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International Journal of Engineering، جلد ۲۸، شماره ۵، صفحات ۸۰۲-۸۱۱
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| عنوان فارسی |
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| چکیده فارسی مقاله |
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| عنوان انگلیسی |
Nonlinear Bending Analysis of Sector Graphene Sheet Embedded in Elastic Matrix Based on Nonlocal Continuum Mechanics |
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| چکیده انگلیسی مقاله |
The nonlinear bending behavior of sector graphene sheets is studied subjected to uniform transverse loads resting on a Winkler-Pasternak elastic foundation using the nonlocal elasticity theory. Considering the nonlocal differential constitutive relations of Eringen theory based on first order shear deformation theory and using the von-Karman strain field, the equilibrium partial differential equations are derived. the nonlinear partial differential equations system is solved using the differential quadrature method (DQM) and a new semi analytical polynomial method (SAPM). By using the DQM or SAPM, the partial differential equations are converted to nonlinear algebraic equations, then the Newton–Raphson iterative scheme is applied to solve the resulting nonlinear algebraic equations system. The obtained results from DQM and SAPM are compared and observed the SAPM results are so close to DQM. Whereas, the SAPM’s formulations are considerably simpler than the DQM. Different boundary conditions including clamped, simply supported and free edges are considered. The obtained results are validated with available researches, then the small scale effects is investigated on the results due to various conditions such as outer radius to thickness ratio, boundary conditions, linear to nonlinear analysis, nonlocal to local analysis ratio, angle of the sector and stiffness value of elastic foundation. |
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| نویسندگان مقاله |
Masoud Tahani |
Mecanical Engineering, Ferdowsi University of Mashhad
Mehrdad Jabbarzadeh |
Mechanical Engineering, Islamic Azad University of Mashhad
Shahriar Dastjerdi |
Mechanical Engineering, Islamic Azad University of Mashhad
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| نشانی اینترنتی |
http://www.ije.ir/article_72519_2e35467d9c4e55605394d6017ccac1b0.pdf |
| فایل مقاله |
اشکال در دسترسی به فایل - ./files/site1/rds_journals/409/article-409-2062532.pdf |
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| زبان مقاله منتشر شده |
en |
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