This paper presents a point-matching method for solving axisymmetric body-load problems. It can be used for both linear and nonlinear elasticity problems. The change of boundary shape and boundary conditions requires only a few program modifications. The validity of each solution is evaluated by error analysis. The present method is compared with a finite-element technique.
Get full access to this article
View all access options for this article.
References
1.
De WildeR.ClementJ.HellemansJ.‘A model study of lung elasticity’, Proceedings of the 1st International Conference on Mechanics in Medicine and Biology1978 Aachen, V163–V166.
2.
MatthewsJ. L.WestJ. B.‘Stresses, strains and surface pressures in the lung caused by its weight’, J. Biomech.19725, 591–600.
3.
EasonE. D.‘A review of least squares methods for solving partial differential equations’, Int. J. num. Meth. Engng.197610, 1021–1046.
4.
HookeC. J.‘Numerical solution of axisymmetric stress problems by point-matching’, J. Strain Analysis19705 (No. 1), 25–37.
5.
MatthewsG. J.HookeC. J.‘Solution of axisymmetric torsion problems by point-matching’, J. Strain Analysis19716 (No. 2), 124–133.
6.
EasonE. D.MoteC. D.‘Solution of non-linear boundary value problems by discrete least squares’, Int. J. num. Meth. Engng.197711, 641–652.
IversonK. E.A programming language1962 (Wiley, New York).
9.
JenkinsM. A.The solution of linear systems of equations and linear least squares problems in APL.IBM New York Scientific Center Technical Report No. 320–2989, June 1970.
10.
CookR. D.Concepts and applications of finite element analysis1974 Ch. 15 (Wiley. New York).
