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Dinçkal, Çiğdem

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https://hdl.handle.net/20.500.12416/9313
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Dinckal, Cigdem
Dinckal, C.
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Dr. Öğr. Üyesi
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İnşaat Mühendisliği
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Former Staff
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Scholarly Output

26

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18

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2869/889

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WoS Citation Count

54

Scopus Citation Count

59

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3

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WoS Citations per Publication

2.08

Scopus Citations per Publication

2.27

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JournalCount
Journal of Innovative Research in Engineering and Science2
World Congress on Engineering (WCE 2013) -- JUL 03-05, 2013 -- Imperial Coll London, London, ENGLAND2
International Journal of Pure and Applied Mathematics2
Celal Bayar Üniversitesi Fen Bilimleri Dergisi1
Computer Applications in Engineering Education1
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Now showing 1 - 10 of 26
  • Thumbnail Image
    Publication
    On the properties of piezoelectric materials based upon orthonormal representations
    (CRC Press-Taylor, 2013) Dinçkal, Çiğdem
    For piezoelectric tensor, the decomposition method based upon irreducible orthogonal representation is overviewed. Besides, orthonormal tensor basis method is improved to express any third rank tensors such as piezoelectric tensor showing the piezoelectric effect of the material properties on the structures. Numerical examples for materials from different crystal symmetry classes serve to illustrate and verify the orthonormal tensor basis method. The differences and similarities are stated by comparing the methods presented in this work and the others in literature. It is also demonstrated that for hexagonal symmetry, each decomposed parts obtained from orthonormal tensor basis method has physical meaning. Furthermore, the norm based upon orthonormal tensor basis representation of piezoelectric tensor is obtained explicitly for each crystal symmetry classes and those results are used to study the piezoelectric effect of different materials. It is also shown that one can determine in which material the piezoelectric effect is stronger by using the norm concept for any material from various crystal symmetry classes.
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    Article
    Adaptation of generalized Hill inequalities to anisotropic elastic symmetries
    (2011) Dinçkal, Çiğdem
    Mechanical and elastic behaviors of anisotropic materials are investigated in an innovative way. This is based on generalized Hill inequalities. From different type of anisotropic elastic symmetries, numerical examples are given. Constructing bounds on effective eigenvalues provides a deeper understanding about mechanical behavior of anisotropic materials. Generalized Hill inequalities are adapted to all anisotropic elastic symmetries. The materials selected from the same symmetry type which have larger interval between the bounds, are more anisotropic whereas smaller interval between the bounds, are closer to isotropy. Besides it is proved that there are relations between bulk and shear modulus and eigenvalues of cubic and isotropic symmetry and by these relations, two linear invariants are found out.
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    Article
    Nonlineer Denklemleri Çözmek için Yeni Öngörme-düzeltme Tipi Yineli Yöntemler
    (2017) Dinçkal, Çiğdem
    Bu makale, nonlineer denklemleri çözmek için, iki yeni öngörme-düzeltme tipi yineli yöntem önerir. Bu yöntemler, iyi bilinen ikiye bölme yöntemi ve Newton-Raphson yönteminin kombinasyonuna dayalı bir şekilde oluşturulmuştur. Çeşitli nümerik örnekler, bu yöntemlerin ana amaçlarını doğrulamaya ve nümerik sonuçlarını karşılaştırmaya hizmet etmektedir. Nümerik sonuçlar, herhangi nonlineer bir denklemin tam köküne ulaşmak için elde edilecek yineleme sayısı cinsinden bu yeni önerilen yöntemlerin yakınsama hızlarını test etmek için de sunulmuştur. Elde edilen bu nümerik sonuçlar, önerilen yeni yöntemlerin iyi bilinen her iki yöntemlerden biri olan ikiye bölme ve NewtonRaphson'dan ve ayrıca literatürdeki diğer yöntemlerden de daha iyi performans gösterdiğine de, işaret etmektedir.
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    Article
    Novel Alternative Methods to Romberg Integration and Richardson’s Extrapolation with Matlab Package:Integral_Calculator
    (2020) Dinçkal, Çiğdem
    This paper introduces new integration methods for numerical integration problems in science and engineering applications. It is shown that the exact results of these integrals can be obtained by these methods with the use of only 2 segments. So no additional function and integrand evaluations are required for different levels of computation. This situation overcomes the computational inefficiency. A new Matlab Package; Integral_Calculator is presented. Integral_Calculator provides a user-friendly computational platform which requires only 3 data entries from the user and performs the integration and give the results for any functions to be integrated. This package has been tested for each numerical example considered below.
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    Article
    Finite Element Modeling for Vibration of Initially Stressed Non-Local Euler-Bernoulli Beams
    (2016) Dinçkal, Çiğdem
    This paper is concerned with a precise finite element model for vibration analysis of initially stressed micro/nano beams based on nonlocal Euler-Bernoulli and Eringen's nonlocal elasticity theory. For this purpose analytical solutions for the exact dynamic shape functions has been derived by also use of Hamiltonian's principle for the governing equations. The solution is applicable to various initial stresses such as tensile and compressive and scaling effect. The exact dynamic shape functions have been constructed to obtain analytic expressions for the exact dynamic element stiffness matrix components. Numerical results are displayed to indicate the effects of initial stresses and scaling effect parameters on the vibration characteristics of initially stressed clamped nonlocal Euler-Bernoulli beams. For the first time in literature, this study presents such an element formulation that it provides adequate and accurate representation of the vibration behavior of initially stressed micro/nano beams based on nonlocal Euler-Bernoulli beam theory.
