Yazar "Erbaş, Barış" için listeleme
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3-dimensional moving load problems for elastic and coated elastic half-spaces
Şahin, Onur (Anadolu Üniversitesi, 2016)This study deals with 3-dimensional analysis of a point load moving at a constant speed along the surface of elastic and coated elastic half-spaces. Formulation of the problems is based on the framework of an asymptotic ... -
Approximate Analysis of Surface Wave-Structure Interaction
Ege, Nihal; Erbaş, Barış; Kaplunov, Julius; Wootton, Peter (Mathematical Science Publ, 2018)Surface wave-structure interaction is studied starting from a specialised approximate formulation involving a hyperbolic equation for the Rayleigh wave along with pseudostatic elliptic equations over the interior of an ... -
Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate
Prikazchikova, L.; Ece, Aydın, Y.; Erbaş, Barış; Kaplunov, Julius (SAGE Publications Inc., 2018)Anti-plane dynamic shear of a strongly inhomogeneous dynamic laminate with traction-free faces is analysed. Two types of contrast are considered, including those for composite structures with thick or thin stiff outer ... -
An asymptotic model for the stoneley interfacial waves
Bozdağ, Hacer (Anadolu Üniversitesi, 2015)Bu master tezi, dinamik ortamlarda Stoneley dalgasının katkısını hesaplamada kullanılan asimptotik modeli elde edebilmek için arayüz dalgaları ile çalışılmıştır. Bu arayüz dalgaları yükler tarafından uyarılmış veya üzerinde ... -
Composite wave models for elastic plates
Erbaş, Barış; Kaplunov, Julius; Nolde, Evgeniya; Palsu, Melike (Royal Soc, 2018)The long-term challenge of formulating an asymptotically motivated wave theory for elastic plates is addressed. Composite two-dimensional models merging the leading or higher-order parabolic equations for plate bending and ... -
Exp-function method for constructing exact solutions of Sharma-Tasso-Olver equation
Erbaş, Barış; Yusufoğlu, Elçin (Pergamon-Elsevier Science LTD, 2009)In this paper we use the Exp-function method for the analytic treatment of Sharma-Tasso-Olver equation. New solitonary solutions are formally derived. Change of parameters, which drastically changes the characteristics of ... -
He's variational iteration method applied to the solution of the prey and predator problem with variable coefficients
Yusufoğlu, Elçin; Erbaş, Barış (Elsevier Science BV, 2008)In this Letter, a mathematical model of the problem of prey and predator is presented and He's variational iteration method is employed to compute an approximation to the solution of the system of nonlinear differential ... -
The near-resonant regimes of a moving load in a three-dimensional problem for a coated elastic half-space
Erbaş, Barış; Kaplunov, Julius; Prikazchikov, DAnıla A.; Şahin, Onur (SAGE Publications LTD, 2017)This paper deals with the three-dimensional analysis of the near-resonant regimes of a point load, moving steadily along the surface of a coated elastic half-space. The approach developed relies on a specialized ... -
Numerical expansion methods for solving Fredholm-Volterra type linear integral equations by interpolation and quadrature rules
Yusufoğlu, Elçin; Erbaş, Barış (Emerald Group Publishing Limited, 2008)Purpose - This paper sets out to introduce a numerical method to obtain solutions of Fredholm-Volterra type linear integral equations. Design/methodology/approach - The flow of the paper uses well-known formulations, which ... -
On a 3D moving load problem for an elastic half space
Kaplunov, J.; Prikazchikov, D. A.; Erbaş, Barış; Şahin, Onur (Elsevier Science BV, 2013)The paper deals with 3D dynamic response of an elastic half-space loaded by a point force moving at a constant speed along a straight line on the surface. The problem is formulated within the framework of the asymptotic ... -
On surface wave fields arising in soil-structure interaction problems
Ege, Nihal; Erbaş, Barış; Chorozoglou, Andreas; Kaplunov, Julius; Prikazchikov, DAnıla A. (Elsevier Science BV, 2017)The paper aims at generalization of the specialized formulation, originally developed for the surface wave fields induced by prescribed surface stresses. We extend this formulation to soil-structure interaction problems ... -
On the 3D Rayleigh wave field on an elastic half-space subject to tangential surface loads
Ege, Nihal; Erbaş, Barış; Prikazchikov, DAnıla A. (Wiley-V C H Verlag GMBH, 2015)This study is concerned with analysis of the Rayleigh wave field in a 3D isotropic elastic half-space subject to in-plane surface loading. The approach relies on the slow time perturbation of the general representation for ... -
On the Causality of the Rayleigh Wave
Erbaş, Barış; Şahin, Onur (Mathematical Science Publ, 2016)An explicit hyperbolic-elliptic formulation for surface Rayleigh waves is analysed with an emphasis on the causality of obtained results. As an example, a 3D moving load problem for a distributed vertical load is considered. ... -
A plane contact problem for an elastic orthotropic strip
Erbaş, Barış; Yusufoğlu, E.; Kaplunov, J. (Springer, 2011)The contact of a punch with an elastic orthotropic strip is considered. A singular integral equation is derived for the contact pressure. The analytic expression of the associated kernel is unique for all types of orthotropy. ... -
The Rayleigh wave field in mixed problems for a half-plane
Erbaş, Barış; Kaplunov, Julius; Prikazchikov, DAnıla A. (Oxford University Press, 2013)The note develops an approximate approach to mixed boundary value problems in linear elasticity starting from an explicit asymptotic model for the Rayleigh surface wave. It is demonstrated that the original vector mixed ... -
Response of a 3D elastic half-space to a distributed moving load
Ege, Nihal; Şahin, Onur; Erbaş, Barış (Hacettepe University, Fac Sci, 2017)The dynamic effect of an out of plane distributed moving load on the surface of an elastic half-space is considered. The problem is formulated in terms of a hyperbolic-elliptic asymptotic model for a moving load where the ... -
Scattering of sound waves by an infinite grating composed of rigid plates
Erbaş, Barış; Abrahams, I. David (Elsevier Science BV, 2007)A plane sound wave is incident at an angle theta upon an infinite array of rigid plates, equally spaced and lying along the y-axis, where (x, y) are two-dimensional Cartesian coordinates. The boundary value problem is ... -
Wiener-Hopf tekniği ve bazı dalga denklemlerine uygulanması
Bayıntır, Hazel (Anadolu Üniversitesi, 2012)Bu tezde, farklı geometrilere sahip iki sınır-değer problemi Wiener-Hopf tekniği kullanılarak çözülmüştür. Wiener-Hopf tekniği uygulanırken kompleks analizin temel kavramlarından, Fourier dönüşümlerinden ve Fourier ...
