Some New Approximate Solutions in Closed-Form to Problems of Nanobars

Eroglu, Ugurcan

doi:10.26701/ems.773106

Some New Approximate Solutions in Closed-Form to Problems of Nanobars

Uğurcan EROĞLU (İzmir Ekonomi Üniversitesi, Mühendislik Fakültesi, Makine Mühendisliği Bölümü, İzmir, Türkiye)

European Mechanical Science

2 0

Yıl: 2021 Cilt: 5 Sayı: 4 Sayfa Aralığı: 161 - 167 Metin Dili: İngilizce DOI: 10.26701/ems.773106 İndeks Tarihi: 29-07-2022

Some New Approximate Solutions in Closed-Form to Problems of Nanobars

Öz:

Following recent technological advancements, a great attention has been paid to the mechanical behaviour of structural elements of nanosize. In this study, some solutions to mechanical problems of bars of nanosize are examined using Eringen’s two-phase nonlocal elasticity. Assuming the fraction coefficient of nonlocal part of the material is small, a perturbation expansion with respect to it is performed. With this procedure, the original nonlocal problem is broken into a set of local elasticity problems. Solutions to some example problems of nanobars are provided in closed-form for the first time, and commented on. The new solutions provided herein may well serve for benchmark studies, as well as identification of material parameters of nano-sized structural elements, such as carbon nanotubes.

Anahtar Kelime: approximate methods nanobars nanomechanics closed-form solutions nonlocal elasticity

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Eroglu U (2021). Some New Approximate Solutions in Closed-Form to Problems of Nanobars. , 161 - 167. 10.26701/ems.773106
Chicago	Eroglu Ugurcan Some New Approximate Solutions in Closed-Form to Problems of Nanobars. (2021): 161 - 167. 10.26701/ems.773106
MLA	Eroglu Ugurcan Some New Approximate Solutions in Closed-Form to Problems of Nanobars. , 2021, ss.161 - 167. 10.26701/ems.773106
AMA	Eroglu U Some New Approximate Solutions in Closed-Form to Problems of Nanobars. . 2021; 161 - 167. 10.26701/ems.773106
Vancouver	Eroglu U Some New Approximate Solutions in Closed-Form to Problems of Nanobars. . 2021; 161 - 167. 10.26701/ems.773106
IEEE	Eroglu U "Some New Approximate Solutions in Closed-Form to Problems of Nanobars." , ss.161 - 167, 2021. 10.26701/ems.773106
ISNAD	Eroglu, Ugurcan. "Some New Approximate Solutions in Closed-Form to Problems of Nanobars". (2021), 161-167. https://doi.org/10.26701/ems.773106

APA	Eroglu U (2021). Some New Approximate Solutions in Closed-Form to Problems of Nanobars. European Mechanical Science, 5(4), 161 - 167. 10.26701/ems.773106
Chicago	Eroglu Ugurcan Some New Approximate Solutions in Closed-Form to Problems of Nanobars. European Mechanical Science 5, no.4 (2021): 161 - 167. 10.26701/ems.773106
MLA	Eroglu Ugurcan Some New Approximate Solutions in Closed-Form to Problems of Nanobars. European Mechanical Science, vol.5, no.4, 2021, ss.161 - 167. 10.26701/ems.773106
AMA	Eroglu U Some New Approximate Solutions in Closed-Form to Problems of Nanobars. European Mechanical Science. 2021; 5(4): 161 - 167. 10.26701/ems.773106
Vancouver	Eroglu U Some New Approximate Solutions in Closed-Form to Problems of Nanobars. European Mechanical Science. 2021; 5(4): 161 - 167. 10.26701/ems.773106
IEEE	Eroglu U "Some New Approximate Solutions in Closed-Form to Problems of Nanobars." European Mechanical Science, 5, ss.161 - 167, 2021. 10.26701/ems.773106
ISNAD	Eroglu, Ugurcan. "Some New Approximate Solutions in Closed-Form to Problems of Nanobars". European Mechanical Science 5/4 (2021), 161-167. https://doi.org/10.26701/ems.773106