Hanoi Architectural University

hau.edu.vn/
Hanoi, Vietnam

Hanoi Architectural University was established on September 17, 1969. The university belongs to Vietnam Ministry of Architecture . The school's predecessor is the Architecture Faculty of Hanoi University of Construction. The school is administered by Vietnam Ministry of Construction, under the management of the government in term of profession by Vietnam's Ministry of Education. Wikipedia.


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Huy Bich D.,Vietnam National University, Hanoi | Van Tung H.,Hanoi Architectural University
International Journal of Non-Linear Mechanics | Year: 2011

This paper presents an analytical approach to investigate the non-linear axisymmetric response of functionally graded shallow spherical shells subjected to uniform external pressure incorporating the effects of temperature. Material properties are assumed to be temperature-independent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. Equilibrium and compatibility equations for shallow spherical shells are derived by using the classical shell theory and specialized for axisymmetric deformation with both geometrical non-linearity and initial geometrical imperfection are taken into consideration. One-term deflection mode is assumed and explicit expressions of buckling loads and loaddeflection curves are determined due to Galerkin method. Stability analysis for a clamped spherical shell shows the effects of material and geometric parameters, edge restraint and temperature conditions, and imperfection on the behavior of the shells. © 2011 Elsevier Ltd.


Dinh Duc N.,Vietnam National University, Hanoi | Van Tung H.,Hanoi Architectural University
Composite Structures | Year: 2010

This paper presents an analytical approach to investigate nonlinear response of functionally graded cylindrical panels under uniform lateral pressure with temperature effects are incorporated. Material properties are assumed to be temperature-independent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. Equilibrium and compatibility equations for cylindrical panels are derived by using the classical shell theory with both geometrical nonlinearity in von Karman-Donnell sense and initial geometrical imperfection are taken into consideration. The resulting equations are solved by Galerkin method to determine explicit expressions of nonlinear load-deflection curves. Stability analysis for a simply supported panel shows the effects of material and geometric parameters, in-plane restraint and temperature conditions, and imperfection on the nonlinear response of the panel. © 2009 Elsevier Ltd. All rights reserved.


Tung H.V.,Hanoi Architectural University | Duc N.D.,Vietnam National University, Hanoi
Composite Structures | Year: 2010

This paper presents a simple analytical approach to investigate the stability of functionally graded plates under in-plane compressive, thermal and combined loads. Material properties are assumed to be temperature-independent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. Equilibrium and compatibility equations for functionally graded plates are derived by using the classical plate theory taking into account both geometrical nonlinearity in von Karman sense and initial geometrical imperfection. The resulting equations are solved by Galerkin procedure to obtain explicit expressions of postbuckling load-deflection curves. Stability analysis of a simply supported rectangular functionally graded plate shows the effects of the volume fraction index, plate geometry, in-plane boundary conditions, and imperfection on postbuckling behavior of the plate. © 2009 Elsevier Ltd. All rights reserved.


Duc N.D.,Vietnam National University, Hanoi | Van Tung H.,Hanoi Architectural University
Composite Structures | Year: 2011

This paper presents an analytical investigation on the buckling and postbuckling behaviors of thick functionally graded plates resting on elastic foundations and subjected to in-plane compressive, thermal and thermomechanical loads. Material properties are assumed to be temperature independent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. The formulations are based on higher order shear deformation plate theory taking into account Von Karman nonlinearity, initial geometrical imperfection and Pasternak type elastic foundation. By applying Galerkin method, closed-form relations of buckling loads and postbuckling equilibrium paths for simply supported plates are determined. Analysis is carried out to show the effects of material and geometrical properties, in-plane boundary restraint, foundation stiffness and imperfection on the buckling and postbuckling loading capacity of the plates. © 2011 Elsevier Ltd.


This paper presents an analytical approach to investigate the nonlinear axisymmetric response of functionally graded (FG) shallow spherical shells (SSSs) resting on elastic foundations, exposed to thermal environment and subjected to uniform external pressure. Material properties are assumed to be temperature-independent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. Formulations are based on the first order shear deformation shell theory taking geometrical nonlinearity, initial geometrical imperfection, Pasternak type elastic foundations and tangential edge restraints into consideration. Approximate solutions are assumed to satisfy clamped boundary conditions and Galerkin method is applied to derive explicit expressions of buckling loads and load-deflection relations. The effects of material and geometrical properties, foundation stiffness parameters, degree of tangential restraint, temperature field and imperfection on the buckling behavior and load carrying capacity of FG SSSs are analyzed and discussed. © 2016 Elsevier Ltd.


