Rational Thermodynamics

E490984

Rational Thermodynamics is a rigorous, axiomatic reformulation of continuum thermodynamics developed by Clifford Truesdell and collaborators, emphasizing logical consistency and mathematical clarity in the foundations of thermal and mechanical processes.

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Rational Thermodynamics canonical 1

Statements (59)

Predicate Object
instanceOf axiomatic physical theory
framework in continuum mechanics
theory of continuum thermodynamics
aimsAt clarifying the role of entropy in continua
deriving thermodynamic restrictions on constitutive equations
providing a unified framework for thermal and mechanical processes
appliesTo elastic solids
heat-conducting media
mixtures of continua
nonlinear materials
viscoelastic materials
viscous fluids
basedOn balance laws of mechanics and thermodynamics
continuum hypothesis
principle of material frame-indifference
contrastsWith classical thermodynamics of discrete systems
phenomenological thermodynamics without explicit continuum basis
criticizes inconsistent formulations of the second law
informal use of thermodynamic concepts in engineering literature
developedBy Bernard Coleman NERFINISHED
Clifford Truesdell NERFINISHED
Walter Noll NERFINISHED
other collaborators of Clifford Truesdell
developedInPeriod mid 20th century
emphasizes axiomatic foundations
balance laws as fundamental postulates
clear separation of kinematics and constitutive assumptions
continuum description of matter
frame-indifference
logical consistency
mathematical rigor
objectivity of constitutive equations
field continuum mechanics
mathematical physics
nonequilibrium thermodynamics
thermodynamics
hasKeyConcept constitutive mapping
entropy production
heat flux vector
internal energy density
stress tensor
hasKeyText Rational Thermodynamics by Clifford Truesdell NERFINISHED
influenced extended thermodynamics
mathematical treatment of nonequilibrium processes
modern continuum thermodynamics
theory of constitutive relations
language mathematical analysis
tensor notation
relatedTo rational continuum mechanics
rational mechanics
uses constitutive equations
continuum balance of angular momentum
continuum balance of energy
continuum balance of linear momentum
continuum balance of mass
continuum field variables
differential equations
entropy inequality
tensor calculus

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Clifford Truesdell notableWork Rational Thermodynamics