TECHNICAL PAPERS
May 1, 1990

Principal Direction Paths in Tension‐Torsion Test at Finite Strain

Publication: Journal of Engineering Mechanics
Volume 116, Issue 5

Abstract

General equations are presented for the determination of principal direction paths of each of the Lagrangian strain ellipsoid, Eulerian strain ellipsoid, strain rate, and Cauchy stress for uniform finite deformation of thin‐walled tubes in combined tension and torsion. Specific paths are evaluated from experimental results for nonproportional loading of tubes of annealed copper (Bell and Khan 1980) and mild steel (Bell 1983a). It is found that the principal directions of Cauchy stress are not correlated with either of the strain ellipsoids, but that Cauchy stress and Eulerian strain rate are very nearly coaxial throughout the moderate finite‐deformation range of the experiments.

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References

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Al‐Gadhib, A. H. (1989). “A comparative analysis and assessment of different macroscopic plasticity theories as applied to the tension‐torsion test of thin‐walled tubes at finite strain,” thesis presented to North Carolina State University, at Raleigh, N.C., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 116Issue 5May 1990
Pages: 1002 - 1019

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Published online: May 1, 1990
Published in print: May 1990

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Authors

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Ali H. Al‐Gadhib
Asst. Prof., Dept. of Civ. Engrg., King Fahd Univ. of Petroleum and Minerals, Dharan 31261, Saudi Arabia
Kerry S. Havner, Fellow, ASCE
Prof., Dept. of Civ. Engrg., North Carolina State Univ., Box 7908, Raleigh, NC 27695

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