On uniqueness in the theory of plasticity

DC Drucker - Quarterly of Applied Mathematics, 1956 - ams.org
The fundamental definitions of work-hardening and perfect plasticity have far reaching
implications with respect to uniqueness of solution for elastic-plastic bodies. Satisfaction of …

Some implications of work hardening and ideal plasticity

DC Drucker - Quarterly of Applied Mathematics, 1950 - ams.org
The purpose of this note is to point out the severe restriction imposed on possible stress-
strain relations by a mathematical formulation of the concepts of work hardening and ideal …

Further constitutive results in finite plasticity

J Casey, PM Naghdi - The Quarterly Journal of Mechanics and …, 1984 - academic.oup.com
Within the framework of a purely mechanical theory for finitely deforming elastic-plastic
materials, it has been shown previously (1, 2) that strain-hardening behaviour may be …

[引用][C] Theory of plasticity

J Chakrabarty, WJ Drugan - 1988 - asmedigitalcollection.asme.org
Since the pioneering work of Tresca in 1864, many talented engineers and applied
mathematicians have contribuited to the theory of metal plasticity, developing an elegant …

The associated flow rule of plasticity

DR Bland - Journal of the Mechanics and Physics of Solids, 1957 - Elsevier
The workhardening and linearity hypotheses introduced by Drucker are logically equivalent
to the hypotheses of the existence of the plastic potential and of its identity with tlie yield …

On the use of singular yield conditions and associated flow rules

W Prager - 1953 - asmedigitalcollection.asme.org
It is well known that the use of Tresca's yield condition frequently leads to a simpler system
of equations for the stresses in a plastic solid than the use of the yield condition of Mises …

A definition of stable inelastic material

DC Drucker - 1959 - asmedigitalcollection.asme.org
The definitions given previously for work-hardening and perfect plasticity are broadened to
cover viscous effects. As before, the system considered is isothermal and includes both the …

[图书][B] Combined loadings in the theory of plasticity

M Zyczkowski - 1981 - books.google.com
The analysis of combined loadings in the plastic range, very important both from the
theoretical and from the engineering viewpoint, is one of the more difficult branches of the …

Some remarks on path independence in the small in plasticity

JW Dougill - Quarterly of Applied Mathematics, 1975 - ams.org
Introduction. Drucker's[1] definition of work-hardening has had a significant influence on the
development of stress-strain relations in the mathematical theory of plasticity. Also …

LXXXVIII. On the state of stress in a plastic-rigid body at the yield point

R Hill - The London, Edinburgh, and Dublin Philosophical …, 1951 - Taylor & Francis
The yield point of a plastic-rigid body is defined as the moment when deformation first
becomes possible as the load is increased. The practical significance of the yield-point load …