2D ELASTICITY ANALYSIS WITH BOUNDARY ELEMENT METHOD

Supriyono Supriyono(1*)

(1) Universitas Muhammadiyah Surakarta
(*) Corresponding Author

Abstract

In this paper, a boundary element method for 2D elasticity analysis is presented. The formulations are also presented. Numerical integration is applied to solve the boundary integral equation obtained from the formulation. Quadratic isoparametric elements are used to represent the variation of a variable along an element. Several

Full Text:

PDF

References

Aliabadi, M.H., The Boundary Element Method, vol II: application to solids and structures, Chichester, Wiley (2001).

Banerjee, P.K., The Boundary Element Method in Engineering, McGraw-Hill, New York (1992).

Becker, A., The Boundary Element Method in Engineering, McGraw-Hill, London (1992). Betti, E., Teoria dell’elasticita’, Il Nuovo Cimento, 7-10, (1872).

Brebbia, C.A., Dominguez, J., Boundary Elements, an Introductory Course, 2nd edition, Computational Mechanics Publication, Southampton, McGraw-Hill Book Company, New York, (1992).

Cruse, T.A., Numerical solutions in three-dimensional elastostatics, International Journal of Solids and Structures, 5, 1259-1275, (1969).

Fredholm, I., Sur une classe d’equatios fonctionelles, Acta Mathematica, 27, 365-390, (1903).

Hess, J.L., and Smith, A.M.O., calculation of potential flows about arbiratry bodies, Progress in Aeronautical Sciences, 8, Perganon Press, (1967).

Jaswon, M.A., Integral equation method in potential theory, I, Proceeding of the Royal Society of London, Series A, 275, 23-32, (1963).

Lachat, J.C., Watson, J.O., Effective numerical treatment of boundary integral equations, International Journal for Numerical Methods in Engineering, 10, pp.991-1005, (1976).

Massonnet, C.E., Numerical use of integral procedure, In Stress Analisys, Chapter 10, 198-235, Wiley, London, (1965).

Mikhilin, S.G., Integral Equation, Pergamon Press, London, (1957).

Rizzo, F.J., An integral equation approach to boundary-value problems of classical elastostatics, Quarterly Journal of Applied Mathematics, 25, 83-95, (1967).

Somigliana, C., Sopra l’equilibrio di un corpo elastico isotropo, Il Nuovo Cimento, serie III, vol.20, 81-185,(1886).

Wrobel, L.C., The Boundary Element Method, vol I: applications in thermo-fluids and acoustics, Chichester, Wiley (2001).

DOI: 10.23917/mesin.v9i1.3159

Article Metrics

Abstract view(s): 384 time(s)
PDF: 269 time(s)

Refbacks

  • There are currently no refbacks.