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A Stress Approach Model of Functionally Graded Shells
المؤلفون المشاركون
Díaz Díaz, Alberto
Rubio Rascón, Carlos Humberto
Domínguez Alvarado, Axel Fernando
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-16، 16ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2020-08-13
دولة النشر
مصر
عدد الصفحات
16
التخصصات الرئيسية
الملخص EN
This paper presents a model called SAM-FG (stress approach model of functionally graded shells) for linear elastic, thin, and moderately thick shells made of functionally graded materials.
The model is an extension of the SAM-H model, originally created for homogeneous shells.
Assuming that the material is orthotropic and that one of its orthotropic directions is the thickness direction, the extension consists in considering that the 3D compliance tensor may depend on the thickness coordinate.
The model starts with a tunable polynomial approximation of the 3D stress field that contains the same generalized forces as SAM-H.
This stress approximation verifies the 3D equilibrium equations and the stress boundary conditions at the faces of the shell.
As in SAM-H, 5 generalized displacements appear in SAM-FG.
By applying the Hellinger–Reissner functional and Reissner’s variational method, the generalized forces, strains, and equations in SAM-FG turn out to be the same as in SAM-H, except for the generalized constitutive equations.
To prove the accuracy of the model, SAM-FG is first applied to a simply supported, functionally graded plate and its results are compared to other models.
To validate the model for shell-like structures, SAM-FG results are compared to those obtained with solid finite element calculations for three case studies of structures subjected to an internal pressure.
The first one deals with a hollow sphere made of an isotropic functionally graded material.
The second case considers a hollow cylinder made of an orthotropic functionally graded material.
In the last case, a catenoid with an isotropic functionally graded material is studied.
In all cases, the mean displacements are correctly predicted, even if the main purpose of the SAM-FG model is not to calculate these fields accurately.
The stress field approximations are very accurate, and since the implementation of the shell model in a finite element code would imply 5 degrees of freedom per node, SAM-FG is a good alternative to solid finite element calculations for the structural analysis of functionally graded shells with a reasonable computational cost.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Rubio Rascón, Carlos Humberto& Díaz Díaz, Alberto& Domínguez Alvarado, Axel Fernando. 2020. A Stress Approach Model of Functionally Graded Shells. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1197955
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Rubio Rascón, Carlos Humberto…[et al.]. A Stress Approach Model of Functionally Graded Shells. Mathematical Problems in Engineering No. 2020 (2020), pp.1-16.
https://search.emarefa.net/detail/BIM-1197955
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Rubio Rascón, Carlos Humberto& Díaz Díaz, Alberto& Domínguez Alvarado, Axel Fernando. A Stress Approach Model of Functionally Graded Shells. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1197955
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1197955
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
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