esin inan - Academia.edu (original) (raw)
Papers by esin inan
The following broad fields have been chosen by the International Scientific Committeeto be of spe... more The following broad fields have been chosen by the International Scientific Committeeto be of special importance for the ICOVP-2005: TOPIC 1. Mathematical models of vibration problems in continuum mechanics TOPIC 2. Vibration problems in non-classical continuum models and wave mechanics TOPIC 3. Vibrations due to solid / liquid phase interaction TOPIC 4. Vibration problems in structural dynamics, damage mechanics and composite materials TOPIC 5. Analysis of the linear / non-linear and deterministic / stochastic vibrations phenomena TOPIC 6. Vibrations of transport systems TOPIC 7. Computational methods in vibration problems and wave mechanics TOPIC 8. Vibration problems in earthquake engineering TOPIC 9. Vibration of granular materials TOPIC 10. Active vibration control and vibration control in space structure TOPIC 11. Vibration problems associated with nuclear power reactors Other topics concerned with vibration problems, in general, were open as well, but it was understood that t...
The flux-line lattice in superconductors communications and cooperation complex bacterial colonie... more The flux-line lattice in superconductors communications and cooperation complex bacterial colonies thermodynamics of chaos statistical mechanics of vortex matter order-disorder and phase separation - modelling grain sintering towards a united approach to the fracture, yielding and damage effect of interfacial bonding on the mechanical properties of bone tissue self-organized criticality and deterministic chaos in a generalized spring-block model of earthquake faults - analytical and numerical results some basic problems in micromechanics of solids with pores of various shapes (dry and fluid-filled) self-consistent schemes in the problem of wave propagation in homogeneous media recent advances in suspension mechanics some microscopic perspectives in continuum modelling observations of strain localization and instabilities in plastic deformation of metals transitions in nonlinear mechanics equivalence groups for second order balance equations. (Part contents).
Springer Proceedings in Physics, 2006
A comparative study on the dynamic analysis of multi-bay stiffened coupled shear walls with semi-... more A comparative study on the dynamic analysis of multi-bay stiffened coupled shear walls with semi-rigid connections 15 Free vibrations of cross-ply laminated non-homogeneous composite truncated conical shells Akyüz U, Ertepınar A (RC) Symmetric and asymmetric vibrations of cylindrical shells AldemirÜ, Aydın E (RC) An active control algorithm to prevent the pounding of adjacent structures AldemirÜ, Güney D (RC) Vibration control of non-linear buildings under seismic loads Aslanyan A G, Dronka J, Mishuris G S, SelsilÖ (RC) Vibrations of damaged 1D-3D multi-structures Aşçı N, Uysal H, UzmanÜ (RC) Sizing of a spherical shell as variable thickness under dynamic loads i v i Aksogan O, Sofiyev A H, Sofiyev A (RC)
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
SynopsisThis paper develops the general theory of the propagation of Lipschitz discontinuities in... more SynopsisThis paper develops the general theory of the propagation of Lipschitz discontinuities in first- and second-order partial derivatives of the initial data for a conservative quasi-linear hyperbolic system with discontinuous coefficients. After establishing that such weak discontinuities propagate along characteristics the appropriate transport equations are derived. The effect on this form of wave propagation of the strong discontinuity associatedwith the discontinuous coefficients is then studied and the transmission and reflection characteristics of the resulting waves are analysed. In conclusion, an application of this general theory is made to the propagation of plane shear waves through two different continuous hyperelastic solids to determine the transmitted and reflected waves.
Le Matematiche, Jan 3, 1992
Itudergisi D, Feb 5, 2011
International Journal of Solids and Structures, 2006
In the present work, microelastic and macroelastic fields are presented for the case of spherical... more In the present work, microelastic and macroelastic fields are presented for the case of spherical inclusions embedded in an infinite microstretch material using the concept of Green’s functions. The Eshelby tensors are obtained for a spherical inclusion and it is shown that their forms for microelongated, micropolar and the classical cases are the proper limiting cases of the Eshelby tensors of microstretch materials.
Springer Proceedings in Physics, 2006
Page 1. 383 383388. ONE - DIMENSIONAL WAVE PROPAGATION PROBLEM IN A NONLOCAL FINITE MEDIUM WITH ... more Page 1. 383 383388. ONE - DIMENSIONAL WAVE PROPAGATION PROBLEM IN A NONLOCAL FINITE MEDIUM WITH FINITE DIFFERENCE METHOD Ahmet ¨Ozkan ¨Ozer1 and E. ˙Inan2 1Faculty of Science and Letters, ˙Istanbul ...
