Compatibility of weak rigidity with some types of elastic schemes

Journal Article · Tue Apr 01 00:00:00 EST 1986 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527146· OSTI ID:6089707

del Olmo, V; Olivert, J

The behavior of the hypoelastic-Synge, hypoelastic-Maugin, and hypoelastic-Carter and Quintana almost-thermodynamic material schemes, under weak rigidity hypotheses, is studied. In every case, the absence of principal transverse shock waves (or the vanishing of the corresponding speeds) is obtained. The same result follows for the longitudinal shock waves when the Lame coefficient ..mu.. does not vanish. A definition of an elastic almost-thermodynamic material scheme based on the Fermi--Walker transport is proposed and compared with the above elastic schemes. The speeds of the principal shock waves associated are attained and its compatibility with the Ferrando--Olivert incompressibility condition is proved. In the presence of weak rigidity the elastic schemes here defined lead (assuming ..mu..not =0) to the Born-rigidity condition.

• Research Organization: Departament de Mecanica i Astronomia, Facultat de Matematiques, Burjassot, Valencia, Spain
• OSTI ID: 6089707
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 27:4
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ELASTICITY
GENERAL RELATIVITY THEORY
ENERGY-MOMENTUM TENSOR
HOOKE LAW
MATHEMATICAL MANIFOLDS
SHOCK WAVES
THERMODYNAMICS
WAVE PROPAGATION
FIELD THEORIES
MECHANICAL PROPERTIES
TENSILE PROPERTIES
TENSORS
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation