Higher order gradient continuum theories have often been proposed as models for solids that exhibit localization of deformation (in the form of shear bands) at sufficiently high levels of strain. These models incorporate a length scale for the localized deformation zone and are either postulated or justified from micromechanical considerations. Of interest here is the consistent derivation of s...

This paper presents the governing equations and analytical solutions of classical shear deformation theories functionally graded axisymmetric circular plates. The classical, first-order, third-order are presented, accounting for through-thickness variation two-constituent material, modified couple stress effect, von Kármán nonlinearity. Analytical bending linear theories, some which not readily...

The investigation aims at: (i) constructing a modified higher-order shear deformation theory in which Kirchhoff's hypotheses are relaxed, to allow for shear deformations; (ii) validating the present 5-parameter-smeared-laminate theory by comparing the results with exact solutions; and (iii) applying the theory to a specific problem of the postbuckling behavior of a flat stiffened fiber-reinforc...

dehbid mylonite nappes associated with the tutak gneiss dome as the zagros hinterland involved-basement window in the zagros orogenic belt has significant components of dextral sense of shear along the mylonite nappes and are related to the high proportion of simple shear relative to pure shear deformation. kinematic vorticity analysis (wk) was made in order to determination of relative amounts...

This study presents a novel approach for addressing dynamical characteristics of fluid conveying axially functionally graded pipes. The variation material properties the pipe along axial direction is taken into account according to power-law function. Owing unified expression displacement field, developed model can be recast classical Euler – Bernoulli and Timoshenko tube models as well newly h...