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An inter-diffusion interface model (IDIM) is put forward for a bonded structure. Laplace and Fourier integral transforms are applied to reduce the transient anti-plane fracture problem of the structure as a Cauchy singular integral equation. Lobatto-Chebyshev collocation method and Laplace numerical inversion transform are employed to evaluate transient stress intensity factors (TSIFs). The effects...
A two-axis micro-lathe was developed in 1996 at the former Mechanical Engineering Laboratory in Tsukuba, Japan, for machining of small pieces as a part of the Micro-factory concept. Each axis is driven by a set of built-in PZT actuators. The work presented here concerns the design and implementation of a reference model control algorithm to improve the motion accuracy of the micro-lathe. The motion...
The solution to the unsteady mixed convection boundary layer flow and heat transfer problem due to a stretching vertical surface is presented in this paper. The unsteadiness in the flow and temperature fields is caused by the time-dependent of the stretching velocity and the surface temperature. The governing partial differential equations with three independent variables are first transformed into...
This paper studies the Mode III electric-elastic field of a cracked functionally graded piezoelectric strip bonded to a homogeneous piezoelectric half plane. The crack is oriented in arbitrary direction. The material properties of the strip vary along the strip thickness in exponential forms. By using the Fourier transform, the problem can be formulated to a system of singular integral equations and...
The interaction between a screw dislocation and a circular inhomogeneity in gradient elasticity is investigated. The screw dislocation is located inside either the inhomogeneity or the matrix. By using the Fourier transform method, closed analytical solutions are obtained when the inhomogeneity and the matrix have the same gradient coefficient. The explicit expressions of image forces exerted on screw...
A mathematical model will be analyzed in order to study the effects of variables viscosity and thermal conductivity on unsteady heat and mass transfer over a vertical wavy surface in the presence of magnetic field numerically by using a simple coordinate transformation to transform the complex wavy surface into a flat plate. The fluid viscosity is assumed to vary as a exponential function of temperature...
Heat transfer analysis has been presented for the boundary layer forced convective flow of an incompressible fluid past a plate embedded in a porous medium. The similarity solutions for the problem are obtained and the reduced nonlinear ordinary differential equations are solved numerically. In case of porous plate, fluid velocity increases for increasing values of suction parameter whereas due to...
Crack propagation and fatigue fracture is studied with an enriched meshless method. This method uses an intrinsic enrichment of the meshless weighting functions such that the correct crack kinematics can be described. The major advantage of the method is its simplicity, especially with respect to implementation. The method is applied to problems in elastostatics where analytical and experimental data...
In this study, teeth width modification on spur gears with low contact ratios is introduced. The modification essentially relies on maintaining constant Hertz surface pressure along single and double teeth profiles. With this aim, adjustments were made in tooth width along the single mesh area. It is intended that, with this modification, negative effects caused by high Hertz pressures along the single...
This paper discusses the problem of cross-section optimization of tower crane lattice boom. The trapezoid cross section has been analyzed. The triangular and rectangular cross sections have also been analyzed as special cases. Total mass of the construction has been selected as the objective function. Optimization parameters have been determined by Lagrange’s multipliers method. Criterion of stress...
An analysis and numerical results are presented for free transverse vibrations of non-homogeneous visco-elastic elliptic plate whose temperature and thickness spatial variations both are parabolic along a line through plate centre. The variation in density is assumed as parabolic along a line through plate centre, which raise non-homogeneity of the plate materials and make problem interesting as introducing...
Laminar two-dimensional stagnation flow of a viscous and electrically conducting fluid obliquely impinging on a flat plate in the presence of a uniform applied magnetic field is formulated as a similarity solution of the Navier-Stokes equations. The relative importance of this flow is measured by the dimensionless strain rate and magnetohydrodynamic parameters γ and M. The viscous problem is reduced...
The present work concerns with the multiple crack propagation along the interface of two bonded dissimilar strips. The crack faces are subjected to anti-plane shear traction. Galilean transformation is employed to reduce the problem to a quasi-static one. Then, using Fourier transforms and asymptotic analysis, the quasi-static problem is reduced to a pair of singular integral equations. That are solved...
Oscillatory MHD Couette flow of electrically conducting fluid between two parallel plates in a rotating system in the presence of an inclined magnetic field is considered when the upper plate is held at rest and the lower plate oscillates non-torsionally . An exact solution of the governing equations has been obtained by using Laplace transform technique. Asymptotic behavior of the solution is analyzed...
In this research, the bending analysis of an arched bridge is presented based on a mixed first-order thick beam one dimensional plate theory. The present arched bridge is considered as a beam with boundary conditions at its edges, which may be simply-supported, and between these two edges, the beam may have quadratic thickness variation. The bridge consists of two layers; the upper flat one is made...
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