Trosolwyg
Diddordebau ymchwil
- Dadansoddiad o hafaliadau differol rhannol aflinol
- viscoelasticity Nonlinear
- Theori cyfyngol ar y llinyn o ymateb materol
- Llifa grawnwin
- Mecaneg solet
- Calculus o amrywiadau
Grwpiau Ymchwil
Cyhoeddiad
2024
- Poudel, R., Sengul Tezel, Y. and Mihai, L. A. 2024. Deformation localisation in stretched liquid crystal elastomers. Mechanics of Soft Materials 6, article number: 8. (10.1007/s42558-024-00063-2)
- Sengul, Y. 2024. A variational approach to frame-indifferent quasistatic viscoelasticity of rate type. Philosophical Transactions of the Royal Society of London Series A: Mathematical and Physical Sciences 382(2277), article number: 20230307. (10.1098/rsta.2023.0307)
- Erbay, H. A., Rajagopal, K. R., Saccomandi, G. and Şengül, Y. 2024. Dispersive transverse waves for a strain-limiting continuum model. Mathematics and Mechanics of Solids 29(6), pp. 1216-1227. (10.1177/10812865231188931)
- Rajagopal, K. R. and Sengul, Y. 2024. Solutions for the unsteady motion of porous elastic solids within the context of an implicit constitutive theory. International Journal of Non-Linear Mechanics 163, article number: 104728. (10.1016/j.ijnonlinmec.2024.104728)
2023
- Bachmann, L., De Anna, F., Schlomerkemper, A. and Şengül, Y. 2023. Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 381(2263), article number: 20220374. (10.1098/rsta.2022.0374)
- Duman, E. and Sengul, Y. 2023. Stress-rate-type strain-limiting models for solids resulting from implicit constitutive theory. Advances in Continuous and Discrete Models 2023(6) (10.1186/s13662-023-03751-x)
- Bachmann, L., Schlömerkemper, A. and Sengul, Y. 2023. A variational approach to strain-limiting viscoelasticity in one space dimension. Pure and Applied Functional Analysis
2022
- Bulicek, M., Patel, V., Suli, E. and Sengul, Y. 2022. Existence and uniqueness of global weak solutions to strain-limiting viscoelasticity with Dirichlet boundary data. SIAM Journal on Mathematical Analysis 54(6), pp. 6186-6222. (10.1137/21M1455322)
- Sengul, Y. 2022. Global existence of solutions for the one-dimensional response of viscoelastic solids within the context of strain-limiting theory. In: Espanol, M. et al. eds. Research in Mathematics of Materials Science., Vol. 31. Association for Women in Mathematics Series Springer, pp. 319-332.
- Goncharov, A. and Sengul, Y. 2022. Quasi-equivalence of bases in some Whitney spaces. Canadian Mathematical Bulletin 65(1), pp. 106-115. (10.4153/S0008439521000114)
2021
- Sengul, Y. 2021. One-dimensional strain-limiting viscoelasticity with an arctangent type nonlinearity. Applications in Engineering Science 7, article number: 100058. (10.1016/j.apples.2021.100058)
- Goncharov, A. and Sengul, Y. 2021. Logarithmic dimension and bases in Whitney spaces. Turkish Journal of Mathematics 45(4), pp. 1580-1591. (10.3906/mat-2009-30)
- Bulicek, M., Patel, V., Sengul, Y. and Suli, E. 2021. Existence of large-data global weak solutions to a model of a strain-limiting viscoelastic body. Communications on Pure and Applied Analysis 20(5), pp. 1931-1960. (10.3934/cpaa.2021053)
- Sengul, Y. 2021. Viscoelasticity with limiting strain. Discrete and Continuous Dynamical Systems - Series S 14(1), pp. 57-70. (10.3934/dcdss.2020330)
- Sengul, Y. 2021. Nonlinear viscoelasticity of strain rate type: an overview. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477(2245), article number: 20200715. (10.1098/rspa.2020.0715)
2020
- Erbay, H. A., Erkip, A. and Sengul, Y. 2020. Local existence of solutions to the initial-value problem for one-dimensional strain-limiting viscoelasticity. Journal of Differential Equations 269(11), pp. 9720-9739. (10.1016/j.jde.2020.06.052)
- Erbay, H. A. and Sengul, Y. 2020. A thermodynamically consistent stress-rate type model of one-dimensional strain-limiting viscoelasticity. Zeitschrift für Angewandte Mathematik und Physik 71(3), article number: 94. (10.1007/s00033-020-01315-7)
2017
- Sengul, Y. and Vorotnikov, D. 2017. Generalized solutions for inextensible string equations. Journal of Differential Equations 262(6), pp. 3610-3641. (10.1016/j.jde.2016.11.040)
2015
- Erbay, H. A. and Sengul, Y. 2015. Traveling waves in one-dimensional non-linear models of strain-limiting viscoelasticity. International Journal of Non-Linear Mechanics 77, pp. 61-68. (10.1016/j.ijnonlinmec.2015.07.005)
- Ball, J. M. and Sengul, Y. 2015. Quasistatic nonlinear viscoelasticity and gradient flows. Journal of Dynamics and Differential Equations 27(3-4), pp. 405-442. (10.1007/s10884-014-9410-1)
2014
- Karagoz, A., Sengul, Y. and Basim, G. B. 2014. A Cahn-Hilliard modeling of metal oxide thin films for advanced CMP applications. ECS Transactions 61(17), pp. 15-20. (10.1149/06117.0015ecst)
- Mielke, A., Ortner, C. and Sengul, Y. 2014. An approach to nonlinear viscoelasticity via metric gradient flows. SIAM Journal on Mathematical Analysis 46(2), pp. 1317–1347. (10.1137/130927632)
Articles
- Poudel, R., Sengul Tezel, Y. and Mihai, L. A. 2024. Deformation localisation in stretched liquid crystal elastomers. Mechanics of Soft Materials 6, article number: 8. (10.1007/s42558-024-00063-2)
- Sengul, Y. 2024. A variational approach to frame-indifferent quasistatic viscoelasticity of rate type. Philosophical Transactions of the Royal Society of London Series A: Mathematical and Physical Sciences 382(2277), article number: 20230307. (10.1098/rsta.2023.0307)
- Erbay, H. A., Rajagopal, K. R., Saccomandi, G. and Şengül, Y. 2024. Dispersive transverse waves for a strain-limiting continuum model. Mathematics and Mechanics of Solids 29(6), pp. 1216-1227. (10.1177/10812865231188931)
- Rajagopal, K. R. and Sengul, Y. 2024. Solutions for the unsteady motion of porous elastic solids within the context of an implicit constitutive theory. International Journal of Non-Linear Mechanics 163, article number: 104728. (10.1016/j.ijnonlinmec.2024.104728)
- Bachmann, L., De Anna, F., Schlomerkemper, A. and Şengül, Y. 2023. Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 381(2263), article number: 20220374. (10.1098/rsta.2022.0374)
- Duman, E. and Sengul, Y. 2023. Stress-rate-type strain-limiting models for solids resulting from implicit constitutive theory. Advances in Continuous and Discrete Models 2023(6) (10.1186/s13662-023-03751-x)
- Bachmann, L., Schlömerkemper, A. and Sengul, Y. 2023. A variational approach to strain-limiting viscoelasticity in one space dimension. Pure and Applied Functional Analysis
- Bulicek, M., Patel, V., Suli, E. and Sengul, Y. 2022. Existence and uniqueness of global weak solutions to strain-limiting viscoelasticity with Dirichlet boundary data. SIAM Journal on Mathematical Analysis 54(6), pp. 6186-6222. (10.1137/21M1455322)
- Goncharov, A. and Sengul, Y. 2022. Quasi-equivalence of bases in some Whitney spaces. Canadian Mathematical Bulletin 65(1), pp. 106-115. (10.4153/S0008439521000114)
- Sengul, Y. 2021. One-dimensional strain-limiting viscoelasticity with an arctangent type nonlinearity. Applications in Engineering Science 7, article number: 100058. (10.1016/j.apples.2021.100058)
- Goncharov, A. and Sengul, Y. 2021. Logarithmic dimension and bases in Whitney spaces. Turkish Journal of Mathematics 45(4), pp. 1580-1591. (10.3906/mat-2009-30)
- Bulicek, M., Patel, V., Sengul, Y. and Suli, E. 2021. Existence of large-data global weak solutions to a model of a strain-limiting viscoelastic body. Communications on Pure and Applied Analysis 20(5), pp. 1931-1960. (10.3934/cpaa.2021053)
- Sengul, Y. 2021. Viscoelasticity with limiting strain. Discrete and Continuous Dynamical Systems - Series S 14(1), pp. 57-70. (10.3934/dcdss.2020330)
