tailieunhanh - Ebook The finite element method (Vol 2: Solid Mechanics - 5th edition): Part 2

(BQ) Written by the pre-eminent professors in their fields, this new edition of the Finite Element Method maintains the comprehensive style of the earlier editions and authoritatively incorporates the latest developments of this dynamic field. Volume Two: Solid and Structural Mechanics is intended for readers studying structural mechanics at a higher level. | 7 Axisymmetric shells Introduction The problem of axisymmetric shells is of su cient practical importance to include in this chapter special methods dealing with their solution. While the general method described in the previous chapter is obviously applicable here, it will be found that considerable simpli®cation can be achieved if account is taken of axial symmetry of the structure. In particular, if both the shell and the loading are axisymmetric it will be found that the elements become `one-dimensional'. This is the simplest type of element, to which little attention was given in earlier chapters. The ®rst approach to the ®nite element solution of axisymmetric shells was presented by Grafton and In this, the elements are simple conical frustra and a direct approach via displacement functions is used. Re®nements in the derivation of the element sti ness are presented in Popov et and in Jones and An extension to the case of unsymmetrical loads, which was suggested in Grafton and Strome, is elaborated in Percy et and ;6 Later, much work was accomplished to extend the process to curved elements and indeed to re®ne the approximations involved. The literature on the subject is considerable, no doubt promoted by the interest in aerospace structures, and a complete bibliography is here impractical. References 7±15 show how curvilinear coordinates of various kinds can be introduced to the analysis, and references 9 and 14 discuss the use of additional nodeless degrees of freedom in improving accuracy. `Mixed' formulations (Chapter 11 of Volume 1) have found here some Early work on the subject is reviewed comprehensively by Gallagher17;18 and In axisymmetric shells, in common with all other shells, both bending and `inplane' or `membrane' forces will occur. These will be speci®ed uniquely in terms of the generalized `strains', which now involve extensions and changes in curvatures of the middle surface. If the

• Vật lý
• The finite element method
• Solid Mechanics
• Physical systems
• Axisymmetric shells
• Geometrically non linear problems
• Computer procedures
• Finite element analysis
• Further topics
• The boundary element method
• Computational aspects
• Lecture Finite element method
• Finite element method
• Basis equation of plane problem
• Finite element discretization
• Quadrilateral plane element
• Triangular plane element
• Introduction to the finite element method
• Finite element equations
• Heat transfer
• Fem for solid mechanics problems
• Finite elements
• The finite element method in engineering
• Interpolation models
• Isoparametric elements
• System equations
• Introduction to mechanics
• Fundamentals for finite element method
• FEM for beams
• FEM for frames
• FEM for Two Dimensional solids
• Finite element method using MATLAB
• CRC Mechanical engineering series
• Approximation techniques
• Finite element programming
• Direct approach
• Vietnam Journal of Mechanics
• Smoothed finite element method
• Two dimensional elasto plasticity
• The finite element
• The smoothed finite element method
• Mesh distortion and volumetric locking
• The isoparametric concept
• Higher order elements
• Adaptive finite element refinement
• The time dimension
• Couple systems
• Locking phenomena in finite element analysis
• Deep beam and removal method
• Exhibit slow convergence
• Finite Element Methods
• Bài giảng Phương pháp phần tử hữu hạn
• Stiffness method
• Stiffness matrix
• Boundary conditions
• Lecture Structural analysis
• Finite element
• Structural analysis
• Finite element approach
• Element approach
• A first course in the finite element method
• Introduction to the stiffness method
• Development of truss equations
• Development of beam equations
• The plane stress
• Numerical method
• Electro Magnetic analysis
• Thermal analysis
• Axisymmetric elements
• Isoparametric formulation
• Three dimensional stress analysis
• Plate bending element
• Vibrational principles
• Galerkin approximation
• Partial differential equations
• Isoparametric finite elements
• Historical introduction
• Weighted residual
• Variational methods
• Elliptic problems
• Heat and fluid flow
• Some basic discrete systems
• Steady state heat conduction
• Transient heat conduction analysis
• Truss structures
• Elasticity problem
• Basic equations
• Solution procedure
• Three dimensional problems
• Dynamic analysis
• 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
• The node based smoothed finite element method
• Free vibration problems
• The proposed formulation
• No spurious non zero energy modes
• Science and technology development
• Extended finite element method
• Simulating the mechanical behavior
• Multiple random holes and inclusions
• Functionally graded material
• The finite element method software
• Tạp chí khoa học và công nghệ
• Modeling the mechanical behavior
• Functionally graded material plates with multiple random inclusions
• Modeling of electromagnetic force
• Magnetic vector potential formulation via
• Sbproblem finite element method
• Subproblem finite element method
• Magnetic vector potential formulation