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Yayın Preface(Springer Science and Business Media Deutschland GmbH, 2021) Dutta, Subashisa; İnan, Esin; Dwivedy, Santosha Kumar[No abstract available]Yayın 3-D Vibration analysis of microstretch plates(Springer, 2008) İnan, Esin; Kiriş, AhmetIn the present work, rectangular plates with various boundary conditions are Studied, which are modeled by the rnicrostretch theory. Wave propagation problem is investigated and new waves are observed which do not appear in the classical theory of elasticity. Ritz method is used for this investigation. Triplicate Chebyshev series, multiplied by boundary functions, are used as admissible functions and the frequency equations of the micro-stretch plate are obtained by the use of Chebyshev-Ritz method. The additional frequencies due to the microstructure of the plate are observed among the values of the frequencies obtained from the classical theory of elasticity. We observed that these additional frequencies disappear while the all microstretch constants are taken as zero.Yayın Identification of the material properties of microisotropic materials(Springer Heidelberg, 2015-07) Kiriş, Ahmet; İnan, EsinThe vibration problem of a rectangular plate is considered in the present work. The main purpose here is to identify the upper bounds of the unknown material moduli of the microisotropic plate material. The frequency spectrum is obtained by extending Ritz Method to the present case. Three dimensional (3-D) vibration analysis is performed and some additional frequencies are observed among the classical frequencies as characterizing the microisotropic effects. These additional frequencies disappear by increasing values of microisotropic constants beyond some certain limits while the classical frequencies remain in the spectrum. The inverse problem is established for the identification of the upper bounds of the microisotropic constants as an optimization problem where an error function is minimized.Yayın Thermo-microstretch elastic bodies and plane waves(IOP PUBLISHING LTD, 2011) İnan, Esin; Kırış, AhmetIn the present work, vibration problems of rectangular plates are considered for the determination of upper bounds to the unknown microstretch material properties. The frequencies are obtained by extending the Ritz method to this case. The analysis shows that some additional frequencies characterizing the microstretch effects appear among the classical frequencies. Furthermore, by the increasing values of the microstretch constants, the additional frequencies disappear and only the classical frequencies remain in the spectrum. Considering this phenomenon, an optimization problem is established for the identification of the upper bounds of microstretch elastic constants. In the second part of the work, thermal effects are considered and several theories are discussed. Finally, propagation of the plane waves is investigated.Yayın 3-D Vibration analysis of the rectangular micro damaged plates(Springer, 2008) Kiriş, Ahmet; İnan, EsinIn the present work, damaged plates are modeled by the micro-elongation theory which neglects the micropolar effects in Eringen's microstretch theory. The wave propagation problem is Studied and a new wave which does not appear in the classical theory of elasticity is observed. The Ritz method is extended to the microelongation theory and triplicate Chebyshev series multiplied by a boundary function are used as admissible functions to approximate plate deflection, and the frequency equations of the microelongated plate are obtained by using Chebyshev-Ritz method. The additional frequencies due to the microstructure of the plate are observed among the values of the classical frequencies. We examined the relation between these additional frequencies and the material constants of the microelongated medium and observed that these additional frequencies disappear while the all microelongational constants are taken as zero.Yayın Preface(Springer Science and Business Media Deutschland GmbH, 2020) Dutta, Subashisa; İnan, Esin; Dwivedy, Santosha Kumar[No abstract available]Yayın A hollow cylinder problem in microstretch theory(Springer-Verlag, 2011) İnan, Esin; Kırış, AhmetA hollow cylinder micro-damaged tube under pressure problem is discussed. Micro damage is modeled with Eringen's microstretch theory and the displacement and its comparison with classical result are given.Yayın Free vibration of composite sandwich beams with microstretch viscoelastic core(Springer Science and Business Media Deutschland GmbH, 2021) Aydınlık, Soner; Kırış, Ahmet; İnan, EsinIn the present work, we studied a sandwich beam which is made of two thin stiff layers on top and bottom and a microstretch viscoelastic core in the middle. Here, the top and the bottom stiff layers are considered as elastic, while the inner part is taken as microstretch viscoelastic material. The free vibration of this composite beam is investigated. Differential transform method is used for the solution. The values of the frequencies obtained for microstretch case are found greater than the classical ones, as it is expected. Besides, the minimum differences between the classical frequencies and deviated classical frequencies due to the microstretch core are getting bigger for the large loss factors.
