Journal ArticleDOI
Influence of Functionally Graded Material on Buckling of Skew Plates under Mechanical Loads
M. Ganapathi,M. Ganapathi,M. Ganapathi,T. Prakash,T. Prakash,T. Prakash,N. Sundararajan,N. Sundararajan,N. Sundararajan +8 more
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In this article, the critical buckling of simply supported functionally graded skew plate subjected to mechanical compressive loads is evaluated using first-order shear deformation theory in conjunction with the finite element approach.Abstract:
In this technical note, the critical buckling of simply supported functionally graded skew plate subjected to mechanical compressive loads is evaluated using first-order shear deformation theory in conjunction with the finite element approach. The material properties are assumed to vary in the thickness direction according to the power-law distribution in terms of volume fractions of the constituents. The effective material properties are estimated from the volume fractions and the properties of the constituents using the Mori–Tanaka homogenization method. The effects of aspect ratio, material gradient index, and skew angle on the critical buckling loads of functionally graded material plates are highlighted.read more
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A review of theories for the modeling and analysis of functionally graded plates and shells
Huu-Tai Thai,Seung-Eock Kim +1 more
TL;DR: A comprehensive review of various theories for the modeling and analysis of functionally graded plates and shells is presented in this paper, where a thorough review of the literature related to the development of three-dimensional elasticity solutions and a unified formulation is also presented.
Journal ArticleDOI
NURBS-based finite element analysis of functionally graded plates: Static bending, vibration, buckling and flutter
N. Valizadeh,Sundararajan Natarajan,Octavio Andrés González-Estrada,Timon Rabczuk,Tinh Quoc Bui,Stéphane Bordas +5 more
TL;DR: In this article, a non-uniform rational B-spline based iso-geometric finite element method is used to study the static and dynamic characteristics of functionally graded material (FGM) plates.
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A new sinusoidal shear deformation theory for bending, buckling, and vibration of functionally graded plates
Huu-Tai Thai,Thuc P. Vo +1 more
TL;DR: In this article, a new sinusoidal shear deformation theory is developed for bending, buckling, and vibration of functionally graded plates, and the closed-form solutions of simply supported plates are obtained.
Journal ArticleDOI
Free vibration and buckling analyses of CNT reinforced laminated non-rectangular plates by discrete singular convolution method
Ömer Civalek,Mehmet Avcar +1 more
TL;DR: In this paper, the free vibration and buckling analyses of functionally graded carbon nanotube-reinforced (FG-CNTR) laminated non-rectangular plates, i.e., quadrilateral and skew plates, using a four-nodded straight-sided transformation method.
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Stochastic perturbation-based finite element for buckling statistics of FGM plates with uncertain material properties in thermal environments
Mohammad Talha,Bhrigu Nath Singh +1 more
TL;DR: In this article, a stochastic perturbation-based finite element for buckling statistics of functionally graded plates (FGM) with uncertain material properties in thermal environments is investigated, where the effective material properties of the gradient plates are assumed to be temperature-dependent and vary in the thickness direction only according to the power law distribution of the volume fractions of the constituents.
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Journal ArticleDOI
Average stress in matrix and average elastic energy of materials with misfitting inclusions
Trevor A. Mori,K Tanaka +1 more
TL;DR: In this paper, a method of calculating the average internal stress in the matrix of a material containing inclusions with transformation strain is presented. But the authors do not consider the effects of the interaction among the inclusions and of the presence of the free boundary.
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A new approach to the application of Mori-Tanaka's theory in composite materials
TL;DR: In this paper, a reconsideration and reformulation of the Mori-Tanaka's theory in its application to the computation of the effective properties of composites is presented, which is a straightforward exposition and interpretation of the method which are different than those existing in previous formulations.
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Functionally graded metals and metal-ceramic composites: Part 2 Thermomechanical behaviour
Subra Suresh,Andreas Mortensen +1 more
TL;DR: In this article, a review of the processing of functionally graded metals and metal-ceramic composites is presented, focusing on the thermomechanical behavior of the materials. But the authors do not consider the deformation of the constituent phases of the composites.