Abstract
The structural theory of short-term damage is generalized to the case where the undamaged isotropic matrix of a fibrous composite with transversely isotropic fibers deforms nonlinearly, with microdamages occurring only in the matrix. The basis for this generalization is the stochastic elasticity equations for a fibrous composite with porous matrix whose skeleton deforms nonlinearly. Microvolumes of the matrix meet the Huber-Mises failure criterion. The damaged microvolume balance equation is derived for the physically nonlinear material of the matrix based on the properties of the ultimate microstrength distribution. Together with the equations relating macrostresses and macrostrains of the fibrous composite with porous nonlinear matrix, they constitute a closed-form system. This system describes the coupled processes of physically nonlinear deformation and microdamage. Algorithms for calculating the dependences of macrostresses and microdamages on macrostrains are proposed. Uniaxial tension curves are plotted for a fibrous composite with linearly hardening matrix.
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REFERENCES
Ya. S. Berezikovich, Approximate Calculation [in Russian], GITTL, Moscow–Leningrad (1949).
A. N. Guz, L. P. Khoroshun, G. A. Vanin et al., Mechanics of Materials, Vol. 1 of the three-volume series Mechanics of Composites and Structural Members [in Russian], Naukova Dumka, Kiev (1982).
A. F. Kregers, “Mathematical simulation of the thermal expansion of spatially reinforced composites,” Mekh. Komp. Mater., No. 3, 433–441 (1988).
L. P. Khoroshun, “Random function methods in problems on the macroscopic properties of microinhomogeneous media,” Prikl. Mekh., 14, No. 2, 3–17 (1978).
L. P. Khoroshun, “The method of conditional moments in problems of the mechanics of composites,” Prikl. Mekh., 23, No. 10, 100–108 (1987).
L. P. Khoroshun, “Fundamentals of the micromechanics of damage. 1. Short-term damage,” Prikl. Mekh., 34, No. 10, 120–127 (1998).
L. P. Khoroshun, B. P. Maslov, E. N. Shikula, and L. V. Nazarenko, Statistical Mechanics and Effective Properties of Materials, Vol. 3 of the 12-volume series Mechanics of Composites [in Russian], Naukova Dumka, Kiev (1993).
L. P. Khoroshun and E. N. Shikula, “The theory of short-term microdamageability of granular composite materials,” Int. Appl. Mech., 36, No. 8, 1060–1066 (2000).
L. P. Khoroshun and E. N. Shikula, “Simulation of the short-term microdamageability of laminated composites,” Int. Appl. Mech., 36, No. 9, 1181–1186 (2000).
L. P. Khoroshun and E. N. Shikula, “Short-term microdamageability of fibrous composites with transversally isotropic fibers and a microdamaged binder,” Int. Appl. Mech., 36, No. 12, 1605–1611 (2000).
L. P. Khoroshun and E. N. Shikula, “Influence of temperature on the microdamage of a granular material,” Visn. Kyiv. Univ., Ser. Fiz.-Mat. Nauky, No. 5, 382–387 (2001).
L. P. Khoroshun, “Micromechanics of short-term thermal microdamageability,” Int. Appl. Mech., 37, No. 9, 1158–1165 (2001).
L. P. Khoroshun and E. N. Shikula, “The micromechanics of short-term damageability of fibrolaminar composites,” Int. Appl. Mech., 36, No. 5, 638–646 (2001).
L. P. Khoroshun and E. N. Shikula, “A note on the theory of short-term microdamageability of granular composites under thermal actions,” Int. Appl. Mech., 38, No. 1, 60–67 (2002).
L. P. Khoroshun and E. N. Shikula, “Short-term microdamageability of laminated materials under thermal actions,” Int. Appl. Mech., 38, No. 4, 432–439 (2002).
L. P. Khoroshun and E. N. Shikula, “Short-term microdamageability of fibrous materials with transversely isotropic fibers under thermal actions,” Int. Appl. Mech., 38, No. 6, 701–709 (2002).
L. P. Khoroshun and E. N. Shikula, “Short-term damage micromechanics of laminated fibrous composites under thermal actions,” Int. Appl. Mech., 38, No. 9, 1083–1093 (2002).
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Translated from Prikladnaya Mekhanika, Vol. 40, No. 10, pp. 88–97, October 2004.
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Khoroshun, L.P., Shikula, E.N. Influence of physically nonlinear deformation on short-term microdamage of a fibrous material. Int Appl Mech 40, 1137–1144 (2004). https://doi.org/10.1007/s10778-004-0004-1
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DOI: https://doi.org/10.1007/s10778-004-0004-1