Solid and fluid mechanics dynamics and non-linearity
著者
書誌事項
Solid and fluid mechanics dynamics and non-linearity
（The finite element method, v. 2）
McGraw-Hill, c1991
4th ed
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注記
Includes bibliographies and indexes
内容説明・目次
内容説明
This fourth edition has been divided into two volumes. Volume One, published in 1989, introduces the basic finite element approximation concepts and thereafter concentrates on simple linear static computations, which still provide the major part of the finite element usage. Special features of this edition include - work on the patch test; the essence of mixed-formulations; the new area of error estimation and adaptivity; and the concluding chapter incorporates a computer system which can be used to carry out numerical calculations for each problem area considered. Volume Two covers diverse applications and extends the power of the finite element method to new areas. It deals with four main topics: the first is that of plate and shell approximation including very recent developments. The second is the general area of non-linear problems where the basic outline of solution methods is presented for a variety of applications. The third topic is the extension into time domain transients where finite element approaches are outlined.
The fourth extends the coverage to problems of fluid mechanics where for the first time full element methods for a range of non-self adjoint equations are summarized and applications ranging from high-speed aeronautical applications to shallow water problems are presented.
目次
1 Plate and Shell Bending Approximation2OThick', Reissner-Mindlin Plates3 Shells as an Assembly of Flat Elements ODrilling' Degrees of Friction4 Axi-Symmetric Shells5 Shells as a Special Case of Three Dimensional Analysis6 Semi-Analytical Finite Element Processes7 Non-Linear Problems8 Geometrically Non-Linear Problems9 The Time Dimension-Semi-Discretization of Field and Dynamic Problems10 The Time Dimension Finite Element Approximation to Initial Value Transient Problem11 Coupled Problems12 Convection Dominated Problems (fluids)13 Fluid MechanicsGoverning Equations and Incompressible FlowNewtonian and Non-Newtonian Viscous Flow14 Fluid Mechanics. Compressible Gas Flow15 Fluid Mechanics16 Computation Procedures
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