tailieunhanh - Non-linear buckling analysis of functionally graded shallow spherical shells

In the present paper the non-linear buckling analysis of functionally graded spherical shells subj ected to external pressure is investigated. The material properties are graded in the t hickness direction according to the power-law distribution in terms of volume fractions of the constituents of the material. In t he formulation of governing equations geometric non-linearity in all strain-displacement relations of the shell is considered. | Vietnam Journal of Mechanics, VAST, , No. l (2009), pp. 17 - 30 NON-LINEAR BUCKLING ANALYSIS OF FUNCTIONALLY GRADED SHALLOW SPHERICAL SHELLS Dao Huy Bich Vietnam National University, Hanoi Abstract. In the present paper the non-linear buckling analysis of functionally graded spherical shells subj ected to external pressure is investigated. The material properties are graded in the t hickness direction according to the power-law distribution in terms of volume fractions of the constituents of the material. In t he formulation of governing equations geometric non-linearity in all strain-displacement relations of the shell is considered. Using Bubnov-Galerkin's method to solve the problem an approximated analytical expression of non-linear buckling loads of functionally graded spherical shells is obtained , that allows easily to investigate stability behaviors of the shell. 1. INTRODUCTION A new class of materials, called functionally graded materials (FGMs), has received considerable attention for improved structural efficiency in space structures and nuclear reactors. FGMs are microscopically inhomogeneous, in which the material properties vary smoothly and continuously from one surface of the material to the other surface. This is achieved by gradually varying the volume fractions of the constituent materials. These materials are made from a mixture of ceramic and metal, or combination of different materials [l]. In recent years, important studies have been researched about t he stability and vibration of functionally graded plates and cylindrical shells. Birman [2] presented a formulation of the slitability problem for functionally graded hybrid composite plates subjected to uniaxial compression. Feldman and Aboudi [3] studied elastic bifurcation of functionally graded plates acted on by compressive loading. Reddy et al [4] gave bending solution for FGM circular plates and annular plates. In the works [5, 6] a free vib-ration analysis of FGM cylindrical

• Vật lý
• Vietnam Journal of Mechanics
• Non linear buckling analysis
• Functionally graded shallow spherical shells
• Strain displacement relations
• Functionally graded materials
• Dang Dinh Ang
• Nonlinear analysis and mechanics
• Dynamic problems involving stationary cracks
• The Wiener Hopt technique
• Dual integral equations
• Dual integrals in non linear fracture mechanics
• Non linear fracture mechanics
• Energy release rate
• Discuss the obtained
• The alpha finite element method (αFEM)
• Solid mechanics using triangular and tetrahedral elements
• Suitable computational cost
• NS FEM makes
• The upper bound property
• Non linear constitutive problems in solid mechanics
• Non linear constitutive problems
• Languages Gibian and special operators
• The application FEM
• Betts miller janjic convective parameterization scheme
• H14 31 model to forecast heavy rainfall in Vietnam
• Betts Miller Janjic
• Three rain seasons
• Manufacturing dry mixed cement mortar
• High compressive strength
• High flexural strength
• Low shrinkage and high watertightness for restoration
• Damaged hydraulic structures in Vietnam
• Standard gradient models and crack simulation
• Standard gradient models
• The propagation of cracks
• Damage mechanics and crack simulation
• The interaction between two parametric excitations
• The second and third degrees
• The asymptotic method of nonlinear mechanics
• Dynamic system governed
• Comparison of two hydrological model simulations
• Nam and Xinanjiang for Nong Son catchment
• The Central Vietnam
• The runoff components
• 3 D numerical simulation
• The tidal circulation
• The gulf of Tonkin
• The kinetic energy distribution
• Duality in the analysis of responses to nonlinear systems
• The analysis of responses
• The original nonlinear systems
• The study of nonlinear mechanics
• Aerodynamics of a wing in surface effect ship
• Theory and experiment
• Wing in surface effect ship
• The aerodynamic characteristics
• The Institute of Mechanics
• The error estimate
• The convergence rate for h
• p refinement
• The finite element analysis
• Three dimensional elastostatic mechanics problems
• Some initial experimental results
• Free water layer formation in horizontal pipes
• Water layer formation
• Hanoi Institute of Mechanics
• Bending vibration of beam elements under moving loads
• Considering vehicle braking forces
• Fluctuations of structures
• Beam elements according
• Continuous element for vibration analysis
• Thick shells of revolution
• Continous Element Method
• Finite element solutions
• Natural frequencies and harmonic responses
• Cast3m implementation of the extended finite element method
• The extended finite element method for cohesive crack
• Quasi brittle materia
• The proposed implementation
• The displacement discontinuities
• Buckling analysis of simply supported composite laminates subjected
• In plane compression load
• A novel mesh ffree method
• Alternative numerical technique
• Mesh free method
• A three story building
• Hedge algebras based fuzzy controller
• The structural system
• The El Centro earthquake
• Three story building against earthquake
• Laminar separation phenomenon combining with numerical calculations
• The turbulent separation
• The laminar separation
• Experimental study on mechanical properties
• Three phase polymer composite reinforced
• Glass fibers and titanium oxide particles
• Polymer composite reinforced
• Three phase composite
• Dynamic characteristics of elastically supported beam subjected
• A compressive axial force and a moving load
• The implicit Newmark method
• The Galerkin finite element method
• The axial force
• Eccentrically stiffened functionally graded plates and shallow shells
• Von Karman Donnell sense
• The formulation of governing equations
• The classical shell theory
• Mathematical modelling and control of the evolution
• Dynamic systems interacting with medium
• Mathematical modeling evolutional systems interacting
• Two conjugate mechanical subsystems
• Evaluating structural safety based on fuzzy set theory
• Evaluating structural safety
• The fuzzy reliability
• Simple beam structure