The Finite Element Method: Its Basis and Fundamentals

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Butterworth-Heinemann, 26 mag 2005 - 752 pagine
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The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms.

• The classic FEM text, written by the subject's leading authors
• Enhancements include more worked examples and exercises
• With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problems

Active research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations.

Together with the second and third self-contained volumes (0750663219 and 0750663227), The Finite Element Method Set (0750664312) provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics.
  • The classic introduction to the finite element method, by two of the subject's leading authors
  • Any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in this key text

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Chapter 1 The standard discrete system and origins of the finite element method
plane stress
Chapter 3 Generalization of the finite element concepts Galerkinweighted residual and variational approaches
some general families of C0 continuity
Chapter 5 Mapped elements and numerical integration infinite and singularity elements
Chapter 6 Problems in linear elasticity
Chapter 7 Field problems heat conduction electric and magnetic potential and fluid flow
Chapter 8 Automatic mesh generation
Chapter 17 The time dimension discrete approximation in time
Chapter 18 Coupled systems
Chapter 19 Computer procedures for finite element analysis
Matrix algebra
Tensorindicial notation in the approximation of elasticity problems
Solution of simultaneous linear algebraic equations
Some integration formulae for a triangle
Some integration formulae for a tetrahedron

Chapter 9 The patch test reduced integration and nonconforming elements
Chapter 10 Mixed formulation and constraints complete field methods
Chapter 11 Incompressible problems mixed methods and other procedures of solution
Chapter 12 Multidomain mixed approximations domain decomposition and frame methods
Chapter 13 Errors recovery processes and error estimates
Chapter 14 Adaptive finite element refinement
Chapter 15 Pointbased and partition of unity approximations Extended finite element methods
Chapter 16 The time dimension semidiscretization of field and dynamic problems and analytical solution procedures
Some vector algebra
Integration by parts in two or three dimensions Greens theorem
Solutions exact at nodes
Matrix diagonalization or lumping
Author index
Subject index
Color Plate Section

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Pagina 19 - OC ZIENK.IEWICZ and YK CHEUNG, 'The finite element method for analysis of elastic isotropic and orthotropic slabs', Proc.
Pagina 20 - The displacement functions now define uniquely the state of strain within an element in terms of the nodal displacements. These strains, together with any initial strains and the...

Riferimenti a questo libro

Computational Inelasticity
J.C. Simo,T.J.R. Hughes
Anteprima non disponibile - 2000
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Informazioni sull'autore (2005)

O. C. Zienkiewicz was one of the early pioneers of the finite element method and is internationally recognized as a leading figure in its development and wide-ranging application. He was awarded numerous honorary degrees, medals and awards over his career, including the Royal Medal of the Royal Society and Commander of the British Empire (CBE). He was a founding author of The Finite Element Method books and developed them through six editions over 40 years up to his death in 2009.

R. L. Taylor is Emeritus Professor of Engineering and Professor in the Graduate School, Department of Civil and Environmental Engineering at the University of California, Berkeley.

J. Z. Zhu is a Senior Scientist at ProCAST, ESI Group, USA.

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