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...