Abstract This paper presents an investigation of the dynamic behavior bi-directionally functionally graded (BDFG) micro/nanobeams excited by a moving harmonic load. The formulation is established in context surface elasticity theory and modified couple stress to incorporate effects energy microstructure, respectively. Based on generalized parabolic shear deformation beam theory, nonclassical go...

The free transverse vibrations of two-dimensional functionally graded double Euler–Bernoulli beam system connected through a variable Winkler elastic layer are presented. Modulus elasticity and the density material beams assumed to vary along thickness length according power-law exponential functions, respectively. governing differential equations motion established by means Hamilton’s principl...

The initiation and propagation of adiabatic shear bands (ASBs) in functionally graded materials (FGMs) deformed at high strain rates in plane-strain tension have been studied. An ASB is a narrow region, usually a few micrometers wide, of intense plastic deformation that forms after softening of the material due to its being heated up and the evolution of damage in the form of porosity has overc...

An overview of the achievements of the German priority program “Functionally Graded Materials (FGM)” in the field of processing techniques is given. Established powder processes and techniques involving metal melts are described, and recent developments in the field of graded polymer processing are considered. The importance of modeling of gradient formation, sintering and drying for the produc...

A fundamental solution (or Green’s function) is a singular solution of a governing partial differential equation (PDE). They can be constructed easily when the PDE has constant coefficients. They are useful for reducing boundary-value problems to boundary integral equations (BIEs). We begin by describing simple properties of fundamental solutions, and then comment on the use and construction of...