İnşaat Mühendisliği Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/395
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Conference Object On the Mechanical and Elastic Properties of Anisotropic Engineering Materials Based Upon Harmonic Representations(int Assoc Engineers-iaeng, 2013) Dinçkal, Çiğdem; Dinckal, Cigdem; İnşaat MühendisliğiThis paper presents a new aspect of harmonic decomposition method for elastic constant tensor of various anisotropic materials. Some misprints found in literature are corrected. This procedure derived here, is applied to anisotropic engineering materials possessing different elastic symmetries. In order to gain insight about these applications, numerical illustrations are presented for anisotropic engineering materials. A new description of norm in terms of harmonic tensors is introduced instead of well-known form of norm. This case is a significant innovation for specifying the anisotropy degree of any engineering materials to have opinion about the mechanical and elastic properties of these materials.Conference Object Citation - Scopus: 1An Innovative Description of Elastic Constant Tensor Based Upon Orthonormal Representations(Newswood Limited, 2012) Dinçkal, Ç.; Dinçkal, Çiğdem; İnşaat MühendisliğiA new procedure for representation of elastic constant tensor in terms of its orthonormal decomposed parts is presented. Form invariants and orthonormalized basis elements are used to generate this decomposition method. Numerical examples from various engineering materials serve to illustrate and verify the decomposition procedure. The norm concept of elastic constant tensor and norm ratios are used to study the anisotropy of these materials. It is shown that this method allows to investigate the elastic and mechanical properties of an anisotropic material possessing any material symmetry and determine anisotropy degree of that material. For a material given from an unknown symmetry, it is possible to determine its material symmetry type by this method. © 2012 Newswood Limited. All rights reserved.Conference Object Citation - WoS: 1Citation - Scopus: 4Orthonormal Decomposition of Third Rank Tensors and Applications(int Assoc Engineers-iaeng, 2013) Dinckal, Cigdem; Dinçkal, Çiğdem; İnşaat MühendisliğiA 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.Article Nonlineer Denklemleri Çözmek için Yeni Öngörme-düzeltme Tipi Yineli Yöntemler(2017) Dinçkal, ÇiğdemBu 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.Article Lecture Notes in Engineering and Computer Science(Newswood Limited, 2012) Dinçkal, ÇiğdemA new procedure for representation of elastic constant tensor in terms of its orthonormal decomposed parts is presented. Form invariants and orthonormalized basis elements are used to generate this decomposition method. Numerical examples from various engineering materials serve to illustrate and verify the decomposition procedure. The norm concept of elastic constant tensor and norm ratios are used to study the anisotropy of these materials. It is shown that this method allows to investigate the elastic and mechanical properties of an anisotropic material possessing any material symmetry and determine anisotropy degree of that material. For a material given from an unknown symmetry, it is possible to determine its material symmetry type by this method.