Konu "Elasticity" için FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics listeleme
Toplam kayıt 21, listelenen: 1-20
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Amplitude modulation of nonlinear waves in a fluid-filled tapered elastic tube
(Elsevier Science Inc, 2004-07-15)In the present work, treating the arteries as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the reductive perturbation method, we have studied the amplitude modulation of nonlinear ... -
Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations
(Academic Press Inc Elsevier Science, 2011-02-01)We study the initial-value problem for a general class of nonlinear nonlocal coupled wave equations. The problem involves convolution operators with kernel functions whose Fourier transforms are nonnegative. Some well-known ... -
The boundary layer approximation and nonlinear waves in elastic tubes
(Pergamon-Elsevier Science, 2000-09)In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and approximate equations of an incompressible viscous fluid, the propagation of weakly nonlinear waves is examined. ... -
Contributions of higher order terms to nonlinear waves in fluid-filled elastic tubes: strongly dispersive case
(Pergamon-Elsevier Science, 2003-07)In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid, and then utilizing the modified reductive ... -
Dynamic extension of a compressible nonlinearly elastic membrane tube
(Oxford Univ Press, 2005-02)The dynamic response of an isotropic compressible hyperelastic membrane tube is considered when one end is fixed and the other is subjected to a suddenly applied dynamic extension. The equations governing dynamic axially ... -
The dynamic response of an incompressible non-linearly elastic membrane tube subjected to a dynamic extension
(Pergamon-Elsevier Science Ltd, 2004-06)The dynamic response of an isotropic hyperelastic membrane tube, subjected to a dynamic extension at its one end, is studied. In the first part of the paper, an asymptotic expansion technique is used to derive a non-linear ... -
The effect of a bump on wave propagation in a fluid-filled elastic tube
(Pergamon-Elsevier Science Ltd., 2004-01)In the present work, treating the arteries as a thin walled prestressed elastic tube with variable cross-section, and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in such a ... -
Eshelby tensors for a spherical inclusion in microstretch elastic fields
(Elsevier Ltd, 2006-08)In the present work, microelastic and macroelastic fields are presented for the case of spherical inclusions embedded in an infinite microstretch material using the concept of Green's functions. The Eshelby tensors are ... -
Head-on collision of solitary waves in fluid-filled elastic tubes
(Pergamon-Elsevier Science Ltd, 2005-08)In this work, treating the arteries as a thin walled, prestressed thin elastic tube and the blood as an inviscid fluid, we have studied the propagation of nonlinear waves, in the longwave approximation, through the use of ... -
A Higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity
(Oxford Univ Press, 2009-02)In one space dimension, a non-local elastic model is based on a single integral law, giving the stress when the strain is known at all spatial points. In this study, we first derive a higher-order Boussinesq equation using ... -
Interactions of nonlinear acoustic waves in a fluid-filled elastic tube
(Pergamon-Elsevier Science, 2001-03)In the present work, the nonlinear interactions of two acoustical waves propagating in a fluid-filled elastic tube with different wave numbers, frequencies and group velocities are examined. Employing the multiple-scale ... -
Localized travelling waves in a prestressed thick elastic tube
(Pergamon-Elsevier Science, 2001-10)In the present work, by using the exact non-linear equations of an incompressible inviscid fluid contained in a prestressed thick elastic tube, the propagation of localized travelling wave solution in such a medium is ... -
Modulation of nonlinear waves near the marginal state of instability in fluid-filled elastic tubes
(Elsevier Inc, 2004-02-05)Using the nonlinear differential equations governing the motion of a fluid-filled and prestressed long thin elastic tube, the propagation of nonlinear waves-near the marginal state is examined through the use of reductive ... -
Nonlinear wave modulation in a fluid-filled linearly tapered elastic tube
(Gauthier-Villars/Editions Elsevier, 2003-08)In the present work, treating the arteries as a thin-walled, linearly tapered, prestressed elastic tube and using the reductive perturbation method, we have studied the amplitude modulation of nonlinear waves in such a ... -
Nonlinear waves in a prestressed elastic tube filled with a layered fluid
(Pergamon-Elsevier Science, 2002-04)In this work, we studied the propagation of weakly nonlinear waves in a prestressed thin elastic tube filled with an incompressible layered fluid, where the outer layer is assumed to be inviscid whereas the cylindrical ... -
On travelling wave solutions of a generalized Davey-Stewartson system
(Oxford Univ Press, 2005-02)The generalized Davey-Stewartson (GDS) equations, as derived by Babaoglu & Erbay (2004, Int. J. Non-Linear Mech., 39, 941-949), is a system of three coupled equations in (2 + 1) dimensions modelling wave propagation in an ... -
Reflection and transmission of nonlinear waves from arterial branching
(Elsevier Ltd, 2006-10)In this work, treating the arteries as a prestressed thin walled elastic tube and the blood as an inviscid fluid, we have studied the reflection and transmission of nonlinear waves from arterial branching, through the use ... -
Solitary waves in a fluid-filled thin elastic tube with variable cross-section
(Elsevier B.V., 2007-08)The present work treats the arteries as a thin walled prestressed elastic tube with variable cross-section and uses the longwave approximation to study the propagation of weakly nonlinear waves in such a fluid-filled elastic ... -
Solitary waves in fluid-filled elastic tubes: weakly dispersive case
(Pergamon-Elsevier Science, 2001-03)In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid, the propagation of weakly nonlinear waves, in ... -
Two-dimensional wave packets in an elastic solid with couple stresses
(Pergamon-Elsevier Science Ltd, 2004-08)The problem of (2+1) (two spatial and one temporal) dimensional wave propagation in a bulk medium composed of an elastic material with couple stresses is considered. The aim is to derive (2+1) non-linear model equations ...