In this work, a finite element formulation for size dependent frame system is presented. Size dependency discussed via the modified couple stress theory. The nodal displacement and rotation analyses of with total three elements, including two columns one beam connecting these columns, are considered. classical stiffness matrices derived. Then, solution procedure problem explained. Lastly, numer...

The flow of a couple stress fluid generated by performing longitudinal and torsional oscillations of a porous circular cylinder subjected to constant suction at the surface of the cylinder is studied. A finite difference method is proposed to analyze the velocity components, in an infinite expanse of an incompressible couple stress fluid under vanishing couple stresses of type A condition or su...

This communication reconsiders and reorganises parts of existing knowledge that refers to Cosserat-type hyperelasticity formulations in a manner respects pays tribute the early development pattern couple-stress theory and, also, associates with it more recent findings relevant discoveries related certain type polar hyperelastic behaviour fibrous composites. It further shows these different bran...

Abstract It is well known that the conventional couple-stress theory leaves spherical part of indeterminate. This indeterminacy problem recently resolved for fibrous composites subjected to either small or large deformations and containing a single family fibres resistant in bending (Soldatos Math. Mech. Solids, 2021, https://doi.org/10.1177/10812865211061595 ). However, remains still unsolved ...

A general model of the equations of generalized thermoelasticity   for an infinite space weakened by a finite linear opening Mode-I crack is solving. The material is   homogeneous and has isotropic properties of elastic half space. The crack is subjected to prescribed temperature and stress distribution. The formulation is applied to generalized thermoelasticity theories, the Lord-Şhulman...

Microcontinuum field theories, including Micromorphic theory, Microstructure theory, Micropolar theory, Cosserat theory, nonlocal theory and couple stress theory, are the extensions of the classical field theories for the applications in microscopic space and time scales. They have been expected to overlap atomic model at microscale and encompass classical continuum mechanics at macroscale. Thi...

-Dislocation theory is used to invoke a strain gradient theory of rate independent plasticity. Hardening is assumed to result from the accumulation of both randomly stored and geometrically necessary dislocations. The density of the geometrically necessary dislocations scales with the gradient of plastic strain. A deformation theory of plasticity is introduced to represent in a phenomenological...

Recent works done by nano-engineers and nano-sciences about mechanical behavior of nano-plates including bending, buckling and vibration response were reviewed. The authors used non-classical elasticity theories to explain these behaviors of plate structures. Some of them employed Hamilton’s principle along with stain gradient theory, nonlocal theory, surface theory and couple stress theory to ...

This paper addresses the combined effects of couple stresses, thermal radiation, viscous dissipation and slip condition on a free convective flow of a couple stress fluid induced by a vertical stretching sheet. The Cogley- Vincenti-Gilles equilibrium model is employed to include the effects of thermal radiation in the study. The governing boundary layer equations are transformed into a system o...