1. P. Briiesch, Phonons: Theory and Experiments. I. Lattice Dynamics and Models of Interatomic Forces, Springer-Verlag, Berlin (1982). Very good for physical models.
2. J. W. Cochran, The Dynamics of Atoms in Crystals, E. Arnold, Ltd., London (1973). Also very intuitive and good for physical models, although less up to date and more restricted in scope than Briiesch.
3. G. W. Leibfried, “Lattice dynamics,” in: Theory of Condensed Matter, ICTP International College, 1967, p. 175, International Atomic Energy Agency, Vienna (1968). A good general introduction. Authoritative pedagogic presentation of general principles. Formal aspects made easy.
4. A. A. Maradudin, E. W. Montroll, G. H. Weiss, and I. P. Ipatova, “Theory of lattice dynamics in the harmonic approximation,” in: Supplement 3 of the series Solid State Physics (H. Ehrenreich, F. Seitz, and D. Turnbull, eds.), Academic Press, New York (1971). Formal and advanced aspects. For professionals. Contains also a chapter on surfaces. Also, many standard textbooks on physics of solids contain general treatments of bulk lattice dynamics at different levels to suit all tastes.
5. G. W. Farnell, “Properties of elastic surface waves,” in: Physical Acoustics, Vol. III (W. P. Mason, ed.), Academic Press, New York (1969). Rather extensive and dealing exclusively with the long-wave (elastic-wave) limit. Formulation based on traditional matching method. Contains a great deal of information.