Abstract
The methods of fracture mechanics treated here are designed to define, calculate, and measure the surface energy of a solid, which generally depends on how the surface and material were manufactured, and on many other factors. Some new examples of the derivation of self-similar singular solutions to some non-linear partial differential equation systems of hyperbolic and elliptic type are given (Section 1.6 and 1.7). The work with the energy flow rate expressed by the invariant contour integral is shown for most important practical situations (Sections 1.3 – 1.10).
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References
K. N. Tu, Mayer, J. W. Mayer, and L.C. Feldman (1992), Electronic Thin Film Science, Macmillan, New York (Chapter 2).
A. W. Adamson (1982), Physical Chemistry of Surfaces,Wiley, New York (Chapters 1 and 2).
G. P. Cherepanov (1974). Mekhanika Khrupkogo Razrushenia, Moscow, Nauka; English edition (1979), Mechanics of Brittle Fracture, R. de Wit and W. C. Cooley (eds.), McGraw Hill, New York (Chapters 2 and 5, and Section 7.8).
A. Zangwill (1988), Physics at Surfaces, Cambridge University Press, Cambridge.
A. A. Griffith (1920), The phenomena of fracture and flow in solids, Proc. Roy. Soc. A 221, pp. 163–198; republished, as well as papers’’$ below, in Fracture: A Topical Encyclopedia of Current Knowledge (1996), G. Cherepanov (ed.), Krieger Publ., Melbourne, USA.
G. P. Cherepanov (1983), Fracture Mechanics of Composite Materials, Moscow, Nauka.
G. R. Irwin (1957), Analysis of stresses and strains near the end of a crack traversing a plate, J. Appl. Mech., 124 (3), pp. 361–370.
G. P. Cherepanov (1967), On crack propagation in continuous media, App. Math. and Mech. (PMM), 31 (3), pp. 476–488.
G. P. Cherepanov (1983), Fracture mechanics of multilayer shells. The theory of delamination, Appl. Math. and Mech. (PMM), 47 (5), pp. 968–985.
J. W. Hutchinson and Z. Suo (1992), Mixed mode cracking in layered materials, Advances in Applied Mechanics, 69, pp. 63–191.
X. Deng (1995), Mechanics of debonding and delamination in composites: asymptotic studies, Composites Engineering, 4 (9), pp. 1271–89
V. M. Abramov (1937), The contact problem of an elastic half-plane and a rigid punch, Doklady USSR Academy of Sciences, 17 (4), pp. 173–178.
L. A. Galin (1945), Punch indentation with account of friction and cohesion, Appl. Math. and Mech. (PMM), 9 (5), pp. 413–424.
B. M. Malyshev and R. L. Salganik (1965) The strength of adhesive joints using the theory of cracks, Int. J. Fracture Mech., 1, pp. 114–128.
G. I. Barenblatt and G. P. Cherepanov (1961), On the finiteness of stresses at a crack tip, Appl. Math. and Mech. (PMM), 25 (4), pp. 607–610.
C. Atkinson and J. D. Eshelby (1968), The flow of energy into the tip of a moving crack, Int. J. Fracture, 4, pp. 3–8.
G. P. Cherepanov (1968), Cracks in solids, J. Solids and Structures, 4 (4), pp. 811–831.
R. Hill (1950), Mathematical Theory of Plasticity, Clarendon Press. Oxford.
V. V. Sokolovsky (1950), Theory of Plasticity, Gostekhizdat, Moscow (in Russian).
C. Atkinson and M. L. Williams (1973), A note on the Cherepanov calculation of viscoelastic fracture, J. Solids and Structures, 9, pp. 237–241.
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© 1997 Springer Science+Business Media Dordrecht
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Cherepanov, G.P. (1997). Surface Energy of Solids. In: Methods of Fracture Mechanics: Solid Matter Physics. Solid Mechanics and Its Applications, vol 51. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2262-9_1
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DOI: https://doi.org/10.1007/978-94-017-2262-9_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4794-6
Online ISBN: 978-94-017-2262-9
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