References
Alers, G.A., Neighbours, J.R., (1958). “The elastic constants of zinc between 4.2° and 670°K.” Journal of Physics and Chemistry of Solids 7, p.58.
Arruda, E. and Boyce, M.C. (1992), “A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials,” J. Mech. Phys. Solids, 41, p.389.
Bateman, T.B., 1962. “Elastic Moduli of Single-Crystal Zinc Oxide.” Journal of Applied Physics 33, p.3309
Bergstrom J.S., and Boyce M.C., (1998), “Constitutive modeling of the large strain time-dependent behavior of elastomers.” J. Mech. Phys. Solids., 46 p.931.
Blatz, P.J. and Ko W.L. (1962), Application of finite elastic theory to the deformation of rubbery materials,” Trans. Soc. Rheol., 6, p.224
Bryant M.D., and Keer L.M., (1982), “Rough Contact Between Elastically and Geometrically Identical Curved Bodies,” J. Appl. Mech., 49, p.345.
Bolef, D.I., 1961. “Elastic Constants of Single Crystals of the bcc Transition Elements V, Nb, and Ta.” Journal of Applied Physics 32, p.100
Bolef, D.I., De Klerk, J., (1962). “Elastic Constants of Single-Crystal Mo and W between 77° and 500°K.” Journal of Applied Physics 33, p.2311.
Bond, W.L., Mason, W.P., McSkimin, H.J., Olsen, K.M., Teal, G.K., (1950). “The Elastic Constants of Germanium Single Crystals.” Physical Review 78, p.176.
Boyle, W.F., Sladek, R.J., 1975. “Elastic constants and lattice anharmonicity of GaSb and GaP from ultrasonic-velocity measurements between 4.2 and 300 K.” Physical Review B 11, p.2933
Briscoe, C.V., Squire, C.F., 1957. “Elastic Constants of LiF from 4.2 to 300 K by Ultrasonic Methods.” Physical Review 106, p.1175.
Cai W., Arsenlis A., Weinberger C. R. and Bulatov V V, (2006), “A non- singular continuum theory of dislocations,” J. Mech. Phys. Solids, 54, p.561.
Charalambides P.G., Cao H.C., Lund J. and Evans A.G., (1990), “Development of a Test Method for. Measuring the Mixed Mode Fracture Resistance of Bimaterial interfaces,” Mechanics of Materials, 8, p.269.
Clifton R.J., (1990), “High strain rate behavior of metals,” Applied Mechanics Reviews, 43, p.S9-S22.
Coker D., Lykotrafitis, G., Needleman A., and Rosakis A., (2005), “Frictional sliding modes along an interface between identical elastic plates subject to shear impact loading,” J. Mech. Phys. Solids, 53 p.884.
Comninou M. (1977), “Interface crack with friction in the contact zone,” J. Appl. Mech., 44, p.631.
Cottam, R.I., Saunders, G.A., (1973). “The elastic constants of GaAs from 2 K to 320 K.” Journal of Physics C: Solid State Physics 6, p.2105.
De Klerk, J., (1965). “Elastic Constants and Debye Temperature of TiC Using a New Ultrasonic Coherent Pulse Technique.” Review of Scientific Instruments 36, p.1540-1545.
Dever, D.J., (1972). “Temperature dependence of the elastic constants in α-iron single crystals: relationship to spin order and diffusion anomalies.” Journal of Applied Physics 43, p.3293.
Dieterich J.H., (1979), “Modeling of rock friction 1. experimental results and constitutive equations,” J. Geophys. Res., 84, p.2161.
Eshelby J.D., (1957), “The determination of the elastic field of an ellipsoidal inclusion and related problems,” Proc. Roy. Soc. Lond., A241 p.376.
Eshelby J.D., (1959), “The elastic field outside an ellipsoidal inclusion,” Proc. Roy. Soc. Lond., A252, p.561.
Fisher, E.S., Renken, C.J., (1964). “Single-Crystal Elastic Moduli and the hcp to bcc Transformation in Ti, Zr, and Hf.” Physical Review 135, A482-A494.
Flanagan D.P. and Belytschko T., (1981), “A uniform strain hexahedron and quadrilateral with orthogonal hourglass control,” Int J. Num. Meth. in Eng., 17, p.679.
Frewer, M. (2009) “More clarity on the concept of material frame-indifference in classical continuum mechanics,” Acta Mechanica, 202, p.213.
