Longitudinal electrical conductivity of metal-matrix composites at cryogenic temperature in the presence of a longitudinal magnetic field. Part 1. Solution of the linearized Boltzmann equation. Part 2. Application of the solution to metal matrix composites

Technical Report · Thu Jan 01 00:00:00 EST 1987

OSTI ID:6743581

Roig, F S; Schoutens, J E

The Boltzmann equation is solved in the relaxation time approximation with parallel E and B fields parallel to the continuous fibres reinforcing a metal matrix. It is shown that this solution is identical to that described elsewhere, except for the addition of the cyclotron frequency. The addition of the cyclotron-frequency term shows that the electrons follow helical paths as they drift down the composite. The boundary considered is either the external or the internal surface of a cylinder representing the fibre. To apply this solution to metal-matrix composite materials we assumed that the cylindrical fibres are non-conducting cylinders in a matrix of pure crystalline metal. The electron mean free path is never greater than half the fibre separation distance. In a companion paper we discuss the application of this solution to metal-matrix composites. Keywords: Metal matrix composites, Fiber reinforced composites, Linearized Boltzmann equation.

• Research Organization: Metal Matrix Composites Information Analysis Center, Santa Barbara, CA (USA)
• OSTI ID: 6743581
• Report Number(s): AD-A-195998/0/XAB; MMCIAC-000702
• Resource Relation: Other Information: Pub. in Jnl. of Materials Science, Vol. 22, 3749-3754 and 4002-4010(1987)
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
BOLTZMANN EQUATION
COMPOSITE MATERIALS
ELECTRIC CONDUCTIVITY
CRYOGENICS
CRYSTALS
CYCLOTRONS
ELECTRONS
FIBERS
MAGNETIC FIELDS
MATRIX MATERIALS
MEAN FREE PATH
METALS
ACCELERATORS
CYCLIC ACCELERATORS
DIFFERENTIAL EQUATIONS
ELECTRICAL PROPERTIES
ELEMENTARY PARTICLES
ELEMENTS
EQUATIONS
FERMIONS
LEPTONS
MATERIALS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
360603* - Materials- Properties