechanical characterization was developed using indentation assisted micro-bending. Aiming at the reliable measurement of elastic modulus multi-scale solids, technique relies on deflection measurements cantilever-type beams modeled within framework foundation. The inference is carried out by postulating inverse problem and solving it via error minimization approach. val...

The free transverse vibrations of two-dimensional functionally graded double Euler–Bernoulli beam system connected through a variable Winkler elastic layer are presented. Modulus elasticity and the density material beams assumed to vary along thickness length according power-law exponential functions, respectively. governing differential equations motion established by means Hamilton’s principl...