Frost H.J. and Ashby M.F., (1982), “Deformation Mechanism Maps,” Pergamon Press, N.Y.
Gearing B.P., Moon H.S., Anand L., (2001), “A plasticity model for interface friction: application to sheet metal forming,” Int. J. Plasticity, 17, p.237.
Hamilton, G.M., (1983), “Explicit equations for stresses beneath a sliding spherical contact,” Proc I. Mech E., 197C, p.53.
He, M. and Hutchinson J.W., (1981), “The Penny-Shaped Crack and the Plane Strain Crack in an Infinite Body of Power-Law Material,” J. Appl. Mech., 48, p.830.
Hutchinson J.W., (1968), “Singular behavior at the end of a tensile crack in a hardening material,” J. Mech. Phys. Solids, 16, p.13.
Hickernell, F.S., Gayton, W.R., (1966). “Elastic Constants of Single-Crystal Indium Phosphide.” Journal of Applied Physics 37, p.462.
Johnson, G.R. and Cook, W.H. (1985) “Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressure,” Eng. Fract Mech, 21 (1), 21-48.
Johnson, K.L., (1985) “Contact Mechanics,” C.U.P. Cambridge.
Jones, D.R.H. and Ashby, M.F. (2019) Engineering Materials 1: An Introduction to Properties, Applications, and Design,” 5th Ed. Butterworth Heinemann, Oxford
Kreyzig, “Advanced Engineering Mathematics,” (1998), Wiley, New York.
Ledbetter, H.M., Naimon, E.R., (1974). “Elastic Properties of Metals and Alloys. II. Copper.” Journal of Physical and Chemical Reference Data 3, p.897.
Lee, M., Gilmore, R.S., (1982). “Single crystal elastic constants of tungsten monocarbide.” Journal of Materials Science 17, p.2657.
Leichti K.M. Knauss W. (1982), “Crack Propagation at Material Interfaces: I. Experimental Technique to Determine Crack Profiles,” Exp. Mech. 22 p.383.
LeMaitre, J. (1985) “A continuous damage mechanics model for ductile fracture,” J. Eng. Mater. Technol. 107(1) p.83
Liu Y. and Mahadevan S., (2005), “Multiaxial high-cycle fatigue criterion and life prediction for metals,” Int. J. Fatigue, 27, p.790.
MacFarlane, R.E., Rayne, J.A., Jones, C.K., (1966). “Temperature dependence of elastic moduli of iridium.” Physics Letters 20, p.234.
Matthies G. and Strang H., (1979), “The solution of Nonlinear Finite Equations,” Int J. Num. Meth. in Eng.,. 14, p.1613
Marklund, K. and Mahmoud, S.A., (1971) “Elastic constants of magnesium oxide” Physica Scripta, 3, p.75.
McCrum N.G., Buckley C.P., Bucknall C.B., (1997), “Principles of Polymer Engineering,” O.U.P., New York, p.112.
McSkimin, H.J., (1955). “Measurement of the Elastic Constants of Single Crystal Cobalt.” Journal of Applied Physics 26, p.406.
McSkimin, H.J., Andreatch, P., Jr., (1972). “Elastic Moduli of Diamond as a Function of Pressure and Temperature.” Journal of Applied Physics 43, p.2944.
McSkimin, H.J., Bond, W.L., Buehler, E., Teal, G.K., (1951). “Measurement of the Elastic Constants of Silicon Single Crystals and Their Thermal Coefficients.” Physical Review 83, p.1080.
Mooney M., (1940), “A theory of large elastic deformation,” J. Appl. Phys., 11, p.582.
Murakami (1987), “Stress intensity factors handbook,” Pergamon Press, New York.
Neighbours, J.R., Alers, G.A., (1958). “Elastic Constants of Silver and Gold.” Physical Review 111, p.707.
Neighbours, J.R., Bratten, F.W., Smith, C.S., (1952). “The Elastic Constants of Nickel.” Journal of Applied Physics 23, p.389
Ogden, R. (1972), “Large deformation isotropic elasticity - On the Correlation
of Theory and Experiment for Incompressible Rubberlike Solids,” Proc. R. Soc. Lond., A326, p.565
Ogden, R. (1972), “Large deformation isotropic elasticity - on the correlation
of theory and experiment for compressible rubberlike solids,” Proc. R. Soc. Lond., A328 p.567.
