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Keywords
(1)
Tensile Test
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Theory of the tensile test
Theory of the tensile test,10.1016/00016160(67)902118,Acta Metallurgica,E HART
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Theory of the tensile test
(
Citations: 138
)
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E HART
Journal:
Acta Metallurgica
, vol. 15, no. 2, pp. 351355, 1967
DOI:
10.1016/00016160(67)902118
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Citation Context
(13)
...The lifetime model developed by
Hart (1967 )
i s based on necking, which was first studied by Considère (1885) and more recently by Dumoulin et al. (2003)...
...At any given time, a small portion of the gauge length is assumed to have a crosssection differing by a small amount, δS, from the rest of the gauge part, which is supposed to have a homogeneous crosssection, S. According to the definition of
Hart (1967)
, deformation is unstable if this difference in crosssection increases with time...
...After time integration, if we consider that deformation develops in a ductile way and slowly, the crosssection difference between the homogeneous parts and necking part is thus small (δS � S). Using the Taylor first order approximation, we deduce the relationship given by
Hart (1967)
: δS = δSnecking Snecking/S N −1 (18)...
Rattanak Lim
,
et al.
Modelling and experimental study of the tertiary creep stage of Grade ...
...Using the Lagrangian approach to motion description, Hart considered unstable regimes of homogeneous deformation and derived a criterion, which implies that the capability of materials to long tensions is retained even if there are inhomogeneities in the sample geometry [
4
]...
...As a stress–strain state arises in the course of deformation of the inhomogeneity, the assumption 2 is not completely correct: Hart noted that this assumption induced an error of the same order of smallness as δS [
4
]...
...It should be noted that this statement is not completely correct either: Hart [
4
] did not say anything about the perturbation geometry, which is an important characteristic of the sample and which determines the inhomogeneity of the stress distribution...
...In contrast to [
4
], Il’yushin [5] described the problem formulation in more detail and presented a universal method for solving this problem...
...Hart’s paper [
4
] gave an impetus to the development of this research direction, but it had some drawbacks (onedimensional analysis of neck development was performed, and rather rigorous restrictions were imposed on the process considered)...
...i.e., stability is observed for λ< 0, which is equivalent to the inequalities m< 0a nd m> 1. Thus, in the limiting case with a → 0, the result obtained agrees with Hart’s analysis [
4
]...
...Hart’s paper [
4
] gave an impetus to this research direction, but its drawback was a onedimensional analysis of development of the “neck.” A universal method of solving stability problems was proposed in the papers of Il’yushin [5] and Ishlinskii [6], though they seem to have nothing to do with SP at first glance...
P. V. Trusov
,
et al.
Comparative analysis of some formulations of the stability problem
...In mechanical engineering, elasticity parameters are commonly measured using the socalled tensile test where uniaxial loading is applied to a te st object (see e. g. [
Har67
])...
Markus Becker
,
et al.
Robust and Efficient Estimation of Elasticity Parameters using the lin...
...Hart [
2
] proposed an instability criterion based on the growth of an...
R. C. Batra
,
et al.
Instability strain and shear band spacing in simple tensile/compressiv...
...Incorporating the modified constitutive equation (1) along with the evolution equations (2) and (3) into the framework of Hart’s stability analysis [
13
], a stability criterion accounting for geometrical instabilities, microstructure aspects, and stress state was developed by Thuramalla and Khraisheh [8]; which has the following form at the onset of instability:...
M. A. Nazzal
,
et al.
The effect of strain rate sensitivity evolution on deformation stabili...
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Citations
(138)
Characterization of deformation instability in modified 9Cr–1Mo steel during thermomechanical processing
(
Citations: 1
)
Dipti Samantaray
,
Sumantra Mandal
,
A. K. Bhaduri
Journal:
Materials & Design  MATER DESIGN
, vol. 32, no. 2, pp. 716722, 2011
Modelling and experimental study of the tertiary creep stage of Grade 91 steel
Rattanak Lim
,
Maxime Sauzay
,
France Dalle
,
Ivan Tournie
,
Patrick Bonnaillie
,
AnneFrançoise GourguesLorenzon
Journal:
International Journal of Fracture  INT J FRACTURE
, vol. 169, no. 2, pp. 213228, 2011
Local Thinning at a Die Entry Radius During Hot GasPressure Forming of an AA5083 Sheet
(
Citations: 1
)
Eric M. Taleff
,
Louis G. Hector
,
John R. Bradley
,
Ravi Verma
,
Paul E. Krajewski
Journal:
Journal of Manufacturing Science and Engineeringtransactions of The Asme  J MANUF SCI ENG
, vol. 132, no. 1, 2010
Analysis of the essential work of fracture method as applied to UHMWPE
(
Citations: 2
)
S. Naz
,
J. Sweeney
,
P. D. Coates
Journal:
Journal of Materials Science  J MATER SCI
, vol. 45, no. 2, pp. 448459, 2010
Tensile Deformation Behaviors of CuNi Alloy Processed by Equal Channel Angular Pressing
Jiangwei Wang
,
Peng Zhang
,
Qiqiang Duan
,
Gang Yang
,
Shiding Wu
,
Zhefeng Zhang
Journal:
Advanced Engineering Materials  ADV ENG MATER
, vol. 12, no. 4, pp. 304311, 2010