Accession Number:

ADA012987

Title:

Variational-Lagrangian Thermodynamics of Non-Linear Thermorheology.

Descriptive Note:

Scientific interim rept.,

Corporate Author:

BIOT (MAURICE A) BRUSSELS (BELGIUM)

Personal Author(s):

Report Date:

1974-12-01

Pagination or Media Count:

61.0

Abstract:

A principle of virtual dissipation generalizing dAlemberts principle to non-linear irreversible thermodynamics provides a unifying foundation which leads to an extremely general variational - Lagrangian analysis of dissipative phenomena. Thus a synthesis is achieved between thermodynamics and classical mechanics. The present paper applies this principle to the non-linear thermomechanics of continua with dissipation and heat conduction. Field equations, constitutive equations and Lagrangian equations with generalized coordinates are derived for non-linear thermoviscoelasticity, non-linear thermoelasticity and heat conduction, plasticity, and compressible heat conducting fluids with Newtonian and non-Newtonian viscosity. The thermodynamics of instability is also analyzed from the same fundamental viewpoint.

Subject Categories:

  • Mechanics
  • Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE