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DEĞİŞTİRİLMİŞ GERİLME ÇİFTİ TEORİSİ İLE GÖZENEKLİ FONKSİYONEL DERECELENDİRİLMİŞ KONSOL NANO-KİRİŞLERİN STATİK ANALİZİ

Year 2024, Volume: 29 Issue: 2, 393 - 412, 30.08.2024

Uğur Kafkas

https://doi.org/10.17482/uumfd.1459934

Abstract

Üretim aşamasında çeşitli sorunlar sebebiyle gözenek oluşumu fonksiyonel derecelendirilmiş kirişlerde sıklıkla gözlemlenmektedir. Bu çalışmada gözenekli fonksiyonel derecelendirilmiş konsol nanokirişlerin değiştirilmiş gerilme çifti teorisi çerçevesinde sonlu elemanlar yöntemi kullanılarak statik yükler altında düşey yer değiştirmeleri incelenmiştir. Fonksiyonel derecelendirilmiş kirişlerin malzeme dağılımlarında kuvvet yasası teorisi, gözenek dağılımı içinse düzenli ve düzensiz dağılım olmak üzere iki model kullanılmıştır. Çalışma kapsamında gözeneksiz ve gözenekli fonksiyonel derecelendirilmiş konsol nano-kirişlerin düşey yer değiştirmelerinde, gözenek dağılım modellerinin, gözeneklilik parametresinin, değiştirilmiş gerilme çifti teorisinden gelen malzeme uzunluk ölçeği parametresinin ve kuvvet yasası parametresinin etkisi tablolar ve şekiller vasıtasıyla sunulmuştur. Çalışmada, malzeme uzunluk ölçeği parametresinin nano-kirişin rijitliğini arttırıcı etkisinin olduğu ve düzensiz gözenek dağılımına sahip nanokirişlerin, düzenli gözenek dağılımına sahip olanlara göre daha rijit davrandığı sonuçlarına ulaşılmıştır.

Keywords

Fonksiyonel derecelendirilmiş malzeme Gözeneklilik Nano-kiriş Değiştirilmiş gerilme çifti teorisi Sonlu elemanlar yöntemi

References

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Static Analysis of Porous Functionally Graded Cantilever Nano-Beams Via Modified Couple Stress Theory

Year 2024, Volume: 29 Issue: 2, 393 - 412, 30.08.2024

Uğur Kafkas

https://doi.org/10.17482/uumfd.1459934

Abstract

Porosity formation is a common phenomenon in functionally graded beams due to various problems during the manufacturing process. This study uses the finite element method within the modified couple stress theory framework to investigate vertical displacements of porous functionally graded cantilever nano-beams under static loads. Power law theory is used for the material distribution of the functionally graded beams, and two models are used for the porosity distribution, namely even and uneven distribution. Within the scope of the study, the effect of porosity distribution models, porosity parameter, material length scale parameter from modified couple stress theory and power law parameter on the vertical displacements of non-porous and porous functionally graded cantilever nano-beams are presented in tables and figures. It is concluded that the material length scale parameter has an increasing effect on the stiffness of the nano-beam and that nano-beams with uneven porosity distribution behave more rigidly than those with even porosity distribution.

Keywords

Functionally graded material Porosity Nano-beam Modified couple stress theory Finite element method

References

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  • Akbaş, Ş. D. (2018). Forced vibration analysis of functionally graded porous deep beams. Composite Structures, 186, 293-302. https://doi.org/10.1016/j.compstruct.2017.12.013
  • Akgöz, B. ve Civalek, Ö. (2011). Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beams. International Journal of Engineering Science, 49(11), 1268-1280. https://doi.org/10.1016/j.ijengsci.2010.12.009
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  • Alnujaie, A., Akbas, S. D., Eltaher, M. A. ve Assie, A. E. (2021). Damped forced vibration analysis of layered functionally graded thick beams with porosity. Smart Structures and Systems, 27(4), 679-689. https://doi.org/https://doi.org/10.12989/sss.2021.27.4.669
  • Arefi, M., ve Amabili, M. (2021). A comprehensive electro-magneto-elastic buckling and bending analyses of three-layered doubly curved nanoshell, based on nonlocal threedimensional theory. Composite Structures, 257, 113100. https://doi.org/10.1016/j.compstruct.2020.113100
  • Arefi, M., Mohammad-Rezaei Bidgoli, E., Dimitri, R., Bacciocchi, M. ve Tornabene, F. (2019). Nonlocal bending analysis of curved nanobeams reinforced by graphene nanoplatelets. Composites Part B: Engineering, 166, 1-12. https://doi.org/10.1016/j.compositesb.2018.11.092
  • Arshad, S. H., Naeem, M. N., ve Sultana, N. (2007). Frequency analysis of functionally graded material cylindrical shells with various volume fraction laws. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 221(12), 1483-1495. https://doi.org/10.1243/09544062JMES738
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  • Chen, D., Gao, K., Yang, J. ve Zhang, L. (2023). Functionally graded porous structures: Analyses, performances, and applications – A Review. Thin-Walled Structures, 191, 111046. https://doi.org/10.1016/j.tws.2023.111046
  • Civalek, Ö., Ersoy, H., Uzun, B. ve Yaylı, M. Ö. (2023). Dynamics of a FG porous microbeam with metal foam under deformable boundaries. Acta Mechanica, 234(11), 5385-5404. https://doi.org/10.1007/s00707-023-03663-7
  • Civalek, Ö., Uzun, B., ve Yaylı, M. Ö. (2020). Frequency, bending and buckling loads of nanobeams with different cross sections. Advances in Nano Research, 9(2), 91-104. https://doi.org/10.12989/anr.2020.9.2.091
  • Daghigh, H., Daghigh, V., Milani, A., Tannant, D., Lacy, T. E. ve Reddy, J. N. (2020). Nonlocal bending and buckling of agglomerated CNT-Reinforced composite nanoplates. Composites Part B: Engineering, 183, 107716. https://doi.org/10.1016/j.compositesb.2019.107716
  • Dastjerdi, S., ve Akgöz, B. (2019). On the statics of fullerene structures. International Journal of Engineering Science, 142, 125-144. https://doi.org/10.1016/j.ijengsci.2019.06.002
  • Dastjerdi, S., Malikan, M., Akgöz, B., Civalek, Ö., Wiczenbach, T. ve Eremeyev, V. A. (2022). On the deformation and frequency analyses of SARS-CoV-2 at nanoscale. International Journal of Engineering Science, 170, 103604. https://doi.org/10.1016/j.ijengsci.2021.103604
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There are 71 citations in total.