This paper investigates nonlinear bending and postbuckling behavior of functionally graded sandwich plates resting on elastic foundations and subjected to uniform external pressure, thermal loading and uniaxial compression in thermal environment. The material properties of both face sheets and core layer are assumed to be temperature-dependent, and effective material properties of FGM layers are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. Formulations are based on first order shear deformation theory taking von Karman nonlinearity, initial geometrical imperfection, Pasternak type elastic foundations and tangential edge constraints into consideration. Approximate solutions are assumed and Galerkin procedure is applied to derive nonlinear relations of load and deflection. In thermal postbuckling analysis, an iteration algorithm is adopted to obtain buckling temperatures and postbuckling curves. The effects of material, geometry and foundation stiffness parameters, face sheet thickness to total thickness ratio, imperfection and degree of tangential restraint of edges on the nonlinear bending and postbuckling behavior of FGM sandwich plates are analyzed and discussed in detail. © 2015 Elsevier Ltd.


This paper presents an analytical approach to investigate the buckling and postbuckling behavior of functionally graded cylindrical shells subjected to thermal and axial compressive loads. Material properties are assumed to be temperature dependent and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. The governing equations are established within the framework of classical thin shallow shell theory taking both geometrical nonlinearity in von Kármán-Donnell sense and initial imperfection into consideration. Thermal stability analysis also incorporates the effects of tangential edge constraints. A Galerkin procedure is applied to derive expressions of load-deflection relations from which the thermal buckling loads and postbuckling curves of the shells are obtained by an iteration. Effects played by material and geometrical properties, tangential stiffness, imperfection and buckling modes are discussed. © 2013 Springer-Verlag Wien.


This paper presents an analytical approach to investigate the effects of tangential edge constraints on the buckling and postbuckling behavior of functionally graded flat and cylindrical panels subjected to thermal, mechanical and thermomechanical loads and resting on elastic foundations. Material properties are assumed to be temperature independent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. Governing equations are derived basing on the classical shell theory incorporating von Karman-Donnell type nonlinearity, initial geometrical imperfection and Pasternak type elastic foundations. Approximate solutions are assumed and Galerkin procedure are applied to obtain explicit expressions of buckling loads and load-deflection relations. The effects of in-plane edge restraint, elastic foundation, temperature and imperfection on the nonlinear response of the panels are graphically analyzed. © 2013 Elsevier Ltd.


This paper presents an analytical approach to investigate the nonlinear stability of clamped functionally graded material (FGM) shallow spherical (SS) shells and circular plates resting on elastic foundations, subjected to uniform external pressure and exposed to thermal environments. Material properties are assumed to be temperature dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. Formulations for axisymmetrically deformed SS shells are based on the first order shear deformation theory taking geometrical nonlinearity, initial geometrical imperfection and interaction of Pasternak type elastic foundations into consideration. Approximate solutions are assumed to satisfy clamped immovable boundary conditions and Galerkin method is applied to derive expressions of buckling loads and load-deflection curves for FGM SS shells. Specialization of these expressions gives corresponding relations of FGM circular plates, and an iterative algorithm is adopted to obtain buckling temperatures and postbuckling temperature-deflection curves for thermally loaded FGM circular plates. The effects of material, geometry and foundation parameters, imperfection and temperature dependence of material properties on the nonlinear response of FGM SS shells and circular plates are analyzed and discussed in detail. © 2014 Elsevier Ltd.


Tran T.N.,Hanoi Architectural University
International Journal for Numerical Methods in Engineering | Year: 2011

In this paper, the duality between the lower and the upper bound shakedown analyses of plate bending is presented. Based on the duality theory, the shakedown load multiplier formulated by static theorem is proved actually to be the dual form of the shakedown load multiplier formulated by kinematic theorem. A dual algorithm based upon the von Mises yield criterion and a non-linear optimization procedure is then developed to compute simultaneously both the upper and lower bounds of the plastic collapse limit and the shakedown limit. The DKQ plate bending element is used to discrete the problem field. Numerical examples are presented to show the excellent convergence and accuracy of solutions obtained by the present method. © 2011 John Wiley & Sons, Ltd.

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