A novel high-order accurate approach to the analysis of beam structures with bulk and thin-
walled cross-sections is presented. The approach is based on the use of a variable-order …

Eringen's nonlocal theory has been widely used for the study of micro-and nano-structures
exhibiting size effect phenomena. Eringen's nonlocal differential constitutive equation has …

The strain gradient elasticity theory (SGET) introduces the microstructure to the constitutive
equations to explain the material size effects. The constitutive equations of the SGET appear …

The engineering applications of the innovative materials, such as carbon nanotubes (CNTs)
and graphene sheets, constitute a developing branch of the modern science. CNTs, in …

This work investigates the eigenfrequencies of a carbon nanotube (CNT), simulated as a
gradient Rayleigh beam, to explore the effect of the macro-inertia dynamical terms in the …

The requirement of studying the unsolved problems of continuum mechanics in the context
of micro-and nano-dimensions imperatively arose during the second half of the 20th century …

This work explores the application of a polyhedral finite element method, the Partitioned
Element Method (PEM), to explicit dynamics. The PEM can handle elements that can take …

This research objective revolves around a posteriori error analysis for the symmetric interior
penalty discontinuous Galerkin finite element method (IPDGFEM) of a Kirchhoff-Love …