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Special Numerical Techniques to Joint Design

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Handbook of Adhesion Technology

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.

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Author information

Authors and Affiliations

  1. Faculty of Mechanical Engineering, Technical University of Malaysia, 81310 UTM, Skudai, Johor, Malaysia

    Prof. Andreas Öchsner

  2. The University of Newcastle, Callaghan, New South Wales, 2308, Australia

    Prof. Andreas Öchsner

Authors
  1. Prof. Andreas Öchsner
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Corresponding author

Correspondence to Andreas Öchsner .

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering (DEMec), Faculty of Engineering of the University of Porto (FEUP), Rua Dr. Roberto Frias, 4200-465, Porto, Portugal

    Lucas F. M. da Silva

  2. Faculty of Mechanical Engineering, Universiti Teknologi Malaysia, 81310, Skudai, Johor, Malaysia

    Andreas Öchsner

  3. Emeritus Professor of Applied Mechanics, University of Bristol Queen's Building University Walk, Clifton, Bristol, BS8 1TR, UK

    Robert D. Adams

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Öchsner, A. (2011). Special Numerical Techniques to Joint Design. In: da Silva, L.F.M., Öchsner, A., Adams, R.D. (eds) Handbook of Adhesion Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01169-6_26

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