New Insights into Classical Particle Mechanics

نویسندگان

  • Eliot Fried
  • R. B. Lehoucq
  • R. B. LEHOUCQ
چکیده

Classical particle mechanics is developed from the precept that, kinematics and the notion of force aside, power is the most basic ingredient in any mechanical theory. The essential properties of forces between particles are derived by requiring that the net power expended within any subsystem of particles be frame-indifferent. Moreover, requiring that the net power expended on any subsystem of particles by external agencies be frame-indifferent yields force, moment, and power balances. These balances account for inertia but hold in any frame, inertial or noninertial. Assuming that each particle possesses an interaction energy that embodies the extent to which it is attracted or repelled by other particles leads to the proposition of an interaction-energy inequality that serves as a purely mechanical statement of the second law of thermodynamics. In combination with the power balance, this inequality provides an avenue to ensure that constitutive equations do not violate thermodynamics. This inequality is used to develop the simplest class of constitutive equations that accounts for both energetic and dissipative particle-particle interactions.

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تاریخ انتشار 2009