Some implications of time reversal invariance in plasticity

✍ Scribed by M.J. Hillier

• Publisher: Elsevier Science
• Year: 1975
• Tongue: English
• Weight: 571 KB
• Volume: 300
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(75)90105-2

✦ Synopsis

It is postulated that, for dissipative processes, the worJc rate per unit volume is the-reversal invariant. This rule appears necessary and suflcient to allow a rede$nition and extension of the rules of classical plasticity.

I. Zntroduction

ZZ. Particle Kinetics

We consider the motion of a particle of mass m referred to rectangular Cartesian coordinates xi in an inertial reference frame. Let u&t) be the components of the displacement vector at time t. Then the velocity vi = zii,