Nadai's method for determining the shear stresses in solid cylindrical specimens subjected to torsional loads is extended to give the shear stresses in tubular specimens. A simple approximation to this solution is also proposed. Nadai's method may also be extended to anlyse the surface stresses of tubular specimens under combined axial and torsional loads.
Get full access to this article
View all access options for this article.
References
1.
NadaiA.Theory of flow and fracture of solids1950, 2nd edition 1, Ch. 21 (McGraw-Hill Book Co., New York).
2.
MillerK. J.ChandlerD. C.‘High strain torsion fatigue of solid and tubular specimens’, Proc. Instn mech. Engrs 1969–70 184, 433–448.
3.
MillerK. J.‘Cyclic behaviour of materials’, J. Strain Analysis19705, 185–192.
4.
BenhamP. P.‘Torsional-strain-cycling fatigue of copper at low endurance’, J. Inst. Metals 1962–63 91, 404–407.
5.
OldroydP. W. J.BurnsD. J.BenhamP. P.‘Strain hardening and softening of metals produced by cycles of plastic deformation’, Proc. Instn mech. Engrs 1965–66 180 (31), 392–402.
6.
LambH.Infinitesimal calculus1927, 211–212 (Cambridge University Press).
7.
BrownM. W.High temperature multiaxial fatigue Ph.D. Thesis, University of Cambridge, 1975.
8.
DruckerD. C.Introduction to mechanics of deformable solids1967, Art. 4.2 (McGraw-Hill Book Co., New York).
9.
MurnaghanF. D.Finite deformation of an elastic solid1951, Ch. 7 (Chapman and Hall, London).
10.
SwiftH. W.‘Length changes in metals under torsional overstrain’, Engineering, London1947163, 253–257.
11.
FreudenthalA. M.RonayM.‘Second order effects in dissipative media’, Proc. R. Soc. (Series A)1966292, 14–50.
12.
TreloarL. R. G.The physics of rubber elasticity1958, 2nd edition (Oxford University Press).
13.
HillR.The mathematical theory of plasticity1950, 1st edition, 45–48 (Oxford University Press).
14.
BudianskyB.‘A reassessment of deformation theories of plasticity’, J. appl. Mech.195926 (E), 259–264.
15.
SmithJ. O.SidebottomO. M.Inelastic behaviour of load-carrying members1965 (John Wiley and Sons Inc., New York).
16.
SadowskyM. A.‘A principle of maximum plastic resistance’, J. appl. Mech.194310 (E), 65–68.
