Isogeometric analysis of functionally graded plates using higher-order shear deformation theory
TLDR
In this article, a novel and effective formulation based on isogeometric approach (IGA) and higher-order deformation plate theory (HSDT) is presented to study the behavior of functionally graded material (FGM) plates.Abstract:
This paper presents a novel and effective formulation based on isogeometric approach (IGA) and higher-order deformation plate theory (HSDT) to study the behavior of functionally graded material (FGM) plates. HSDT model using C1 continuous element is able to improve the accuracy of solution and describe exactly the shear stress distribution without shear correction factors. IGA utilizes the non-uniform rational B-spline (NURBS) functions which allow us to achieve easily the smoothness with arbitrary continuity order. The present method hence fulfills the C1 – requirement of HSDT model. The effective material properties of the FGM plates, which property varies only through the thickness of plate, are calculated using the rule of mixture and the Mori–Tanaka homogenization technique. The static, dynamic and buckling analysis of rectangular and circular plates is investigated for different boundary conditions. Numerical results show high effectiveness of the present formulation.read more
Citations
More filters
Journal ArticleDOI
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
Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review
K. Swaminathan,D.T. Naveenkumar,Ashraf M. Zenkour,Ashraf M. Zenkour,Erasmo Carrera,Erasmo Carrera +5 more
TL;DR: In this article, a comprehensive review of the various methods employed to study the static, dynamic and stability behavior of Functionally Graded Material (FGM) plates is presented with an emphasis to present stress, vibration and buckling characteristics of FGM plates predicted using different theories.
Journal ArticleDOI
Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory
Chien H. Thai,António Ferreira,António Ferreira,Stéphane Bordas,Timon Rabczuk,Hung Nguyen-Xuan +5 more
TL;DR: In this paper, a new inverse tangent shear deformation theory (ITSDT) was presented for the static, free vibration and buckling analysis of laminated composite and sandwich plates.
Journal ArticleDOI
Generalized shear deformation theory for functionally graded isotropic and sandwich plates based on isogeometric approach
TL;DR: In this article, a generalized shear deformation theory for static, dynamic and buckling analysis of functionally graded material (FGM) made of isotropic and sandwich plates is presented.
Journal ArticleDOI
A refined quasi-3D isogeometric analysis for functionally graded microplates based on the modified couple stress theory
Hoang X. Nguyen,Tuan Nguyen,M. Abdel-Wahab,Stéphane Bordas,Stéphane Bordas,Hung Nguyen-Xuan,Hung Nguyen-Xuan,Thuc P. Vo +7 more
TL;DR: The NURBS-based isogeometric analysis is integrated to exactly describe the geometry and approximately calculate the unknown fields with higher-order derivative and continuity requirements and is successfully applied to study the static bending, free vibration and buckling responses of rectangular and circular functionally graded microplates.
References
More filters
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.
Book
Mechanics of Laminated Composite Plates and Shells : Theory and Analysis, Second Edition
TL;DR: The use of composite materials in engineering structures continues to increase dramatically, and there have been significant advances in modeling for general and composite materials and structures in particular as discussed by the authors. But the use of composites is not limited to the aerospace domain.
Journal ArticleDOI
Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement
TL;DR: In this article, the concept of isogeometric analysis is proposed and the basis functions generated from NURBS (Non-Uniform Rational B-Splines) are employed to construct an exact geometric model.
Journal ArticleDOI
A Simple Higher-Order Theory for Laminated Composite Plates
TL;DR: In this paper, a higher-order shear deformation theory of laminated composite plates is developed, which accounts for parabolic distribution of the transverse shear strains through the thickness of the plate.
Book
Mechanics of laminated composite plates and shells : theory and analysis
TL;DR: In this article, the authors present an analysis of the properties of composite materials using the classical and first-order theories of Laminated Composite Plates and shells, as well as a detailed analysis of their properties.