62 Abstract In this paper, a new analytical technique to study the effect of wide-spread fatigue damage in ductile panels is presented. The main purpose of the study is to develop an efficient methodology to predict the maximum load carrying capacity of panels with cracks. The problem arises especially in the fuselage skin of aging airplanes, in which cracks initiate from a row of rivet holes. ...

Effects of the uniform transverse magnetic field on the transient free convective flows of a nanofluid with generalized thermal transport between two vertical parallel plates have been analyzed. The fluid temperature is described by a time-fractional differential equation with Caputo derivatives. Closed form of the temperature field is obtained by using the Laplace transform and fractional deri...

We propose an analytical framework to model the effect of single and multiple mechanical surface oscillators on dynamics vertically polarized elastic waves propagating in a semi-infinite medium. The formulation extends canonical Lamb's problem, originally developed obtain wavefield induced by harmonic line source half-space, scenario where finite cluster vertical is attached medium surface. In ...

Electro-magneto-thermo-elastic response of a thick double-layered cylinder made from a homogeneous interlayer and a functionally graded piezoelectric material (FGPM) outer layer is investigated. Material properties of the FGPM layer vary along radius based on the power law distribution. The vessel is subjected to an internal pressure, an induced electric potential, a uniform magnetic field and ...

The double impulse is introduced as a substitute of the fling-step near-fault ground motion and a critical elastic–plastic response of a two-degree-of-freedom (2DOF) building structure under the “critical double impulse” is evaluated. Since only the free-vibration appears under such double impulse, the energy balance approach plays an important and essential role in the derivation of the soluti...

Various methods for calculating the capacitance of unloaded rolling elements are compared to improve electric characterization element bearings. Semi-analytical approximations and finite simulations applied a closed-form analytical two-dimensional solution is derived comparison. The results show that most common semi-analytical approximation, which uses effective radii express contact geometry,...

Based on the differential transformation method, a semi-analytical solution is developed for free vibration and modal stress analyses of variable thickness two-directional functionally graded circular plates with restrained edges, resting on elastic foundations. Variations of the material and geometry parameters are monitored by five distinct exponential functions. The presented non-dimensional...

In this paper, the classical JKR theory of the adhesive contact of isotropic elastic spheres is extended to consider the effect of anisotropic elasticity. The contact area will then generally be non-circular, but in many cases it can reasonably be approximated by an ellipse whose dimensions are determined by imposing the energy release rate criterion at the ends of the major and minor axes. Ana...