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Australian Journal of Mechanical Engineering Volume 9, 2012 - Issue 2
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technical paper

A simple CAD method for constructing sand-heap formations as an analogous means of determining the fully plastic torque capacity of various structural sections

N S BardellGKN Aerospace Engineering Services, Port Melbourne, VictoriaCorrespondence[email protected]
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G J EvansGKN Aerospace Engineering Services, Port Melbourne, VictoriaView further author information
Pages 113-132 | Received 23 May 2011, Accepted 25 Jul 2011, Published online: 16 Nov 2015

References

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  • Chakrabarty, J. 2006, Theory of Plasticity, 3rd edition, Butterworth-Heinemann, Chapter 3: Elastoplastic Bending and Torsion, p. 204.
  • de Saint Venant, B. 1856, “Memoire sur la torsion des prismes”, Mémoires présentés par divers savants a l’Académie des Sciences, Vol. 14.
  • Dassault Systèmes, 2008, “CATIA Version 5 Release 19, Service Pack 6”.
  • Donaldson, B. K. 1993, Analysis of Aircraft Structures – An Introduction, McGraw-Hill Inc, Appendix II.3 Uniform Torsion Proofs For Multiply-Connected Cross-Sections.
  • Hill, R. 1950, The Mathematical Theory of Plasticity, 1st edition, Clarendon Press, Oxford.
  • Hodge, P. G. 1961, On Nádai’s Analogy for Elastic – Plastic Torsion (AD268111), Department of Mechanics, Illinois Institute of Technology.
  • Jirásek, M. 2002, Inelastic Analysis of Structures, John Wiley & Sons, Ltd., England.
  • Kachanov, L. M. 2004, Fundamentals of the Theory of Plasticity, Dover Publications, Inc., Chapter 4: Torsion.
  • Nádai, A. 1923, “Der Beginn des Fliessvorgangs in einem tordierten Staben”, Zeitschrift fur angewandenten Mathematik und Mechanik, Vol. 3, pp. 442–454.
  • Nádai, A. 1950, Theory of Flow and Fracture of Solids, Vol. 1, McGraw-Hill.
  • Prager, W. & Hodge, P.G. 1951, Theory of Perfectly Plastic Solids, 1st edition, John Wiley & Sons, Inc., New York.
  • Prandtl, L. 1903, “Zur Torsion von prismatischen Stäben”, Physikalische Zeitschrift, Vol. 4. pp. 758–770.
  • Sadowsky, M. A. 1941, “An extension of the sand-heap analogy in plastic torsion applicable to cross sections having one or more holes”, Journal of Applied Mechanics, Transactions of the ASME, Vol. 8, No. 4, pp. 166–168.
  • Shaw, F. S. 1944, “The torsion of solid and hollow prisms in the elastic and plastic range by relaxation methods”, Australian Council for Aeronautics, Report ACA – 11.
  • Timoshenko, S. P. & Goodier, J. N. 1970, Theory of Elasticity, 3rd edition, McGraw-Hill Book Company.

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