Horii, H.; Nemat-Nasser, S. Overall moduli of solids with microcracks: load-induced anisotropy. (English) Zbl 0506.73097 J. Mech. Phys. Solids 31, 155-171 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 63 Documents MSC: 74R05 Brittle damage Keywords:linearly elastic brittle solid; microcracks; estimating overall instantaneous moduli; open; randomly distributed; overall response is isotropic; closed; frictional sliding; overall response becomes anisotropic; dependent on loading conditions; loading path; self- consistent method PDF BibTeX XML Cite \textit{H. Horii} and \textit{S. Nemat-Nasser}, J. Mech. Phys. Solids 31, 155--171 (1983; Zbl 0506.73097) Full Text: DOI OpenURL References: [1] Boas, W., Helv. phys. acta, 8, 674, (1935) [2] Boas, W.; Schmid, E., Helv. phys. acta, 7, 628, (1934) [3] Bruggeman, D.A.G., Z. phys., 92, 561, (1934) [4] Budiansky, B., J. mech. phys. solids, 13, 223, (1965) [5] Budiansky, B.; O’Connell, R.J., Int. J. solids struct., 12, 81, (1976) [6] Budiansky, B.; O’Connell, R.J., Solid Earth geophysics and geotechnology, (), 1 [7] Budiansky, B.; Wu, T.T., Proc. 4th U.S. national congress appl. mech., 1175, (1962) [8] Cleary, M.P., Int. J. solids struct., 14, 795, (1978) [9] Cleary, M.P.; Chen, I.W.; Lee, S.M., J. eng. mech. division, ASCE, 106, 861, (1980) [10] Eshelby, J.D., (), 376 [11] Hershey, A.V., J. appl. mech., 21, 236, (1954) [12] Hill, R., J. mech. phys. solids, 13, 89, (1965) [13] Hill, R., J. mech. phys. solids, 13, 213, (1965) [14] Hoenig, A., Eng. fract. mech., 16, 393, (1982) [15] Huber, A.; Schmid, E., Helv. phys. acta, 7, 620, (1934) [16] Hutchinson, J.W., (), 247 [17] Kachanov, M.L., Mechanics of materials, 1, 19, (1982) [18] Kachanov, M.L., Mechanics of materials, 1, 29, (1982) [19] Kröner, E., Z. phys., 151, 504, (1958) [20] Kröner, E., J. mech. phys. solids, 15, 319, (1967) [21] Mura, T., Micromechanics of defects in solids, (1982), Martinus Nijhoff Publ The Hague, Boston [22] Murakami, Y.; Nemat-Nasser, S., Eng. fract. mech., 16, 373, (1982) [23] Murakami, Y.; Nemat-Nasser, S., Eng. fract. mech., (1982), in press [24] O’Connell, R.J.; Budiansky, B., J. geophys. res., 82, 5719, (1977) [25] Reuss, A., Z. angew. math. mech., 9, 49, (1929) [26] Sih, G.C.; Paris, P.C.; Irwin, G.R., Int. J. fract. mech., 1, 189, (1965) [27] Taylor, G.I., (), 362 [28] Taylor, G.I., J. lnst. metals, 62, 307, (1938) [29] Voigt, W., Wied. ann., 38, 573, (1889) [30] Voigt, W., Lehrbuch der kristallphysik, (1910), Leipzig, Berlin · JFM 54.0929.03 [31] Willis, J.R., Int. J. engng. sci., 6, 253, (1968) [32] Willis, J.R., Adv. appl. mech., 21, 1, (1981) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.