A structural theory of the coupled processes of deformation and short-term damage of unidirectional fibrous composites with physically nonlinear components whose stress–strain curves have a descending section is developed. The damage process is modeled as the collapse of dispersed microvolumes followed by the formation of quasispherical micropores. A strain-based failure criterion formulated for the second invariant of the deviatoric macrostrain tensor is used as a condition for the short-term damage of a microvolume of the material. The effect of the fiber volume fraction on the deformation and damage of a unidirectional fibrous composite is analyzed
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References
C. G. Amar, “Delamination—a damage mode in composite structures,” Eng. Frac. Mech., 29, No. 5, 557–584 (1988).
S. Baste and B. Audoin, “On internal variables in anisotropic damage,” Eur. J. Mech. A, 10, No. 6, 587–606 (1991).
P. P. Castaneda and J. R. Willis, “The effect of spatial distribution on the effective behavior of composite materials and cracked media,” J. Mech. Phys. Solids, 43, No. 12, 1951–1991 (1995).
J. L. Chaboche, “Continuous damage mechanics—a tool to describe phenomena before crack initiation,” Nucl. Eng. Design, No. 64, 233–247 (1981).
S. Chandrakanth and P. C. Pandey, “An isotropic damage model for ductile material,” Eng. Fract. Mater., 50, No. 6, 457–465 (1995).
A. N. Guz, “Establishing the foundations of the mechanics of fracture of materials compressed along cracks (review),” Int. Appl. Mech., 50, No. 1, 1–57 (2014).
L. P. Khoroshun, “Principles of the micromechanics of material damage. 1. Short-term damage,” Int. Appl. Mech., 34, No. 10, 1035–1041 (1998).
L. P. Khoroshun, “Mathematical models and methods of the mechanics of stochastic composites (review),” Int. Appl. Mech., 36, No. 10, 1284–1316 (2000).
L. P. Khoroshun, “Structural short-term damage model with a strain-based microfailure criterion,” Int. Appl. Mech., 49, No. 1, 62–72 (2013).
L. P. Khoroshun, “Necking near a crack tip in a plate: A plane problem,” Int. Appl. Mech., 51, No. 3, 326–341 (2015).
L. P. Khoroshun and L. V. Nazarenko, “Deformation and damage of composites with anisotropic components (review),” Int. Appl. Mech., 49, No. 4, 388–455 (2013).
L. P. Khoroshun and E. N. Shikula, “Deformation and damage of composite materials of stochastic structure: Physically nonlinear problems (review),” Int. Appl. Mech., 48, No. 4, 359–413 (2012).
N. Perez, Fracture Mechanics, Kluwer Academic Publishers, Boston (2004).
Y. Toi and T. Kiyosue, “Damage mechanics models for brittle microcracking solids based on three-dimensional mesoscopic simulation,” Eng. Fract. Mech., 50, No. 1, 11–27 (1995).
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Translated from Prikladnaya Mekhanika, Vol. 52, No. 3, pp. 71–82, May–June, 2016.
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Khoroshun, L.P. Deformation and Short-Term Damage of a Physically Nonlinear Unidirectional Fibrous Composite. Int Appl Mech 52, 272–281 (2016). https://doi.org/10.1007/s10778-016-0750-x
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DOI: https://doi.org/10.1007/s10778-016-0750-x