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The Finite Element Method: Its Basis and Fundamentals

The Finite Element Method: Its Basis and Fundamentals
Author: Olek C Zienkiewicz
Publisher: Elsevier
Total Pages: 753
Release: 2005-05-26
Genre: Technology & Engineering
ISBN: 008047277X

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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


The Finite Element Method Set

The Finite Element Method Set
Author: Olek C Zienkiewicz
Publisher: Elsevier
Total Pages: 1872
Release: 2005-11-25
Genre: Technology & Engineering
ISBN: 9780080531670

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The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics. * This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference


The Finite Element Method: Solid mechanics

The Finite Element Method: Solid mechanics
Author: O. C. Zienkiewicz
Publisher: Butterworth-Heinemann
Total Pages: 482
Release: 2000
Genre: Continuum mechanics
ISBN: 9780750650557

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The Finite Element Method

The Finite Element Method
Author: Robert L. Taylor
Publisher: Butterworth-Heinemann
Total Pages: 0
Release: 2024-11-01
Genre: Technology & Engineering
ISBN: 9780443160448

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The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications. This edition sees the significant addition of content addressing coupling problems, including: Finite element analysis formulations for coupled problems; Details of algorithms for solving coupled problems; Examples showing how algorithms can be used to solve for piezoelectricity and poroelasticity problems. Focusing on the core knowledge, mathematical and analytical tools needed for successful application, The Finite Element Method: Its Basis and Fundamentals is the authoritative resource of choice for graduate level students, researchers and professional engineers involved in finite element-based engineering analysis.


The Finite Element Method for Solid and Structural Mechanics

The Finite Element Method for Solid and Structural Mechanics
Author: Olek C Zienkiewicz
Publisher: Elsevier
Total Pages: 736
Release: 2005-08-09
Genre: Technology & Engineering
ISBN: 0080455581

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This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling


Fundamentals of Finite Element Analysis

Fundamentals of Finite Element Analysis
Author: David V. Hutton
Publisher: McGraw-Hill Companies
Total Pages: 494
Release: 2004
Genre: Mathematics
ISBN:

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This new text, intended for the senior undergraduate finite element course in civil or mechanical engineering departments, gives students a solid basis in the mechanical principles of the finite element method and provides a theoretical foundation for applying available software analysis packages and evaluating the results obtained. Dr. Hutton discusses basic theory of the finite element method while avoiding variational calculus, instead focusing upon the engineering mechanics and mathematical background that may be expected of a senior undergraduate engineering student. The text relies upon basic equilibrium principles, introduction of the principle of minimum potential energy, and the Galerkin finite element method, which readily allows application of the FEM to nonstructural problems. The text is software-independent, making it flexible enough for use in a wide variety of programs, and offers a good selection of homework problems and examples.


The Finite Element Method for Elliptic Problems

The Finite Element Method for Elliptic Problems
Author: P.G. Ciarlet
Publisher: Elsevier
Total Pages: 551
Release: 1978-01-01
Genre: Mathematics
ISBN: 0080875254

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The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book should also serve as an introduction to current research on this subject. On the one hand, it is also intended to be a working textbook for advanced courses in Numerical Analysis, as typically taught in graduate courses in American and French universities. For example, it is the author’s experience that a one-semester course (on a three-hour per week basis) can be taught from Chapters 1, 2 and 3 (with the exception of Section 3.3), while another one-semester course can be taught from Chapters 4 and 6. On the other hand, it is hoped that this book will prove to be useful for researchers interested in advanced aspects of the numerical analysis of the finite element method. In this respect, Section 3.3, Chapters 5, 7 and 8, and the sections on “Additional Bibliography and Comments should provide many suggestions for conducting seminars.


TEXTBOOK OF FINITE ELEMENT ANALYSIS

TEXTBOOK OF FINITE ELEMENT ANALYSIS
Author: P. SESHU
Publisher: PHI Learning Pvt. Ltd.
Total Pages: 340
Release: 2003-01-01
Genre: Mathematics
ISBN: 8120323157

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Designed for a one-semester course in Finite Element Method, this compact and well-organized text presents FEM as a tool to find approximate solutions to differential equations. This provides the student a better perspective on the technique and its wide range of applications. This approach reflects the current trend as the present-day applications range from structures to biomechanics to electromagnetics, unlike in conventional texts that view FEM primarily as an extension of matrix methods of structural analysis. After an introduction and a review of mathematical preliminaries, the book gives a detailed discussion on FEM as a technique for solving differential equations and variational formulation of FEM. This is followed by a lucid presentation of one-dimensional and two-dimensional finite elements and finite element formulation for dynamics. The book concludes with some case studies that focus on industrial problems and Appendices that include mini-project topics based on near-real-life problems. Postgraduate/Senior undergraduate students of civil, mechanical and aeronautical engineering will find this text extremely useful; it will also appeal to the practising engineers and the teaching community.


Theory and Practice of Finite Elements

Theory and Practice of Finite Elements
Author: Alexandre Ern
Publisher: Springer Science & Business Media
Total Pages: 531
Release: 2013-03-09
Genre: Mathematics
ISBN: 1475743556

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This text presenting the mathematical theory of finite elements is organized into three main sections. The first part develops the theoretical basis for the finite element methods, emphasizing inf-sup conditions over the more conventional Lax-Milgrim paradigm. The second and third parts address various applications and practical implementations of the method, respectively. It contains numerous examples and exercises.