نتایج جستجو برای: elastic half plane

تعداد نتایج: 368698  

ژورنال: پژوهش های ریاضی 2019

Introduction In this paper, we intend to show that without any certain growth condition on the weight function, we always able to present a weighted sup-norm on the upper half plane in terms of weighted sup-norm on the unit disc and supremum of holomorphic functions on the certain lines in the upper half plane. Material and methods We use a certain transform between the unit dick and the uppe...

2005
N. C. TSAI G. W. HOUSNER

A new method is presented for computing the transient response of a set of horizontally stratified, linearly elastic layers overlying a uniform half-space and excited by vertically incident, transient plane waves. In addition, a simple approximate method of satisfactory accuracy is developed that reduces the computing time required. Calculated responses are compared with motions recorded under ...

2016
Sutapa Santra

Abstract The reflection and refraction due to generalized thermoelastic incident Pand SVwaves at a plane interface between two dissimilar half spaces of visco-thermoelasitic materials have been investigated. Magnitude of coefficient ratios for both the cases of Pand SVwaves have been found out. Several graphs have been drawn to study the nature of variation of the amplitude ratios when the angl...

This research presents, buckling and free vibration analysis of fiber metal-laminated (FML) plates on a total and partial elastic foundation using the generalized differential quadrature method (GDQM). The partial foundation consists of multi-section Winkler and Pasternak type elastic foundation. Taking into consideration the first-order shear deformation theory (FSDT), FML plate is modeled and...

Fatemeh Farhatnia, Saeid Rasouli Jazi Somayeh Abbasi

In this paper, the effect of elastic foundation on the out of plane displacement of functionally graded circular plates using differential transform method is presented. Differential transform method is a semi-analytical-numerical solution technique that is capable to solve various types of differential equations. Using this method, governing differential equations are transformed into recursiv...

Journal: :SIAM J. Numerical Analysis 2014
Kenneth Duru Gunilla Kreiss

We study the stability of the perfectly matched layer (PML) as a closure for the system of second order elastic wave equations in two space dimensions on the upper half–plane, −∞ < x < ∞, y ≥ 0. Using mode analysis, we analyze the stability of the PML initial boundary value problem on the half–plane. We consider in particular the free surface and Dirichlet boundary conditions, but the analysis ...

An approximation technique is considered for computing transmission and reflection coefficients for propagation of an elastic pulse through a planar slab of finite width. The propagation of elastic pulse through a planar slab is derived from first principles using straightforward time-dependent method. The paper ends with calculations of enhancement factor for the elastic plane wave and it is s...

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