@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}, pages = {103--133}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 18}, number = {1}, year = {1991}, mrnumber = {1118223}, zbl = {0734.73008}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1991_4_18_1_103_0/} }
TY - JOUR AU - Carbonaro, Bruno AU - Russo, Remigio TI - Singularity problems in linear elastodynamics JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1991 SP - 103 EP - 133 VL - 18 IS - 1 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1991_4_18_1_103_0/ LA - en ID - ASNSP_1991_4_18_1_103_0 ER -
%0 Journal Article %A Carbonaro, Bruno %A Russo, Remigio %T Singularity problems in linear elastodynamics %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1991 %P 103-133 %V 18 %N 1 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1991_4_18_1_103_0/ %G en %F 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, Série 4, Tome 18 (1991) no. 1, pp. 103-133. http://www.numdam.org/item/ASNSP_1991_4_18_1_103_0/
[1] The linear theory of elasticity, in Handbuch der Physik (ed. C. Truesdell), vol. VIa/2, Springer (1971).
,[2] Some theorems in classical elastodynamics, Arch. Rational Mech. Anal. 31 (1968), 51-90. | MR | Zbl
- ,[3] Some results in the linear dynamical theory of anisotropic elastic solids, Quart. Appl. Math. 28 (1970), 91-101. | MR | Zbl
,[4] On the uniqueness of solutions for the displacement problem in linear elastodynamics, J. Elasticity 1 (1971), 121-124. | MR
,[5] Energy inequalities and the domain of influence theorem in classical elastodynamics, J. Elasticity 14 (1984), 163-174. | MR | Zbl
- ,[6] 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] 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] 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) Some examples of nonuniqueness of solutions to the equation of linear elastodynamics, J. Elasticity 17 (1987), 207-222; (b) , Addendum to "Some example of nonuniqueness of solutions to the equation of linear elastodynamics", J. Elasticity 19 (1988), 93-98. | MR | Zbl
,[10] On the dissipation associated with equilibrium shocks in finite elasticity, J. Elasticity 9 (1979). | MR | Zbl
,[11] On the dynamics of an elastic body containing a moving crack, J. Elasticity 16 (1986), 367-374. | MR | Zbl
,[12] Sharp uniqueness classes in linear elastodynamics, to appear. | MR | Zbl
- ,[13] Mixed problems for linear hyperbolic equation with unbounded coefficients, Ann. Univ. Ferrara, Sez. VII, 32 (1986).
- ,[14] Questions of existence and uniqueness for hyperbolic equations with discontinuous coefficients, Trans. Amer. Math. Soc. 132 (1968), 159-174. | MR | Zbl
- ,