An approximate simple theoretical solution is developed for infinitesimal plane and axisymmetric strain deformations for blocks of elastic material with Poisson's ratio between 0 and 0.5 bonded to rigid end plates. The explicit form of solution, developed for shape factor, S, between 0 and ∞, is easy to use and compares well with published experimental results. It is also comparable with previous theoretical investigations and expected behaviour.
Get full access to this article
View all access options for this article.
References
1.
MogheS. R.NeffH. F.‘Elastic deformation of constrained cylinders’, J. Appl. Mech. (Trans ASME)1971, 38, 393–399.
2.
HolowniaB. P.‘Effect of poisson's ratio on bonded rubber blocks’, J. Strain Analysis, 1972, 7, 236–242.
3.
LindleyP. B.TeoS. C.‘Some numerical stiffness of soft elastic blocks bonded to rigid end plates’, Plastic Rubber: Mater. Applic.1978, 3, 113–116.
4.
FilonL. N.G.‘On the elastic equilibrium of circulars cylinders under practical systems of load’, Phil. Trans Roy. Soc. A, 1902, 198, 147–233.
5.
BenthemJ. P.MinderhoudP.‘The problem of solid cylinder compressed between rough rigid stamps’, Int. J. Solids Structures, 1972, 8, 1027–1042.
6.
SoleckiJ. S.SwedlowJ. L.‘Elastic stress analysis of constraint cylinders by a special finite element method’, Int. J. Solids Structures, 1980, 16, 959–968.
7.
LindleyP. B.‘A finite-element programme for the plain-strain analysis of rubber’, J. Strain Analysis, 1975, 10, 25–31.
8.
FennerR. T.RemziE. M.‘Boundary integral equation evaluation of compression moduli of bonded rubber blocks’, J. Strain Analysis, 1983, 18, 217–223.
9.
GuptaG. D.‘The problem of a finite strip compressed between two rough rigid stamps’, J. Appl. Mech. (Trans ASME), 1975, 42, 81–87.
10.
GentA. E.LindleyP. B.‘Compression of bonded rubber blocks’, Proc. R. Soc. A, 1958, 178, 111–117.
11.
LindleyP. B.‘Compression moduli for blocks of soft elastic material bonded to rigid end-plates’, J. Strain Analysis, 1979, 14, 11–16.
12.
GentA. N.MeineckeE. A.‘Compression bending and shear of bonded rubber blocks’, Polymer Engng Sci., 1970, 10, 48–53.
13.
GreenA. E.ZernaW.Theoretical Elasticity (2nd Edition), 1968 (Oxford University Press).
