NDLI: The theory of general and ideal plastic deformations of Treasca solids

Content Provider	Springer Nature Link
Author	Richmond, O. Alexandrov, S.
Copyright Year	2002
Abstract	Ideal plastic deformations have been defined elsewhere as solenoidal smooth deformations in which an eigenvector field associated everywhere with the greatest (major) principal rate of deformation is fixed in the material. For the rigid/perfectly plastic Tresca solid, which satisfies the Tresca yield condition and its associated normality flow rule, it is always possible to find an equilibrium stress field which is compatible with an ideal deformation. Under such conditions all material elements undergo paths of minimum plastic work, a condition which is believed to be advantageous for metalforming processes. Thus, ideal deformation theory has been used as the basis of a procedure for the direct preliminary design of such processes.The present work is focused on three-dimensional deformations where none of the components of principal strain rate vanishes and where the Tresca model is particularly useful. First the general nonsteady three-dimensional equations are derived in a special Lagrangian coordinate system. Then new results involving this coordinate system are obtained for nonsteady axisymmetric ideal deformations. Finally, similar ideas are applied to steady three-dimensional and axisymmetric deformations. In these cases, however, the special coordinate system is not Lagrangian, but is associtted with streamlines.
Starting Page	33
Ending Page	42
Page Count	10
File Format	PDF
ISSN	00015970
Journal	Acta Mechanica
Volume Number	158
Issue Number	1-2
e-ISSN	16196937
Language	English
Publisher	Springer-Verlag
Publisher Date	2002-01-01
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Numerical and Computational Methods in Engineering Continuum Mechanics and Mechanics of Materials Structural Mechanics Vibration, Dynamical Systems, Control Engineering Fluid Dynamics Engineering Thermodynamics, Transport Phenomena
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

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