A potential representation for two-dimensional waves in elastic materials of harmonic type

Authors: R. F. Jeffers and J. K. Knowles
Journal: Quart. Appl. Math. 29 (1971), 449-452
DOI: https://doi.org/10.1090/qam/99752
MathSciNet review: QAM99752
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Fritz John, Plane strain problems for a perfectly elastic material of harmonic type, Comm. Pure Appl. Math. 13 (1960), 239–296. MR 118022, DOI https://doi.org/10.1002/cpa.3160130206
Fritz John, Plane elastic waves of finite amplitude. Hadamard materials and harmonic materials, Comm. Pure Appl. Math. 19 (1966), 309–341. MR 201113, DOI https://doi.org/10.1002/cpa.3160190306
Eli Sternberg, On the integration of the equations of motion in the classical theory of elasticity, Arch. Rational Mech. Anal. 6 (1960), 34–50 (1960). MR 119547, DOI https://doi.org/10.1007/BF00276152

C. Somigliana, Sulle espressioni analitiche generali dei movimenti oscillatori, Atti Reale Accad. Lincei. Roma (5) 1, 111 (1892)