Necking of biaxially stretched elastic-plastic circular plates

A Needleman, V Tvergaard - Journal of the Mechanics and Physics of …, 1977 - Elsevier
T he necking of an elastic-plastic circular plate under uniform radial tensile loading is
investigated both within the framework of the three-dimensional theory and within the …

An analytical model for necking strains in stretched plates under dynamic biaxial loading

N Jacques - International Journal of Solids and Structures, 2020 - Elsevier
A model for the prediction of localised necking in plates subjected to dynamic biaxial loading
is presented. The proposed model extends the classic two-zone localisation analysis …

Effect of kinematic hardening on localized necking in biaxially stretched sheets

V Tvergaard - International Journal of Mechanical Sciences, 1978 - Elsevier
For elastic-plastic sheets under biaxial stretching localized necking is investigated assuming
that the material follows a kinematic hardening rule. The investigation is mainly based on the …

Localized necking in thin sheets

S Stören, JR Rice - Journal of the Mechanics and Physics of Solids, 1975 - Elsevier
B y using a simplified constitutive model of a pointed vertex on subsequent yield loci,
namely, such that the equations of deformation-theory of rigid-plastic solids apply for fully …

An analysis of localized necking in punch stretching

CC Chu - International Journal of Solids and Structures, 1980 - Elsevier
Localized necking of sheet metals subject to out-of-plane punch stretching is studied.
Attention is directed to the effects of various constitutive laws on the development of …

Analysis of necking based on a one-dimensional model

B Audoly, JW Hutchinson - Journal of the Mechanics and Physics of Solids, 2016 - Elsevier
Dimensional reduction is applied to derive a one-dimensional energy functional governing
tensile necking localization in a family of initially uniform prismatic solids, including as …

Localized necking and bulging of finitely deformed residually stressed solid cylinder

Y Liu, L Dorfmann - Mathematics and Mechanics of Solids, 2024 - journals.sagepub.com
In this paper, we investigate the influence of residual stress on the stability of a solid circular
cylinder subject to axial extension. The nonlinear theory of elasticity is used to derive the …

On discontinuous plastic states, with special reference to localized necking in thin sheets

RT Hill - Journal of the Mechanics and Physics of Solids, 1952 - Elsevier
Permissible discontinuities of stress, velocity, and surface slope are investigated in a plastic-
rigid sheet deformed in its plane. One such discontinuity of velocity is shown to be the …

Bifurcation analysis of the onset of necking in an elastic/plastic cylinder under uniaxial tension

JW Hutchinson, JP Miles - Journal of the Mechanics and Physics of Solids, 1974 - Elsevier
T he B ifurcation problem governing the onset of axisymmetric necking in a circular
cylindrical specimen in uniaxial tension is analysed. The specimen is made of an …

Sheet necking-II. Time-independent behavior

JW Hutchinson, KW Neale - Mechanics of Sheet Metal Forming: Material …, 1978 - Springer
Various factors affecting the prediction of limit strains in biaxiallystretched sheets are
studied, Time-independent material behavior is assumed, and both the flow theory of …