Encyclopedia of Thermal Stresses, 2014
Springer Proceedings in Physics, 2009
In the present work, damaged plates are modeled by the micro-elongation theory which neglects the... more In 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
Springer Proceedings in Physics, 2009
Springer Proceedings in Physics, 2011
Encyclopedia of Thermal Stresses, 2014
Springer Proceedings in Physics, 2009
Journal of Physics: Conference Series, 2011
Journal of Non-Newtonian Fluid Mechanics, 1992
International Journal of Engineering Science, 2008
In the present work, the vibration problems of rectangular plates modeled by Eringen's microstret... more In the present work, the vibration problems of rectangular plates modeled by Eringen's microstretch theory are investigated for the identification of the upper bounds of the microstretch moduli of the plate material. The calculated frequencies of the plates are obtained by extending the Ritz method to the microstretch plates. The three dimensional (3D) vibration analysis of the plates shows that some additional frequencies occur among the classical frequencies as characterizing the microstretch effects. Then it is also observed that these additional frequencies disappear and only the classical frequencies remain with the increasing values of microstretch constants. The inverse problem is established for the identification of the upper bounds of the microstretch elastic constants as an optimization problem where an error function is minimized.
International Journal of Engineering Science, 2005
Eshelby tensors are found for a spherical inclusion in a microelongated elastic field. Here, a sp... more Eshelby tensors are found for a spherical inclusion in a microelongated elastic field. Here, a special micromorphic model is introduced to describe the damaged material which defines the damage as the formation and the growth of microcracks and microvoids occurred in the material at the microstructural level. To determine the new material coefficients of the model, an analogy is established between the damaged body and the composite materials and then Mori-Tanaka homogenization technique is considered to obtain overall material moduli. Following this idea, the determination of the Eshelby tensors which establish the relation between the strains of the matrix material and of the inclusion becomes the first task. Introducing the concept of eigenstrain and microeigenstrain, the general constitutive theory is given for a homogeneous isotropic centrosymmetric microelongated media with defects. Then by the use of GreenÕs functions, micro and macro elastic fields are presented for the case of spherical inclusions embedded in an infinite microelongated material. Thus, the Eshelby tensors are obtained for a microelongated elastic field with a spherical inclusion and it is also shown that the classical Eshelby tensors can be obtained as a limit case of the microelongation.
The following broad fields have been chosen by the International Scientific Committeeto be of spe... more The following broad fields have been chosen by the International Scientific Committeeto be of special importance for the ICOVP-2005: TOPIC 1. Mathematical models of vibration problems in continuum mechanics TOPIC 2. Vibration problems in non-classical continuum models and wave mechanics TOPIC 3. Vibrations due to solid / liquid phase interaction TOPIC 4. Vibration problems in structural dynamics, damage mechanics and composite materials TOPIC 5. Analysis of the linear / non-linear and deterministic / stochastic vibrations phenomena TOPIC 6. Vibrations of transport systems TOPIC 7. Computational methods in vibration problems and wave mechanics TOPIC 8. Vibration problems in earthquake engineering TOPIC 9. Vibration of granular materials TOPIC 10. Active vibration control and vibration control in space structure TOPIC 11. Vibration problems associated with nuclear power reactors Other topics concerned with vibration problems, in general, were open as well, but it was understood that t...
The flux-line lattice in superconductors communications and cooperation complex bacterial colonie... more The flux-line lattice in superconductors communications and cooperation complex bacterial colonies thermodynamics of chaos statistical mechanics of vortex matter order-disorder and phase separation - modelling grain sintering towards a united approach to the fracture, yielding and damage effect of interfacial bonding on the mechanical properties of bone tissue self-organized criticality and deterministic chaos in a generalized spring-block model of earthquake faults - analytical and numerical results some basic problems in micromechanics of solids with pores of various shapes (dry and fluid-filled) self-consistent schemes in the problem of wave propagation in homogeneous media recent advances in suspension mechanics some microscopic perspectives in continuum modelling observations of strain localization and instabilities in plastic deformation of metals transitions in nonlinear mechanics equivalence groups for second order balance equations. (Part contents).
