Abstract
Finite element analysis (FEA) is a widely used computer-based method of numerically solving a range of boundary problems. In the method a continua is subdivided into a number of well-defined elements that are joined at nodes, a process known as discretization. A continuous field parameter, such as displacement or temperature, is now characterized by its value at the nodes, with the values between the nodes determined from polynomial interpolation. The nodal values are determined by the solution of an array of simultaneous equations using computational matrix methods and the accuracy of the results are dependent on the discretization, the accuracy of the assumed interpolation form, and the accuracy of the computation solution methods. The current popularity of the method is based on its ability to model many classes of problem regardless of geometry, boundary conditions, and loading. Modelling the behavior of adhesive joints is complicated by a number of factors, including the complex geometry, the complex material behavior, and the environmental sensitivity. FEA is currently the only technique that can comprehensively address the challenges of modelling bonded joints under realistic operating conditions. However, a reliable and robust method of using FEA to model failure in bonded joints is still to be developed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Adams RD, Peppiatt NA (1973) J Strain Anal 8:134
Barenblatt GI (1962) Adv Appl Mech 7:55
Champion ER, Ensminger JM (1988) Finite element analysis with personal computers. Marcel Dekker, New York
Clough RW (1960) In: Second ASCE conference on electronic computation, Pittsburgh
Cook RD (1995) Finite element modeling for stress analysis. Wiley, New York
Crocombe AD (1989) Int J Adhes Adhes 9:145
Demarkles LR (1955) Tech notes. National advisory committee for aeronautics, Washington
Dorn L, Liu W (1993) Int J Adhes Adhes 13:21
Dugdale DS (1960) J Mech Phys Solids 8:100
Fish J, Belytschko T (2007) A first course in finite elements. Wiley, Chichester
Goland M, Reissner E (1944) J Appl Mech Trans Am Soc Mech Eng 66:A17
Griffith AA (1920) Philos Trans R Soc A221:163
Harris JA, Adams RD (1984) Int J Adhes Adhes 4:65
Hillerborg A, Modeer M et al (1976) Cement Concrete Res 6:773
Hutton DV (2003) Fundamentals of finite element analysis. McGraw-Hill, New York
Irwin GR (1957) J Appl Mech 24:361
Kachanov LM (1958) Izv Akad Nauk USSR Otd Tekh 8:26
Kojić M, Filipović N et al (2008) Computer modeling in bioengineering: theoretical background, examples and software. Wiley, Chichester
Lemaitre J, Desmorat R (2005) Engineering damage mechanics: ductile, creep, fatigue and brittle failures. Springer, Berlin
Liljedahl CDM, Crocombe AD et al (2007) Int J Adhes Adhes 27:505
Loh WK, Crocombe AD et al (2003) J Adhes 79:1135
MacNeal RH (1994) Finite elements: their design and performance. Marcel Dekker, New York
Mohammadi S (2008) Extended finite element method: for fracture analysis of structures. Blackwell, Oxford
Mubashar A, Ashcroft IA et al (2009) J Adhes 85:711
Rybicki EF, Kanninen MF (1977) Eng Fract Mech 9:931
Segerlind LJ (1984) Applied finite element analysis. Wiley, New York
Turner MJ (1959) Structural and materials panel paper, AGARD meeting, Aachen, Germany
Turner MJ, Clough RW et al (1956) J Aero Sci 23:805
Volkersen O (1938) Luftfahrtforschung 15:41
Voyidadjis GZ, Kattan PI (2005) Damage mechanics. Taylor & Francis, New York
Wahab MA, Ashcroft IA et al (2001a) Composites: Part A 32:59
Wahab MA, Ashcroft IA et al (2001b) J Adh Sci Tech 15:763
Wahab MA, Ashcroft IA et al (2001c) J Adhes 77:43
Wahab MA, Ashcroft IA et al (2004) J Strain Anal 39:173
Ward IM, Sweeney J (2004) An introduction to the mechanical properties of the solid polymers. Wiley, Chichester
Zienkiewicz OC, Cheung YK (1967) The finite element method in structural and continuum mechanics. McGraw-Hill, London
Zienkiewicz OC, Taylor RL (2000) The finite element method. Volume 1 the basis. Butterworth & Heinemann, Oxford
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this entry
Cite this entry
Ashcroft, I.A., Mubashar, A. (2011). Numerical Approach: Finite Element Analysis. 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_25
Download citation
DOI: https://doi.org/10.1007/978-3-642-01169-6_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01168-9
Online ISBN: 978-3-642-01169-6
eBook Packages: EngineeringReference Module Computer Science and Engineering