Ortiz M., and Pandolfi A., (1999), “Finite-deformation irreversible cohesive clement for three-dimensional crack-propagation analysis,” Int. J. Num. Meth. in Eng., 44, p.1276.
Palmer, S.B., Lee, E.W., (1971). “The elastic constants of chromium.” The Philosophical Magazine: A Journal of Theoretical Experimental and Applied Physics 24, p.311.
Pierce D., Asaro R.J. and Needleman A., (1983), “Material rate dependence and localized. deformation in crystalline solids,” Acta Metall., 31, p.1951.
Prakash V., (1998), “Frictional response of sliding interfaces subjected to time varying normal pressures,” Journal of Tribology, 120, p.27.
Quested, D.L., Pae, K.D., Sheinbein, J.L., Newman, B.A., (1981), “Viscoplastic behavior of a rubber at high pressures,” J. Appl. Phys, 52, p.5977.
Rayne, J.A., (1960). “Elastic Constants of Palladium from 4.2 K to 300 K” Physical Review 118, p.1545.
Rice J.R., Paris P.C. and Merkle J.G., (1973), “Progress in Flaw Growth and Fracture Toughness Testing,” ASTM STP 536., p.231.
Rice J.R. and Rosengren, (1968), “Plane strain deformation near a crack tip in a power-law. hardening material,” J. Mech. Phys. Solids, 16, p.31.
Ruina A.L., (1983), “Slip instability and state variable friction laws,” J. Geophys. Res. 88, p.10359.
Sackfield A. and Hills D.A., (1983), “A note on the Hertz contact problem: a correlation of standard formulae,” J. Strain Anal. 18, p.105.
Shute, N., (1948) “No Highway,” Heinemann, London.
Simmons G., and Wang H., (1970), “Single Crystal Elastic Constants and Calculated Aggregate Properties,” MIT Press.
Simo, J. C., and Rifai, M.S., (1990), “Class of mixed assumed strain methods and the method of incompatible modes,” Int J. Num. Meth in Eng. 29, p.1595.
Simo, J. C., and Armero, F., (1992), “Geometrically nonlinear enhanced strain mixed methods and the method of incompatible modes,” Int J. Num. Meth in Eng., 33, p.1413.
Slutsky, L.J., Garland, C.W., (1957). “Elastic Constants of Magnesium from 4.2K to 300K.” Physical Review 107, p.972.
Specht, B. (1988) “Modified shape functions for the three-node plate bending element passing the patch test,” Int J. Num. Meth in Eng., 26, (3) p.705.
Sternberg E., (1954), “On Saint-Venant’s principle,” Q. J. Appl. Mech., 11 p.393. (188).
Storakers B. (1986) “On material representation and constitutive branching in finite compressible elasticity,” J Mech Phys Solids. 34 p.125
Suo Z. and Hutchinson J.W., (1989), “Sandwich test specimens for measuring interface crack toughness,” Mat. Sci. and Eng. A107, p.135.
Tada H., Paris P.C. and Irwin G.R., (2000), “The Stress Analysis of Cracks Handbook,” ASME; 3rd edition.
Tallon, J.L., Wolfenden, A., (1979). “Temperature dependence of the elastic constants of aluminum.” Journal of Physics and Chemistry of Solids 40, p.831.
Tessler, A., Hughes, J.R. (1985) “A three-node Mindlin plate element with improved transverse shear,” Computer Methods in Applied Mechanics and Engineering, 50 (1) p.71
Timoshenko S.P. and Woinowsky-Krieger S., (1959), `Theory of Plates and Shells,’ McGraw-Hill, New York.
Ting T.C.T. (1996), “Anisotropic Elasticity: Theory and Applications” O.U.P. New York.
Treloar L.R.G., (1948), “Stresses and birefringence in rubber subjected to general homogeneous strain,” Proc. Phys. Soc., 60, p.135.
Treloar L.R.G., (1944), “Stress-strain data for vulcanized rubber under various states of deformation,” Trans. Faraday Soc. 40, p.59.
Vold, C.L., Glicksman, M.E., Kammer, E.W., Cardinal, L.C., (1977). “The elastic constants for single-crystal lead and indium from room temperature to the melting point.” Journal of Physics and Chemistry of Solids 38, p.157
Wood D.M., (1990), “Soil Behavior and Critical State Soil Mechanics,” C. U. P., Cambridge.
Xu, X.P. and Needleman A., (1995), “Numerical simulations of fast crack growth in brittle solids,” J Mech. Phys. Solids, 42 p.1397.