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RISS 인기검색어
- 검색키워드
- 저자 : S. Ataoglu (검색결과 4 건)
- 무료
- 기관 내 무료
- 유료
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A two dimensional mixed boundary-value problem in a viscoelastic medium
Ataoglu, S. Techno-Press 2009 Structural Engineering and Mechanics, An Int'l Jou Vol.32 No.3
A fundamental solution for the transient, quasi-static, plane problems of linear viscoelasticity is introduced for a specific material. An integral equation has been found for any problem as a result of dynamic reciprocal identity which is written between this fundamental solution and the problem to be solved. The formulation is valid for the first, second and mixed boundary-value problems. This integral equation has been solved by BEM and algorithm of the BEM solution is explained on a sample, mixed boundary-value problem. The forms of time-displacement curves coincide with literature while time-surface traction curves being quite different in the results. The formulation does not have any singularity. Generalized functions and the integrals of them are used in a different form.
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A two dimensional mixed boundary-value problem in a viscoelastic medium
S. Ataoglu 국제구조공학회 2009 Structural Engineering and Mechanics, An Int'l Jou Vol.32 No.3
A fundamental solution for the transient, quasi-static, plane problems of linear viscoelasticity is introduced for a specific material. An integral equation has been found for any problem as a result of dynamic reciprocal identity which is written between this fundamental solution and the problem to be solved. The formulation is valid for the first, second and mixed boundary-value problems. This integral equation has been solved by BEM and algorithm of the BEM solution is explained on a sample, mixed boundary-value problem. The forms of time-displacement curves coincide with literature while timesurface traction curves being quite different in the results. The formulation does not have any singularity. Generalized functions and the integrals of them are used in a different form.
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Propagation of Axial Symmetric, Transient Waves from a Cylindrical Cavity
N. Kadioglu,S. Ataoglu 대한토목학회 2010 KSCE JOURNAL OF CIVIL ENGINEERING Vol.14 No.4
The aim is to determine the displacement and the stress fields for a cylindrical cavity under a transient pressure which is an arbitrary function of time. A fundamental solution, given by Kadioglu and Ataoglu, has been revised to be used in reciprocal theorem for the solutions of axially symmetric transient problems of elastodynamics. An integral equation, whose unknown is the radial displacement on the boundary, has been written, using this fundamental solution in reciprocal identity. The boundary values of two sample problems, have been determined by solving this integral equation. To calculate the propagation of the displacement field in the region for any axially symmetric problem, a second elastodynamic state has also been derived. This new elastodynamic state has been used in reciprocity theorem to compute the time-variations of the displacement and the stresses at any point in the region for both sample problems. Whole singularities arising in every stage of the formulation have been eliminated. The most interesting result of the presented solution is the representation of a propagating wave by two different two-dimensional integrals at any interior point. Each of these integrals is valid for a different time interval and these intervals are defined by the position of the mentioned interior point.
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A BEM implementation for 2D problems in plane orthotropic elasticity
Kadioglu, N.,Ataoglu, S. Techno-Press 2007 Structural Engineering and Mechanics, An Int'l Jou Vol.26 No.5
An improvement is introduced to solve the plane problems of linear elasticity by reciprocal theorem for orthotropic materials. This method gives an integral equation with complex kernels which will be solved numerically. An artificial boundary is defined to eliminate the singularities and also an algorithm is introduced to calculate multi-valued complex functions which belonged to the kernels of the integral equation. The chosen sample problem is a plate, having a circular or elliptical hole, stretched by the forces parallel to one of the principal directions of the material. Results are compatible with the solutions given by Lekhnitskii for an infinite plane. Five different orthotropic materials are considered. Stress distributions have been calculated inside and on the boundary. There is no boundary layer effect. For comparison, some sample problems are also solved by finite element method and to check the accuracy of the presented method, two sample problems are also solved for infinite plate.
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