Springer Proceedings in Physics, 2006
A comparative study on the dynamic analysis of multi-bay stiffened coupled shear walls with semi-... more A comparative study on the dynamic analysis of multi-bay stiffened coupled shear walls with semi-rigid connections 15 Free vibrations of cross-ply laminated non-homogeneous composite truncated conical shells Akyüz U, Ertepınar A (RC) Symmetric and asymmetric vibrations of cylindrical shells AldemirÜ, Aydın E (RC) An active control algorithm to prevent the pounding of adjacent structures AldemirÜ, Güney D (RC) Vibration control of non-linear buildings under seismic loads Aslanyan A G, Dronka J, Mishuris G S, SelsilÖ (RC) Vibrations of damaged 1D-3D multi-structures Aşçı N, Uysal H, UzmanÜ (RC) Sizing of a spherical shell as variable thickness under dynamic loads i v i Aksogan O, Sofiyev A H, Sofiyev A (RC)
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
SynopsisThis paper develops the general theory of the propagation of Lipschitz discontinuities in... more SynopsisThis paper develops the general theory of the propagation of Lipschitz discontinuities in first- and second-order partial derivatives of the initial data for a conservative quasi-linear hyperbolic system with discontinuous coefficients. After establishing that such weak discontinuities propagate along characteristics the appropriate transport equations are derived. The effect on this form of wave propagation of the strong discontinuity associatedwith the discontinuous coefficients is then studied and the transmission and reflection characteristics of the resulting waves are analysed. In conclusion, an application of this general theory is made to the propagation of plane shear waves through two different continuous hyperelastic solids to determine the transmitted and reflected waves.
Le Matematiche, Jan 3, 1992
Itudergisi D, Feb 5, 2011
International Journal of Solids and Structures, 2006
In the present work, microelastic and macroelastic fields are presented for the case of spherical... more In the present work, microelastic and macroelastic fields are presented for the case of spherical inclusions embedded in an infinite microstretch material using the concept of Green’s functions. The Eshelby tensors are obtained for a spherical inclusion and it is shown that their forms for microelongated, micropolar and the classical cases are the proper limiting cases of the Eshelby tensors of microstretch materials.
Springer Proceedings in Physics, 2006
Page 1. 383 383388. ONE - DIMENSIONAL WAVE PROPAGATION PROBLEM IN A NONLOCAL FINITE MEDIUM WITH ... more Page 1. 383 383388. ONE - DIMENSIONAL WAVE PROPAGATION PROBLEM IN A NONLOCAL FINITE MEDIUM WITH FINITE DIFFERENCE METHOD Ahmet ¨Ozkan ¨Ozer1 and E. ˙Inan2 1Faculty of Science and Letters, ˙Istanbul ...
Encyclopedia of Thermal Stresses, 2014
Springer Proceedings in Physics, 2009
In the present work, damaged plates are modeled by the micro-elongation theory which neglects the... more In 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
Springer Proceedings in Physics, 2009
Springer Proceedings in Physics, 2011
Encyclopedia of Thermal Stresses, 2014
Springer Proceedings in Physics, 2009
Journal of Physics: Conference Series, 2011
Journal of Non-Newtonian Fluid Mechanics, 1992
International Journal of Engineering Science, 2008
In the present work, the vibration problems of rectangular plates modeled by Eringen's microstret... more In the present work, the vibration problems of rectangular plates modeled by Eringen's microstretch theory are investigated for the identification of the upper bounds of the microstretch moduli of the plate material. The calculated frequencies of the plates are obtained by extending the Ritz method to the microstretch plates. The three dimensional (3D) vibration analysis of the plates shows that some additional frequencies occur among the classical frequencies as characterizing the microstretch effects. Then it is also observed that these additional frequencies disappear and only the classical frequencies remain with the increasing values of microstretch constants. The inverse problem is established for the identification of the upper bounds of the microstretch elastic constants as an optimization problem where an error function is minimized.
International Journal of Engineering Science, 2005
Eshelby tensors are found for a spherical inclusion in a microelongated elastic field. Here, a sp... more Eshelby tensors are found for a spherical inclusion in a microelongated elastic field. Here, a special micromorphic model is introduced to describe the damaged material which defines the damage as the formation and the growth of microcracks and microvoids occurred in the material at the microstructural level. To determine the new material coefficients of the model, an analogy is established between the damaged body and the composite materials and then Mori-Tanaka homogenization technique is considered to obtain overall material moduli. Following this idea, the determination of the Eshelby tensors which establish the relation between the strains of the matrix material and of the inclusion becomes the first task. Introducing the concept of eigenstrain and microeigenstrain, the general constitutive theory is given for a homogeneous isotropic centrosymmetric microelongated media with defects. Then by the use of GreenÕs functions, micro and macro elastic fields are presented for the case of spherical inclusions embedded in an infinite microelongated material. Thus, the Eshelby tensors are obtained for a microelongated elastic field with a spherical inclusion and it is also shown that the classical Eshelby tensors can be obtained as a limit case of the microelongation.