Solution of the spherically symmetric linear thermoviscoelastic problem in the inertia-free limit.

摘要: The coupling between mechanical and thermal properties due to expansion complicates the problem of measuring frequency-dependent thermoviscoelastic properties, in particular for highly viscous liquids. A simplification arises if there is spherical symmetry where--as detailed present paper--the may be solved analytically inertia-free limit, i.e., limit where sample much smaller than wavelength sound waves at frequencies interest. As one-dimensional [Christensen et al., Phys. Rev. E 75, 041502 (2007)], solution conveniently formulated terms so-called transfer matrix, which directly links boundary conditions that can experimentally controlled. Once matrix has been calculated, it fairly easy deduce equations describing various relevant special cases (boundary are adiabatic, isothermal, isochoric, etc.). In most situations specific heat longitudinal heat, a quantity isochoric isobaric heats.