Abstract In this contribution, a finite element implementation of the stress gradient theory is proposed. The relies on reformulation governing set partial differential equations in terms one primary tensor-valued field variable third order, so-called generalised displacement field. Whereas volumetric part closely related to classic field, deviatoric can be interpreted micro-displacements. asso...

Single-walled carbon nanotubes (SWCNTs) in an elastic medium under a longitudinal magnetic field have piqued the interest of researchers as elements utilized nanoelectro-magneto-mechanical systems (NEMMS). This work presents vibration analysis embedded SWCNTs using nonlocal second-order strain gradient elasticity theory. Considering surface effect, characteristic equation motion for SWCNT polym...

H.M. Shodja,* K.M. Davoudi and M.Yu. Gutkin Department of Civil Engineering, Center of Excellence in Structures and Earthquake Engineering, Sharif University of Technology, 11155-9313 Tehran, Iran Institute for Nanoscience and Nanotechnology, Sharif University of Technology, 11155-9161 Tehran, Iran Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Bolshoj 61, Vasil’e...

Analytical method for the second-order homogenization of two-phase composites within Mindlin–Toupin strain gradient elasticity theory is proposed. Direct approach and self-consistent approximation are used to reduce problem determination averaged Cauchy stresses, double stresses static moments inside inclusions under prescribed quadratic boundary conditions. The ellipsoidal shape orthotropic pr...