THEORY OF STRUCTURED CONTINUA. I. GENERAL CONSIDERATION OF ANGULAR MOMENTUM AND POLARIZATION

Journal Article · Mon Oct 28 23:00:00 EST 1963 · Proc. Roy. Soc. (London), Ser. A

DOI:https://doi.org/10.1098/rspa.1963.0183· OSTI ID:4138600

Dahler, J S; Scriven, L E

Classical continuum theory is generalized to provide a systematic procedure for treating in successively greater detail the macroscopic manifestations of subcontinuum events without sacrificing the convenience of the field approach. The point of departure from traditional theory is the general angular momentum principle for continua. Internal angular momentum is associated with configurational and kinematic structure of the continuum particle and that structure is represented by moment expansions in polyadic polarization densities. Each step in the theoretical development is analyzed both in terms of the statistical mechanics of polyatomic media and from the standpoint of continuum physics. Accurate accounting of content and flux is found to require introducing the concepts of proper densities and currents. Among topics examined in detail are asymmetric states of stress, equations of change for dynamical variables, and equilibrium conditions in structured continua, including alinement of internal aninilar momentum with the principal axes of local mass distributions. (auth)

• Research Organization: Univ. of Minnesota, Minneapolis
• Sponsoring Organization: USDOE
• NSA Number: NSA-18-002455
• OSTI ID: 4138600
• Journal Information: Proc. Roy. Soc. (London), Ser. A, Journal Name: Proc. Roy. Soc. (London), Ser. A Vol. Vol: 275
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR DISTRIBUTION
ANGULAR MOMENTUM
ATOMS
CARBON 14
CURRENTS
DENSITY
DEUTERON BEAMS
DEUTERONS
DIFFERENTIAL EQUATIONS
DISTRIBUTION
ELECTRONS
ENERGY
ENERGY LEVELS
ENERGY RANGE
GAMMA SPECTROMETERS
INTERACTIONS
INTERNAL CONVERSION
MASS
MATHEMATICS
MEASURED VALUES
MECHANICS
MOMENTUM
NITROGEN 14
NUCLEAR MODELS
NUCLEAR REACTIONS
PAIR PRODUCTION
PAIR SPECTROMETERS
PARTICLES
PHYSICS
POLARIZATION
POSITRONS
SPECTROMETERS
SPIN
STABILITY
STATISTICS
STRESSES
TRANSIENTS