Details

Primary Language Turkish
Subjects Civil Engineering (Other)
Journal Section Research Articles
Authors

Uğur Kafkas 0000-0003-1730-7810

Early Pub Date August 20, 2024
Publication Date August 30, 2024
Submission Date March 27, 2024
Acceptance Date May 20, 2024
Published in Issue Year 2024 Volume: 29 Issue: 2

Cite

APA Kafkas, U. (2024). DEĞİŞTİRİLMİŞ GERİLME ÇİFTİ TEORİSİ İLE GÖZENEKLİ FONKSİYONEL DERECELENDİRİLMİŞ KONSOL NANO-KİRİŞLERİN STATİK ANALİZİ. Uludağ Üniversitesi Mühendislik Fakültesi Dergisi, 29(2), 393-412. https://doi.org/10.17482/uumfd.1459934
AMA Kafkas U. DEĞİŞTİRİLMİŞ GERİLME ÇİFTİ TEORİSİ İLE GÖZENEKLİ FONKSİYONEL DERECELENDİRİLMİŞ KONSOL NANO-KİRİŞLERİN STATİK ANALİZİ. UUJFE. August 2024;29(2):393-412. doi:10.17482/uumfd.1459934
Chicago Kafkas, Uğur. “DEĞİŞTİRİLMİŞ GERİLME ÇİFTİ TEORİSİ İLE GÖZENEKLİ FONKSİYONEL DERECELENDİRİLMİŞ KONSOL NANO-KİRİŞLERİN STATİK ANALİZİ”. Uludağ Üniversitesi Mühendislik Fakültesi Dergisi 29, no. 2 (August 2024): 393-412. https://doi.org/10.17482/uumfd.1459934.
EndNote Kafkas U (August 1, 2024) DEĞİŞTİRİLMİŞ GERİLME ÇİFTİ TEORİSİ İLE GÖZENEKLİ FONKSİYONEL DERECELENDİRİLMİŞ KONSOL NANO-KİRİŞLERİN STATİK ANALİZİ. Uludağ Üniversitesi Mühendislik Fakültesi Dergisi 29 2 393–412.
IEEE U. Kafkas, “DEĞİŞTİRİLMİŞ GERİLME ÇİFTİ TEORİSİ İLE GÖZENEKLİ FONKSİYONEL DERECELENDİRİLMİŞ KONSOL NANO-KİRİŞLERİN STATİK ANALİZİ”, UUJFE, vol. 29, no. 2, pp. 393–412, 2024, doi: 10.17482/uumfd.1459934.
ISNAD Kafkas, Uğur. “DEĞİŞTİRİLMİŞ GERİLME ÇİFTİ TEORİSİ İLE GÖZENEKLİ FONKSİYONEL DERECELENDİRİLMİŞ KONSOL NANO-KİRİŞLERİN STATİK ANALİZİ”. Uludağ Üniversitesi Mühendislik Fakültesi Dergisi 29/2 (August 2024), 393-412. https://doi.org/10.17482/uumfd.1459934.
JAMA Kafkas U. DEĞİŞTİRİLMİŞ GERİLME ÇİFTİ TEORİSİ İLE GÖZENEKLİ FONKSİYONEL DERECELENDİRİLMİŞ KONSOL NANO-KİRİŞLERİN STATİK ANALİZİ. UUJFE. 2024;29:393–412.
MLA Kafkas, Uğur. “DEĞİŞTİRİLMİŞ GERİLME ÇİFTİ TEORİSİ İLE GÖZENEKLİ FONKSİYONEL DERECELENDİRİLMİŞ KONSOL NANO-KİRİŞLERİN STATİK ANALİZİ”. Uludağ Üniversitesi Mühendislik Fakültesi Dergisi, vol. 29, no. 2, 2024, pp. 393-12, doi:10.17482/uumfd.1459934.
Vancouver Kafkas U. DEĞİŞTİRİLMİŞ GERİLME ÇİFTİ TEORİSİ İLE GÖZENEKLİ FONKSİYONEL DERECELENDİRİLMİŞ KONSOL NANO-KİRİŞLERİN STATİK ANALİZİ. UUJFE. 2024;29(2):393-412.

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