The subject of this work is the construction of some special ยฎnite elements for the numerical solution of Naghdi cylindrical shell problems. The standard numerical approximation of the shell problem is subjected to the shear and membrane locking phenomenon, i.e. the numerical solution degenerates fo
Mixed-interpolated finite elements for functionally graded cylindrical shells
โ Scribed by Claudia Chinosi; Lucia Della Croce
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 681 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0263-8223
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โฆ Synopsis
In this paper cylindrical shells made of functionally graded materials (FGMs) are studied. A two-constituent material distribution through the thickness is considered, varying with a simple power rule of mixture. The equations governing the FGMs shells are determined using a variational formulation arising from the Naghdi theory. Moreover a strategy to achieve an improved transverse shear factor is investigated by energy equivalence. To approximate the problem a family of mixed-interpolated finite elements is used. It is based on a suitable reduction of the shear and membrane energy. Several numerical simulations are carried out in order to show the capability of the proposed elements to capture the properties of shells of various gradings, subjected to thermo-mechanical loads.
๐ SIMILAR VOLUMES
In the present work, a study of free vibrations of functionally graded cylindrical shells made up of isotropic properties is carried out. A semi-analytical axisymmetric finite element model using the 3D linear elastic theory is developed. The 3D equations of motion are reduced to 2D by expanding the
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