THE EQUATIONS OF ELASTICITY WITH DISSIPATION AS A NONTRIVIAL EXAMPLE OF THERMODYNAMICALLY CONSISTENT HYPERBOLIC EQUATIONS
2004 ◽
Vol 01
(02)
◽
pp. 235-249
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Keyword(s):
A thermodynamically consistent Galilean-invariant formalization of the elasticity equations is proposed. The equations under consideration form a symmetric hyperbolic system but they are non-conservative. The conservation laws are valid only on a solution with special initial values. Difficulties arising while introducing the dissipative terms are briefly discussed.
2018 ◽
Vol 58
(9)
◽
pp. 1435-1450
◽
2015 ◽
Vol 28
(1-2)
◽
pp. 331-349
2000 ◽
Vol 09
(01)
◽
pp. 13-34
◽
2021 ◽
Vol 18
(01)
◽
pp. 195-219