- Sengul, Y. 2021. Nonlinear viscoelasticity of strain rate type: an overview. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477(2245), article number: 20200715. (10.1098/rspa.2020.0715)
- Erbay, H. A., Erkip, A. and Sengul, Y. 2020. Local existence of solutions to the initial-value problem for one-dimensional strain-limiting viscoelasticity. Journal of Differential Equations 269(11), pp. 9720-9739. (10.1016/j.jde.2020.06.052)
- Erbay, H. A. and Sengul, Y. 2020. A thermodynamically consistent stress-rate type model of one-dimensional strain-limiting viscoelasticity. Zeitschrift für Angewandte Mathematik und Physik 71(3), article number: 94. (10.1007/s00033-020-01315-7)
- Sengul, Y. and Vorotnikov, D. 2017. Generalized solutions for inextensible string equations. Journal of Differential Equations 262(6), pp. 3610-3641. (10.1016/j.jde.2016.11.040)
- Erbay, H. A. and Sengul, Y. 2015. Traveling waves in one-dimensional non-linear models of strain-limiting viscoelasticity. International Journal of Non-Linear Mechanics 77, pp. 61-68. (10.1016/j.ijnonlinmec.2015.07.005)
- Ball, J. M. and Sengul, Y. 2015. Quasistatic nonlinear viscoelasticity and gradient flows. Journal of Dynamics and Differential Equations 27(3-4), pp. 405-442. (10.1007/s10884-014-9410-1)
- Karagoz, A., Sengul, Y. and Basim, G. B. 2014. A Cahn-Hilliard modeling of metal oxide thin films for advanced CMP applications. ECS Transactions 61(17), pp. 15-20. (10.1149/06117.0015ecst)
- Mielke, A., Ortner, C. and Sengul, Y. 2014. An approach to nonlinear viscoelasticity via metric gradient flows. SIAM Journal on Mathematical Analysis 46(2), pp. 1317–1347. (10.1137/130927632)
Book sections
- Sengul, Y. 2022. Global existence of solutions for the one-dimensional response of viscoelastic solids within the context of strain-limiting theory. In: Espanol, M. et al. eds. Research in Mathematics of Materials Science., Vol. 31. Association for Women in Mathematics Series Springer, pp. 319-332.
Ymchwil
Mae fy ymchwil, yn y termau mwyaf cyffredinol, ar ddadansoddi hafaliadau differol rhannol aflinol a'i gymwysiadau mewn gwyddoniaeth a pheirianneg faterol. Yn fwy penodol, mae gennyf ddiddordeb mewn modelu ymateb materol o safbwynt clasurol yn ogystal â defnyddio'r ddamcaniaeth gyfansoddol ymhlyg a ddatblygwyd yn ddiweddar. Mae gen i ddiddordeb hefyd yn theori llifoedd graddiant, systemau deinamig anfeidrol dimensiwn, a chalcwlws amrywiadau.
Cyllid
- Grant Bach Heilbronn (2022 - 2023)
- Gwobr Cronfa Gydweithredol Caerdydd - Illinois (2024)
- Ariannu Taith (sy'n dod i mewn - Twrci)(2024)
- INI Retreat (2024)
- Ariannu Taith (sy'n dod i mewn - UDA)(2025)
- Grant Cynllun 5 Cynllun Cymdeithas Fathemategol Llundain (2025)
Addysgu
- Rwy'n Gymrawd yr Academi Addysg Uwch (FHEA)
- Rwy'n Llysgennad STEM.
Rwy'n dysgu:
- Finite Elasticity
- Calculus o Amrywiadau
- Ddamcaniaethol Hylif Dynamics
Bywgraffiad
Derbyniodd Dr Şengül Tezel ei B.Sc. a graddau MS yn 2005 a 2006, yn y drefn honno, gan yr Adran Mathemateg ym Mhrifysgol Bilkent, Twrci. Cwblhaodd ei D.Phil. mewn Mathemateg yn y Sefydliad Mathemategol ym Mhrifysgol Rhydychen, y DU. Gweithiodd fel ymchwilydd ôl-ddoethurol rhwng 2010 a 2011 ym Mhrifysgol Coimbra, Portiwgal. Ar ôl gweithio yn Adran y Gwyddorau Naturiol a Mathemategol ym Mhrifysgol Özyeğin, Twrci, a'r Gyfadran Peirianneg a Gwyddorau Naturiol ym Mhrifysgol Sabancı, Twrci, ymunodd â Phrifysgol Caerdydd, Ysgol Mathemateg ym mis Hydref 2021.
Meysydd goruchwyliaeth
- Rabin Poudel (2022 - presennol): Mathemateg o elastomers crisial hylif
- (Cyd-oruchwyliwr) Luisa Bachmann, Prifysgol Wurzburg (2021 - Presennol): Dull amrywiol o ddatblygu viscoelasticity sy'n cyfyngu ar straen
Goruchwyliaeth gyfredol
Rabin Poudel
Myfyriwr ymchwil
Contact Details
+44 29208 75554
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