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Record Details

Record 64 of 21012
Bifurcation analysis of the onset of necking in an elastic/plastic cylinder under uniaxial tension
External Online Source: doi:10.1016/0022-5096(74)90014-3
Author and Affiliation:
Hutchinson, J. W.(Harvard University, Cambridge, Mass., United States)
Miles, J. P.(University of Manchester Institute of Science and Technology, Manchester, United Kingdom)
Abstract: The bifurcation problem governing the onset of axisymmetric necking in a circular cylindrical specimen in uniaxial tension is analysed. The specimen is made of an incompressible elastic/plastic material. One end is subject to a prescribed uniform axial displacement relative to the other and both ends are shear free. The true stress at bifurcation is greater than the stress at which the maximum load is attained by an amount which depends on (a) the radius to length ratio of the specimen, (b) the ratio of the elastic shear modulus to the tangent modulus, and (c) the derivative of the tangent modulus with respect to the stress. Bifurcation takes place immediately following attainment of the maximum load when the specimen is sufficiently slender.
Publication Date: Jan 01, 1974
Document ID:
19740039049
(Acquired Dec 04, 1995)
Accession Number: 74A21799
Subject Category: STRUCTURAL MECHANICS
Document Type: Journal Article
Publication Information: Journal of the Mechanics and Physics of Solids; 22; Jan. 197
Publisher Information: United Kingdom
Contract/Grant/Task Num: NSF GP-34723; NGL-22-007-012
Financial Sponsor: NASA; United States
Description: 11p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: Copyright
NASA Terms: AXIAL STRESS; BRANCHING (PHYSICS); ELASTIC CYLINDERS; ELASTOPLASTICITY; PLASTIC DEFORMATION; TENSILE STRESS; CIRCULAR CYLINDERS; CONSTITUTIVE EQUATIONS; DISPLACEMENT; EIGENVALUES; INCOMPRESSIBILITY; MODULUS OF ELASTICITY; SHEAR STRESS; SPECIMEN GEOMETRY; STRESS ANALYSIS; YIELD POINT
Imprint And Other Notes: Journal of the Mechanics and Physics of Solids, vol. 22, Jan. 1974, p. 61-71. Research supported by Harvard University
Miscellaneous Notes: p. 61-71. Research supported by Harvard Universit
Availability Source: Other Sources
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