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 …

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 …

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 …

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 …

The state of stress in the core of a notched bar is analysed at the moment when pronounced
plastic yielding begins. The theory is two-dimensional and an ideal plastic-rigid material is …

In the present paper the diffuse and localized necking models according to Swift [Swift, HW,
1952. Plastic instability under plane stress, Journal of the Mechanics and Physics of Solids …

Localized necking in sheet metal has been examined for strain paths between uniaxial
tension and plane strain (ie, the negative minor strain region of a forming limit diagram). The …

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 …

A shear instability criterion can provide a consistent approach to the onset of local necking in
sheet metal forming under biaxial stretching. The neck is anticipated to initiate in the …

The following general problem is considered: Elements of a solid body deform appreciably
only when the local stresses satisfy a certain relation; the material properties are otherwise …