tailieunhanh - Solution to the problem of the elastoplastic stability of thin rectangular plates in two cases of boundary condition

In this paper, the theory of the elastoplastic process is applied to derive the governing equations of stability problems of thin rectangular plates subjected to complex loading processes. The solution presented in the paper belongs to the two following cases of boundary condition. | Vietnam Journal of Mechanics, NCNST of Vietnam T. XX, 1998, No 4 (30 - 40) SOLUTION TO THE PROBLEM OF THE ELASTOPLASTIC STABILITY OF THIN RECTANGULAR PLATES IN TWO CASES OF BOUNDARY CONDITION VU CoNG HAM Le Quy Don Technical University 1. Introduction In this paper, the theory of the elastoplastic process is applied to derive the governing equations of stability problems of thin rectangular plates subjected to complex loading processes. The solution presented in the paper belongs to the two following cases of boundary condition 1) The considered plate has all four edges clamped stiffly. 2) The considered plate has two opposite edges clamped stiffly while the two others are simply supported. The plates with four edges simply supported has been considered in [4]. 2. Governing equations of the problem Let's consider a rectangular plate with the thickness h and the lengths of the edges a, b. The coordinate system Oxyz is chosen such that the middle surface of the plate coincides with the plane Oxy and the four edges can be described by X = 0, X = a, y = 0, y = b. The external forces acting on the plate are biaxial compression forces of intensity p, q and shear force r. The upper forces are assumed to be increasingly and depend arbitrarily on a some parameter t (the loading parameter) p = p(t), q = q(t), r = r(t) so that the loading is really performed in a arbitrary process. It is important to determine the critical values t = t*, p* = p(t*), q* = q(t*), r* = r(t*) at which an instability appears. 30 An analysis of the stability problem is always made in two stages: the-buckling stage and the post-buckling stage. 1. Pre-buclding stage At any moment t there exists a plane stress state i:q the plate uu = -p, u22 = -q, = -r, u12 Uta = u2a = uaa = 0 () so that u= uu + u22 3 p+q ---3 () The components of deformation velocity are determined accordi¥g to the theory of elastoplastic process [1]. In case of process with average curvature, they

• Cơ khí - Chế tạo máy
• Vietnam Journal of Mechanics
• Solution to the problem of the elastoplastic stability
• Thin rectangular plates
• Two cases of boundary condition
• Derive the governing equations
• 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