Finite Element Analysis Of Structures Through Unified Formulation

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E-Book Overview

The finite element method (FEM) is a computational tool widely used to design and analyse  complex structures. Currently, there are a number of different approaches to analysis using the FEM that vary according to the type of structure being analysed: beams and plates may use 1D or 2D approaches, shells and solids 2D or 3D approaches, and methods that work for one structure are typically not optimized to work for another.

Finite Element Analysis of Structures Through Unified Formulation deals with the FEM used for the analysis of the mechanics of structures in the case of linear elasticity. The novelty of this book is that the finite elements (FEs) are formulated on the basis of a class of theories of structures known as the Carrera Unified Formulation (CUF). It formulates 1D, 2D and 3D FEs on the basis of the same 'fundamental nucleus' that comes from geometrical relations and Hooke's law, and presents both 1D and 2D refined FEs that only have displacement variables as in 3D elements. It also covers 1D and 2D FEs that make use of 'real' physical surfaces rather than ’artificial’ mathematical surfaces which are difficult to interface in CAD/CAE software.

Key features:

  • Covers how the refined formulation can be easily and conveniently used to analyse laminated structures, such as sandwich and composite structures, and to deal with multifield problems
  • Shows the performance of different FE models through the 'best theory diagram' which allows different models to be compared in terms of accuracy and computational cost
  • Introduces an axiomatic/asymptotic approach that reduces the computational cost of the structural analysis without affecting the accuracy
  • Introduces an innovative 'component-wise' approach to deal with complex structures
  • Accompanied by a website hosting the dedicated software package MUL2 (www.mul2.com)

Finite Element Analysis of Structures Through Unified Formulation is a valuable reference for researchers and practitioners, and is also a useful source of information for graduate students in civil, mechanical and aerospace engineering.


E-Book Content

Finite Element Analysis of Structures through Unified Formulation Erasmo Carrera, Maria Cinefra, Marco Petrolo and Enrico Zappino FINITE ELEMENT ANALYSIS OF STRUCTURES THROUGH UNIFIED FORMULATION FINITE ELEMENT ANALYSIS OF STRUCTURES THROUGH UNIFIED FORMULATION Erasmo Carrera Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Italy School of Aerospace, Mechanical and Manufacturing Engineering, RMIT University, Australia Maria Cinefra Enrico Zappino Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Italy Marco Petrolo School of Aerospace, Mechanical and Manufacturing Engineering, RMIT University, Australia This edition first published 2014 © 2014 John Wiley & Sons Ltd Registered office John Wiley & Sons Ltd, The Atrium, Southern Gate, Chichester, West Sussex, PO198SQ, United Kingdom For details of our global editorial offices, for customer services and for information about how to apply for permission to reuse the copyright material in this book please see our website at www.wiley.com. The right of the author to be identified as the author of this work has been asserted in accordance with the Copyright, Designs and Patents Act 1988. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by the UK Copyright, Designs and Patents Act 1988, without the prior permission of the publisher. Wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in electronic books.