Some examples of nonuniqueness of solutions to the equation of linear elastodynamics
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OpenAlex topics: Elasticity and Wave Propagation · Algebraic and Geometric Analysis · Elasticity and Material Modeling
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References (10)
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2. B. Carbonaro & R. Russo: Energy inequalities and the domain of influence theorem in classical elastodynamics, J. Elasticity 14 (1984) 163?174.10.1007/BF00041663 ↗
3. B. Carbonaro & R. Russo: On the work and energy theorem for unbounded elastic bodies. J. Elasticity 15 (1985) 125?131.10.1007/BF00041987 ↗
4. B. Carbonaro & R. Russo: The uniqueness problem in the dynamical theory of linear hyperelasticity in unbounded regions, in ?Atti del 7o Congresso Nazionale AIMETA (Trieste, 2?5 ottobre 1984)?, Vol. 2, Trieste, 1984, pp. 47?56.
5. B. Carbonaro & R. Russo: On the dynamical behaviour of an elastic body around a point where the acoustic tensor tends either to zero or to infinity (to appear).
6. M. Fabrizio & A. Hanyga: Mixed problems for linear hyperbolic equation with unbounded coefficients (to appear).
7. M.E. Gurtin: The linear theory of Elasticity, Handbuch der Physik, Vol. VIa/2, Springer, Berlin, 1972.
8. T.R. Hughes & J.E. Marsden: Classical elastodynamics as a linear symmetric hyperbolic system. J. Elasticity 8 (1978) 97?110.10.1007/BF00044512 ↗
9. L.T. Wheeler & E. Sternberg: Some theorems in classical elastodynamics. Arch. Rational Mech. Anal. 31 (1968) 51?90.10.1007/BF00251514 ↗
10. L.T. Wheeler: On the uniqueness of solutions to the displacement problem in linear elastodynamics. J. Elasticity 1 (1971) 121?124.10.1007/BF00046463 ↗