Singularity problems in linear elastodynamics
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 18 (1991) no. 1, p. 103-133
@article{ASNSP_1991_4_18_1_103_0,
     author = {Carbonaro, Bruno and Russo, Remigio},
     title = {Singularity problems in linear elastodynamics},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 18},
     number = {1},
     year = {1991},
     pages = {103-133},
     zbl = {0734.73008},
     mrnumber = {1118223},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1991_4_18_1_103_0}
}
Carbonaro, Bruno; Russo, Remigio. Singularity problems in linear elastodynamics. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 18 (1991) no. 1, pp. 103-133. http://www.numdam.org/item/ASNSP_1991_4_18_1_103_0/

[1] M.E. Gurtin, The linear theory of elasticity, in Handbuch der Physik (ed. C. Truesdell), vol. VIa/2, Springer (1971).

[2] L.T. Wheeler - E. Sternberg, Some theorems in classical elastodynamics, Arch. Rational Mech. Anal. 31 (1968), 51-90. | MR 1553519 | Zbl 0187.47003

[3] L.T. Wheeler, Some results in the linear dynamical theory of anisotropic elastic solids, Quart. Appl. Math. 28 (1970), 91-101. | MR 269162 | Zbl 0219.73007

[4] L.T. Wheeler, On the uniqueness of solutions for the displacement problem in linear elastodynamics, J. Elasticity 1 (1971), 121-124. | MR 475142

[5] B. Carbonaro - R. Russo, Energy inequalities and the domain of influence theorem in classical elastodynamics, J. Elasticity 14 (1984), 163-174. | MR 747058 | Zbl 0547.73011

[6] B. Carbonaro - R. Russo, The work and energy theorem and Graffi's reciprocity relation for hyperelastic bodies that may stiffen at infinity, in Atti del 7° Congresso Nazionale AIMETA (Trieste, 2-5 ottobre 1984), vol. 2, Trieste (1984), 37-46.

[7] B. Carbonaro - R. Russo, The uniqueness problem in the dynamical theory of linear hyperelasticity in unbounded regions, in Atti del 7° Congresso Nazionale AIMETA (Trieste, 2-5 ottobre 1984), vol. 2, Trieste (1984), 47-56.

[8] 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, in III Meeting: Waves and Stability in Continuous Media (Atti). Laterza, Bari 1988.

[9] (a) B. Carbonaro, Some examples of nonuniqueness of solutions to the equation of linear elastodynamics, J. Elasticity 17 (1987), 207-222; (b) B. Carbonaro, Addendum to "Some example of nonuniqueness of solutions to the equation of linear elastodynamics", J. Elasticity 19 (1988), 93-98. | MR 888316 | Zbl 0622.73003

[10] J.K. Knowles, On the dissipation associated with equilibrium shocks in finite elasticity, J. Elasticity 9 (1979). | MR 535274 | Zbl 0407.73037

[11] R. Russo, On the dynamics of an elastic body containing a moving crack, J. Elasticity 16 (1986), 367-374. | MR 868768 | Zbl 0606.73111

[12] B. Carbonaro - R. Russo, Sharp uniqueness classes in linear elastodynamics, to appear. | MR 1149471 | Zbl 0760.73011

[13] M. Fabrizio - A. Hanyga, Mixed problems for linear hyperbolic equation with unbounded coefficients, Ann. Univ. Ferrara, Sez. VII, 32 (1986).

[14] A.E. Hurd - D.H. Sattinger, Questions of existence and uniqueness for hyperbolic equations with discontinuous coefficients, Trans. Amer. Math. Soc. 132 (1968), 159-174. | MR 222457 | Zbl 0155.16401