scholarly journals Axiomatic Foundations of Classical Particle Mechanics

1953 ◽  
Vol 2 (2) ◽  
pp. 253-272 ◽  
Author(s):  
J. McKinsey ◽  
A. Sugar ◽  
Patrick Suppes
Keyword(s):  
Classical Particle ◽  
Particle Mechanics

Hamiltonians in Relativistic Classical Particle Mechanics

1968 ◽  
Vol 166 (5) ◽  
pp. 1308-1316 ◽  
Author(s):  
Thomas F. Jordan
Keyword(s):  
Classical Particle ◽  
Particle Mechanics

Constructing Examples in Relativistic Classical Particle Mechanics

1972 ◽  
Vol 13 (6) ◽  
pp. 868-871 ◽  
Author(s):  
C. S. Shukre ◽  
T. F. Jordan
Keyword(s):  
Classical Particle ◽  
Particle Mechanics

scholarly journals On internal constraints in continuum mechanics

2006 ◽  
Vol 2006 ◽  
pp. 1-12 ◽  
Author(s):  
K. R. Rajagopal ◽  
Giuseppe Saccomandi
Keyword(s):  
Continuum Mechanics ◽  
Classical Mechanics ◽  
Dissipative Systems ◽  
Classical Particle ◽  
Response Functions ◽  
Internal Constraints ◽  
Material Response ◽  
Particle Mechanics

In classical particle mechanics, it is well understood that while working with nonholonomic and nonideal constraints, one cannot expect that the constraint be workless. It is curious that in continuum mechanics, however, the implications of the result in classical mechanics have not been clearly understood. In this paper, we show that in dealing with the response of dissipative systems, one cannot require that constraints do no work or ignore the fact that the material response functions depend on the constraint reaction. An example of this is the viscosity of a fluid depending on the pressure.

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