A nonlocal theory for thermoelastic materials with voids based on Mindlin’s strain gradient was derived in this paper some qualitative properties. We have also established the size effect of heat conduction aids extended irreversible thermodynamics and generalized free energy. The obtained system equations is a coupling three higher gradients terms due to length scale parameters ϖ l . This pose...

Experiments show that vacancies in solids may coalesce into voids and self-organize into a superlattice. The voids have diameters around 10 nm and spacing of tens of nanometers. This paper develops a phase-field model to study this behavior, which incorporates the free energy of mixing, interfacial energy and elastic energy. Vacancy diffusion is described by a Cahn–Hilliard type nonlinear diffu...

This paper presents a nonlinear model of a clamped-clamped microbeam actuated by an electrostatic load with stretching and thermoelastic effects. The frequency of free vibration is calculated by discretization based on the Differential Quadrature (DQ) Method. The frequency is a complex value due to the thermoelastic effect that dissipates energy. By separating the real and imaginary parts of fr...

The present investigation deals with study of thermoelastic damping and frequency shift of Kirchhoff plate resonators by using generalized thermoelasticity theory of dual-phase-lag model. The basic equations of motion and heat conduction equation are written with the help of Kirchhoff-Love plate theory and dual phase lag model. The analytical expressions for thermoelastic damping and frequency ...

Besides x-ray fluorescence (XRF) and transition electron microscopy (TEM), 3-dimensional focused ion beam (3D-FIB) combined with scanning electron microscopy (SEM) is an additional method to investigate the transition metal distribution in crystalline silicon material leading to additional information on the 3D shape, size and distribution of precipitates. The 3D-FIB method has been used to inv...

Au nano-clusters and nanoparticles (NPs) have been widely utilized in various electronic, optoelectronic, and bio-medical applications due to their great potentials. The size, density and configuration of Au NPs play a vital role in the performance of these devices. In this paper, we present a systematic study on the self-assembled hexagonal Au voids, nano-clusters and NPs fabricated on GaN (00...

Carbon fiber-reinforced plastic (CFRP) is widely used for structural members of transportation vehicles such as automobile, aircraft, or spacecraft, utilizing its excellent specific strength and specific rigidity in contrast with the metal. Short carbon fiber composite materials are receiving a lot of attentions because of their excellent moldability and productivity, however they show complica...

The evolution of a surface intersected by transgranular (TG) and intergranular (IG) edge voids under isotropic surface diffusion and electric field effects is simulated numerically under both mass-conserving and non-mass-conserving boundary conditions. A surprising similarity is found in the surface topology of transgranular voids between our non-mass-conserving model and Schimschak and Krug’s ...