The geometry of nonhomogeneous, non-equilibrium thermodynamics based on maximum dissipation. (English) Zbl 1079.74004
Wang, Yongqi (ed.) et al., Trends in applications of mathematics to mechanics. Proceedings of the international symposium, STAMM, Seeheim, Germany, August 22–28, 2004. Aachen: Shaker (ISBN 3-8322-3600-7/pbk). Berichte aus der Mathematik, 137-146 (2005).
The author suggests a non-equilihriuin thermodynamic theory for solids and uses a maximum dissipation principle to extend the second law of thermodynamics and to generate a set of evolution equations. Such approach requires only few empirical coefficients needed to describe the long-term behaviour and the relaxation modulus. Homogeneous thermodynamic non-equilibrium processes were considered in [H. W. Haslach jun., Rep. Math. Phys. 39, No. 2, 147–162 (1997; Zbl 0885.58017)]. Here an extension to the nonhomogeneous case is given.
For the entire collection see [Zbl 1054.74003].
For the entire collection see [Zbl 1054.74003].
Reviewer: Boris V. Loginov (Ul’yanovsk)
MSC:
| 74A15 | Thermodynamics in solid mechanics |
