Abstract
The structural theory of short-term microdamage is generalized to a laminated composite with a microdamageable matrix and physically nonlinear reinforcement. The basis for the generalization is the stochastic elasticity equations of a laminated composite with a porous matrix. Microvolumes in the matrix material meet the Huber-Mises failure criterion. The damaged-microvolume balance equation for the matrix is derived. This equation and the equations relating macrostresses and macrostrains of a laminated composite with porous matrix and physically nonlinear reinforcement constitute a closed-form system of equations. This system describes the coupled processes of physically nonlinear deformation and microdamage occurring in different composite components. Algorithms for computing the microdamage-macrostrain relationships and deformation diagrams are developed. Uniaxial tension curves are plotted for a laminated composite with linearly hardening reinforcement
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ya. S. Berezikovich, Approximate Calculations [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., No. 3, 433–441 (1988).
L. P. Khoroshun, “Methods of theory of random functions in problems of macroscopic properties of microinhomogeneous media,” Int. Appl. Mech., 14, No. 2, 113–124 (1978).
L. P. Khoroshun, “Conditional-moment method in problems of the mechanics of composite materials,” Int. Appl. Mech., 23, No. 10, 989–996 (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., 37, 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).
L. P. Khoroshun and E. N. Shikula, “Theory of short-term microdamageability for a homogeneous material under physically nonlinear deformation,” Int. Appl. Mech., 40, No. 4, 388–395 (2004).
L. P. Khoroshun and E. N. Shikula, “Short-term microdamage of a granular material under physically nonlinear deformation,” Int. Appl. Mech., 40, No. 6, 656–663 (2004).
L. P. Khoroshun and E. N. Shikula, “Influence of physically nonlinear deformation on short-term microdamage of a laminar material,” Int. Appl. Mech., 40, No. 8, 878–885 (2004).
L. P. Khoroshun and E. N. Shikula, “Influence of physically nonlinear deformation on short-term microdamage of a fibrous material,” Int. Appl. Mech., 40, No. 10, 1137–1144 (2004).
Author information
Authors and Affiliations
Additional information
__________
Translated from Prikladnaya Mekhanika, Vol. 41, No. 11, pp. 47–56, November 2005.
Rights and permissions
About this article
Cite this article
Khoroshun, L.P., Shikula, E.N. Deformation of a laminated composite with a physically nonlinear reinforcement and microdamageable matrix. Int Appl Mech 41, 1246–1253 (2005). https://doi.org/10.1007/s10778-006-0030-2
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10778-006-0030-2