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A continuum theory of elastic material surfaces. (English) Zbl 0326.73001

MSC:
74Axx Generalities, axiomatics, foundations of continuum mechanics of solids
74A99 Generalities, axiomatics, foundations of continuum mechanics of solids
74B99 Elastic materials
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[1] 1928 Lennard-Jones, J. E., & B. M. Dent, Change in lattice spacing at crystal boundary. Proc. Roy. Soc. A 121, 247–259. · doi:10.1098/rspa.1928.0194
[2] 1930 Lennard-Jones, J. E., Note on the dependence of crystal spacing on crystal size. Zeits. f. Kristallog. 75, 215–216.
[3] 1932 Orowan, E., Bemerkung zu den Arbeiten von F.Zwicky über die Struktur der Realkristalle. Zeits. f. Physik. 79, 573–582. · Zbl 0006.04402 · doi:10.1007/BF01330509
[4] 1941 Adam, N. K., The Physics and Chemistry of Surfaces, 3rd edition. London: Oxford University Press. · JFM 56.0729.05
[5] 1950 Shuttleworth, R., The surface tension of solids. Proc. Phys. Soc. A 63, 444–457. · doi:10.1088/0370-1298/63/5/302
[6] 1953 Herring, C,The use of classical macroscopic concepts in surface energy problems, in Structure and Properties of Solid Surfaces (ed. R. Gomer & C.S. Smith). University of Chicago Press.
[7] 1958 Halmos, P.R., Finite-dimensional Vector Spaces. Princeton-Toronto-London-New York: Van Nostrand.
[8] 1959 Landau, L.D., & E.M. Lifshitz, Fluid Mechanics. London-Paris-Frankfurt: Pergamon.
[9] 1960 Scriven, L.E., Dynamics of a fluid interface. Chem. Eng. Sc. 12, 98–108. · doi:10.1016/0009-2509(60)87003-0
[10] 1960 Truesdell, C., & R. Toupin, The Classical Field Theories. In Handbuch der Physik, Vol. III/1 (ed. S. Flügge). Berlin-Göttingen-Heidelberg: Springer.
[11] 1964 Nadeau, G., Introduction to Elasticity. New York-Chicago-San Francisco-Toronto-London: Holt, Rinehart & Wilson. · Zbl 0105.36102
[12] 1965 Truesdell, C., & W. Noll, The Non-linear Field Theories of Mechanics. Handbuch der Physik, Vol. III/3 (ed. S. Flügge). Berlin-Heidelberg-New York: Springer. · Zbl 0779.73004
[13] 1966 Truesdell, C., The Elements of Continuum Mechanics. New York: Springer. · Zbl 0188.58803
[14] 1967 Adamson, A.W., Physical Chemistry of Surfaces. New York-London: Interscience.
[15] 1968 Fisher, G.M.C., & M.J. Leitman, On continuum thermodynamics with interfaces. Arch. Rational Mech. Anal. 30, 225–262. · doi:10.1007/BF00253875
[16] 1968 Goodier, J.N., Mathematical theory of equilibrium cracks. In Fracture an Advanced Treatise. Vol. II (ed. H. Liebowitz). New York-London: Academic Press. · Zbl 0207.23701
[17] 1970 Orowan, E., Surface energy and surface tension in solids and fluids. Proc. Roy. Soc. A 316, 473–491. · doi:10.1098/rspa.1970.0091
[18] 1972 Gurtin, M.E., The Linear Theory of Elasticity. In Handbuch der Physik, Vol. VIa/2 (ed. C. Truesdell). Berlin-Heidelberg-New York: Springer.
[19] 1972 Naghdi, P.M., The Theory of Shells and Plates. In Handbuch der Physik, Vol. VIa/2 (ed. C. Truesdell). Berlin-Heidelberg-New York: Springer. · Zbl 0334.73028
[20] 1972 Williams, W.O., Axioms for work and energy in general continua. II. Surfaces of discontinuity. Arch. Rational Mech. Anal. 49, 225–240. · Zbl 0253.73001 · doi:10.1007/BF00255667
[21] 1973 Noll. W., Lectures on the foundations of continuum mechanics and thermodynamics. Arch. Rational Mech. Anal. 52, 62–92. · Zbl 0284.73002 · doi:10.1007/BF00249093
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