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    Article
    Citation - WoS: 4
    Citation - Scopus: 4
    Design of Integral Spreadsheet Calculator for Engineering Applications
    (Wiley, 2018) Dinckal, Cigdem
    Although Newton-Cotes integration formulas in engineering have been the subject of the study for a long time, the improvement in formulations is still object of interest. In this sense, design of calculators based on these formulations becomes significant. The purpose of this paper is to design an integral calculator for any engineering problems. Since the integral calculator, easy-to-understand and use, is aimed to be employed by any kind of users. Visual Basic for Applications (VBA) is the programming language of Excel. Excel spreadsheet with VBA is preferred for this purpose. In this study, a user interface input form is introduced. This form is composed of the embedded algorithm. This algorithm includes not only rules and formulations of each Newton-Cotes such as Composite Trapezoidal rule, Simpson's rules, Boole's rules, and Gauss Legendre formulations with 2, 6, 10, 16, and 24 points and exact result of any integral (if it exists) with computed true percent relative error for comparison purposes. This calculator is tested for civil, mechanical, and chemical engineering applications. The results and screenshots for each application obtained from calculator are presented. The present study allows design of an integral spreadsheet calculator for any integral given. If exact result of the integral cannot be obtainable, the calculator can perform only integral calculations numerically without exact solution and computed true percent relative error. Otherwise, user can solve the integrals completely with this tool easily and accurately again but this time by both numerically and analytically with true percent relative error calculations.
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    Article
    Orthonormal decomposition of symmetric second rank tensors
    (2010) Dinçkal, Çiğdem
    In this paper, a new orthonormal decomposition method for symmetric second rank tensors namely as, orthonormal tensor basis is presented. Complex variable representation method is developed by using the existing theories in literature. For comparison purposes, a brief review of the spectral method is given. It is shown that stress tensor, as an example to symmetric second rank tensors, is decomposed into six orthonormal parts by orthonormal tensor basis and complex variable representation methods. The matrix forms of these decomposed parts are given. This is the first time in literature that physical meanings of each six decomposed parts which are obtained from the orthonormal decomposition of stress tensor by orthonormal tensor basis and complex variable representation methods, different from the traditionally form, are emphasized. Illustrative applications on orthonormal tensor basis and complex variable representation decomposition methods are given. Finally, it is proved that the spectral method is a non-linear decomposition method which yields three non-linear orthonormal decomposed parts. This case is a significant innovation in decomposition procedures for symmetric second rank tensors in literature.
  • Thumbnail Image
    Conference Object
    Citation - WoS: 1
    Citation - Scopus: 4
    Orthonormal Decomposition of Third Rank Tensors and Applications
    (int Assoc Engineers-iaeng, 2013) Dinckal, Cigdem; Dinçkal, Çiğdem; İnşaat Mühendisliği
    A new procedure for representation of third rank tensors in terms of its orthonormal irreducible decomposed parts, namely as irreducible decomposition is presented. Orthonormal tensor basis method is developed by using the results of existing theory in the literature. As an example to third rank tensors, piezoelectricity tensor is decomposed by each method and results of this decomposition methods are compared for this tensor in hexagonal symmetry. As a result of comparison process, it is stated that the results for new method and other one are consistent and each decomposed parts have physical meaning. Moreover, the norm concept of piezoelectricity tensor is used to study the piezoelectric effect of some materials. It is also shown that one can determine in which material the piezoelectric effect is stronger by using the norm for different materials with the same symmetries.
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    Article
    Initial value problems spreadsheet solver using VBA for engineering education
    (2018) Dinçkal, Çiğdem
    Spreadsheet solver using VBA programming has been designed for solving initial value problems (IVPs), analytically and numerically by all Runge-Kutta (RK) methods including also fifth order with calculation of true percent relative error for corresponding RK method. This solver is user-friendly especially for beginner users of Excel and VBA.
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    Article
    Studies on the Optimum Mechanical Response of Anısotropıc Materials Related to Elastıc Constants
    (2011) Dinçkal, Çiğdem
    In this paper, mechanical and elastic behaviour of anisotropic materials are investigated in order to understand the optimum mechanical behaviour of them in selected directions. For an anisotropic material with known elastic constants, it is possible to choose the best set of elastic constants (effective elastic constants) which determine the optimum mechanical and elastic properties of it. For this reason, bounds on the anisotropic elastic constants have been constructed symbollicaly for all anisotropic elastic symmetries. As illustrative examples, materials from different symmetries are selected and their elastic constants are used to compute bounds on the anisotropic elastic constants. Finally, by examining numerical results of bounds given in tables, it is seen that the materials selected from the same symmetry type which have larger interval between the bounds, are more anisotropic, whereas some materials which have smaller interval between the bounds, are closer to isotropy. The construction of bounds on anisotropic elastic constants is a significant and critical case in design of any engineering and structural materials.