Finite Element Methods For Engineers (2nd Edition)

Finite Element Methods For Engineers (2nd Edition)

Author: Roger T Fenner

Publisher: World Scientific Publishing Company

Published: 2013-01-17

Total Pages: 272

ISBN-13: 1908979674

DOWNLOAD EBOOK

This book is intended as a textbook providing a deliberately simple introduction to finite element methods in a way that should be readily understandable to engineers, both students and practising professionals. Only the very simplest elements are considered, mainly two dimensional three-noded “constant strain triangles”, with simple linear variation of the relevant variables. Chapters of the book deal with structural problems (beams), classification of a broad range of engineering into harmonic and biharmonic types, finite element analysis of harmonic problems, and finite element analysis of biharmonic problems (plane stress and plane strain). Full FORTRAN programs are listed and explained in detail, and a range of practical problems solved in the text. Despite being somewhat unfashionable for general programming purposes, the FORTRAN language remains very widely used in engineering. The programs listed, which were originally developed for use on mainframe computers, have been thoroughly updated for use on desktops and laptops. Unlike the first edition, the new edition has problems (with solutions) at the end of each chapter.


One-Dimensional Finite Elements

One-Dimensional Finite Elements

Author: Andreas Öchsner

Publisher: Springer

Published: 2018-04-25

Total Pages: 432

ISBN-13: 331975145X

DOWNLOAD EBOOK

This textbook presents finite element methods using exclusively one-dimensional elements. It presents the complex methodology in an easily understandable but mathematically correct fashion. The approach of one-dimensional elements enables the reader to focus on the understanding of the principles of basic and advanced mechanical problems. The reader will easily understand the assumptions and limitations of mechanical modeling as well as the underlying physics without struggling with complex mathematics. Although the description is easy, it remains scientifically correct. The approach using only one-dimensional elements covers not only standard problems but allows also for advanced topics such as plasticity or the mechanics of composite materials. Many examples illustrate the concepts and problems at the end of every chapter help to familiarize with the topics. Each chapter also includes a few exercise problems, with short answers provided at the end of the book. The second edition appears with a complete revision of all figures. It also presents a complete new chapter special elements and added the thermal conduction into the analysis of rod elements. The principle of virtual work has also been introduced for the derivation of the finite-element principal equation.


Metal Forming and the Finite-Element Method

Metal Forming and the Finite-Element Method

Author: the late Shiro Kobayashi

Publisher: Oxford University Press

Published: 1989-03-09

Total Pages: 398

ISBN-13: 0195364570

DOWNLOAD EBOOK

The application of computer-aided design and manufacturing techniques is becoming essential in modern metal-forming technology. Thus process modeling for the determination of deformation mechanics has been a major concern in research . In light of these developments, the finite element method--a technique by which an object is decomposed into pieces and treated as isolated, interacting sections--has steadily assumed increased importance. This volume addresses advances in modern metal-forming technology, computer-aided design and engineering, and the finite element method.


The Finite Element Method for Solid and Structural Mechanics

The Finite Element Method for Solid and Structural Mechanics

Author: O. C. Zienkiewicz

Publisher: Elsevier

Published: 2005-08-09

Total Pages: 653

ISBN-13: 0080455581

DOWNLOAD EBOOK

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


One-Dimensional Finite Elements

One-Dimensional Finite Elements

Author: Markus Merkel

Publisher: Springer Nature

Published: 2024-01-29

Total Pages: 473

ISBN-13: 3662667584

DOWNLOAD EBOOK

The basic idea of this introduction to the finite element method is based on the concept of explaining the complex method using only one-dimensional elements. Thus, the mathematical description remains largely simple and straightforward. The emphasis in each chapter is on explaining the method and understanding it itself. The reader learns to understand the assumptions and derivations in various physical problems in structural mechanics and to critically assess the possibilities and limitations of the finite element method. The restriction to one-dimensional elements thus enables the methodical understanding of important topics (e.g. plasticity or composite materials), which a prospective computational engineer encounters in professional practice, but which are rarely treated in this form at universities. Thus, an easy entry - also into more advanced application areas - is ensured by the concept of (a) introduction to the basics (b) exact derivation with restriction to one-dimensional elements (and in many cases also to one-dimensional problems) (c) extensive examples and advanced tasks (with short solution in the appendix). For illustration purposes, each chapter is deepened with extensively calculated and commented examples as well as with further tasks including short solutions


Finite Element Analysis and Design of Metal Structures

Finite Element Analysis and Design of Metal Structures

Author: Ehab Ellobody

Publisher: Elsevier

Published: 2013-09-05

Total Pages: 218

ISBN-13: 0124165753

DOWNLOAD EBOOK

Traditionally, engineers have used laboratory testing to investigate the behavior of metal structures and systems. These numerical models must be carefully developed, calibrated and validated against the available physical test results. They are commonly complex and very expensive. From concept to assembly, Finite Element Analysis and Design of Metal Structures provides civil and structural engineers with the concepts and procedures needed to build accurate numerical models without using expensive laboratory testing methods. Professionals and researchers will find Finite Element Analysis and Design of Metal Structures a valuable guide to finite elements in terms of its applications. - Presents design examples for metal tubular connections - Simplified review for general steps of finite element analysis - Commonly used linear and nonlinear analyses in finite element modeling - Realistic examples of concepts and procedures for Finite Element Analysis and Design


The Finite Element Analysis of Shells - Fundamentals

The Finite Element Analysis of Shells - Fundamentals

Author: Dominique Chapelle

Publisher: Springer Science & Business Media

Published: 2010-11-09

Total Pages: 417

ISBN-13: 3642164080

DOWNLOAD EBOOK

This book presents a modern continuum mechanics and mathematical framework to study shell physical behaviors, and to formulate and evaluate finite element procedures. With a view towards the synergy that results from physical and mathematical understanding, the book focuses on the fundamentals of shell theories, their mathematical bases and finite element discretizations. The complexity of the physical behaviors of shells is analysed, and the difficulties to obtain uniformly optimal finite element procedures are identified and studied. Some modern finite element methods are presented for linear and nonlinear analyses. In this Second Edition the authors give new developments in the field and - to make the book more complete - more explanations throughout the text, an enlarged section on general variational formulations and new sections on 3D-shell models, dynamic analyses, and triangular elements. The analysis of shells represents one of the most challenging fields in all of mechanics, and encompasses various fundamental and generally applicable components. Specifically, the material presented in this book regarding geometric descriptions, tensors and mixed variational formulations is fundamental and widely applicable also in other areas of mechanics.