A note on the displacement boundary-value problem of linearized elastodynamics
Bibliographic record
Abstract
No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.
Source: Not provided · Quality: missing
Research context
OpenAlex topics: Advanced Mathematical Modeling in Engineering · Contact Mechanics and Variational Inequalities · Elasticity and Wave Propagation
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (13)
Show source-provided references
1. See, for example: Toupin, R. A., and Bernstein, B., Sound waves in deformed perfectly elastic materials. Acoustoelastic effect. Journal of the Acoustical Society of America 33, (1961) 216–225.10.1121/1.1908623 ↗
2. Neumann, F., Vorlesungen über die Theorie der Elasticität der Festen Körper und des Lichtäthers. B. G. Teubner, Leipzig (1885).
3. Knops, R. J., and Payne, L. E., Uniqueness Theorems in Linear Elasticity, Springer Tracts in Natural Philosophy, Volume 19. Springer-Verlag, Berlin, (1971).
4. Gurtin, M. E., and Sternberg, E. A note on uniqueness in classical elastodynamics. Quart. Appl. Math 19, (1961) 169–17110.1090/qam/129226 ↗
5. Gurtin, M. E., and Toupin, R. A. A uniqueness theorem for the displacement boundary-value problem of linear elastodynamics. Quart. Appl. Math. 23., (1965) 79–81.10.1090/qam/177557 ↗
6. Hayes, M., and Knops, R. J. On the displacement boundary-value problem of linear elastodynamics. Quart. Appl. Math 26, (1968) 291–293.10.1090/qam/99851 ↗
7. Wheeler, L. T., and Sternberg, E. Some theorems in classical elastodynamics, Archive for Rational Mechanics and Analysis 31, (1968) 51–90.10.1007/BF00251514 ↗
8. Wheeler, L. T., Some results in the linear dynamical theory of anisotropic elastic solids. Quart. Appl. Math. 28, (1970) 91–101.10.1090/qam/269162 ↗
9. Wheeler, L. T., On the uniqueness of solutions to the displacement problem in linear elastodynamics. Journal of Elasticity 1, (1971) 121–124.10.1007/BF00046463 ↗
10. Knops, R. J., and Payne, L. E. Uniqueness in classical elastodynamics. Archive for Rational Mechanics and Analysis 27, (1968) 349–355.10.1007/BF00251437 ↗
11. Brun, L., Méthodes énergétiques dans les systèmes évolutifs linéaires. Première Partie: Séparation des énergies. Deuxième Partie: Théorèmes d'unicité. Journal de Mécanique 8, (1969) 125–166, 167–192.
12. Knops, R. J., and Payne, L. E. Stability in linear elasticity. International Journal of Solids and Structures 4, (1968) 1233–1242.10.1016/0020-7683(68)90007-3 ↗
13. Knops, R. J., and Payne, L. E. Continuous data dependence for the equations of classical elastodynamics. Proceedings of the Cambridge Philosophical Society 66, (1969) 481–491.10.1017/S0305004100045217 ↗