Special Numerical Techniques to Joint Design
 Prof. Andreas Öchsner
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Abstract
The aim of this chapter is to introduce special numerical techniques. The first part covers special finite element techniques which reduce the size of the computational models. In the case of the substructuring technique, internal nodes of parts of a finite element mesh can be condensed out so that they do not contribute to the size of the global stiffness matrix. A post computational step allows to determine the unknowns of the condensed nodes. In the case of the submodel technique, the results of a finite element computation based on a coarse mesh are used as input, i.e., boundary conditions, for a refined submodel. The second part of this chapters introduces alternative approximation methods to solve the partial differential equations which describe the problem. The boundary element method is characterized by the fact that the problem is shifted to the boundary of the domain and as a result, the dimensionality of the problem is reduced by one. In the case of the finite difference method, the differential equation and the boundary conditions are represented by finite difference equations. Both methods are introduced based on a simple one‐dimensional problem in order to demonstrate the major idea of each method. Furthermore, advantages and disadvantages of each alternative approximation methods are given in the light of the classical finite element simulation. Whenever possible, examples of application of the techniques in the context of adhesive joints are given.
 Title
 Special Numerical Techniques to Joint Design
 Reference Work Title
 Handbook of Adhesion Technology
 Reference Work Part
 Part E
 Pages
 pp 661688
 Copyright
 2011
 DOI
 10.1007/9783642011696_26
 Print ISBN
 9783642011689
 Online ISBN
 9783642011696
 Publisher
 Springer Berlin Heidelberg
 Copyright Holder
 SpringerVerlag Berlin Heidelberg
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 Editors

 Lucas F. M. da Silva ^{(100)}
 Andreas Öchsner ^{(101)}
 Robert D. Adams ^{(102)}
 Editor Affiliations

 100. Department of Mechanical Engineering (DEMec), Faculty of Engineering of the University of Porto (FEUP)
 101. Faculty of Mechanical Engineering, Universiti Teknologi Malaysia
 102. Emeritus Professor of Applied Mechanics, University of Bristol Queen's Building University Walk
 Authors

 Prof. Andreas Öchsner ^{(1)} ^{(2)}
 Author Affiliations

 1. Faculty of Mechanical Engineering, Technical University of Malaysia, 81310 UTM, Skudai, Johor, Malaysia
 2. The University of Newcastle, Callaghan, New South Wales, 2308, Australia
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