Abstract
The theory of microdamageability of fibrous materials with transversely isotropic fibers is stated with account taken of the thermal effect. Microdamages in the isotropic matrix are simulated by pores empty or filled with particles of damaged material that resist compression. The fracture criterion for a microvolume of the matrix is assumed to have the Nadai–Schleicher form, which takes into account the difference between the tensile and compressive ultimate loads, with the ultimate strength being a random function of coordinates with a power or Weibull distribution. The stress–strain state and the effective properties of the material are determined from the thermoelastic equations for fibrous materials with a porous matrix. The deformation and microdamage equations are closed by the equations of porosity balance corrected for the thermal effect. For various types of loading, nonlinear relations are derived for the coupled processes of deformation of a fibrous material and microdamage of the matrix due to the thermal macrostrain. The effect of physical and geometrical parameters on these processes is studied.
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 Composite Materials and Structural Elements [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, “Methods of the theory of random functions 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 the mechanics of composites,” Prikl. Mekh., 23, No. 10, 100–108 (1987).
L. P. Khoroshun, B. P. Maslov, E. N. Shikula, and L. V. Nazarenko, Statistical Mechanics and the Effective Properties of Materials, Vol. 3 of the 12-volume series Mechanics of Composites [in Russian], Naukova Dumka, Kiev (1993).
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, “Micromechanics of short-term thermal damageability,” Int. Appl. Mech., 37, No. 9, 1158–1165 (2001).
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).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Khoroshun, L.P., Shikula, E.N. Short-Term Microdamageability of Fibrous Materials with Transversely Isotropic Fibers Under Thermal Actions. International Applied Mechanics 38, 701–709 (2002). https://doi.org/10.1023/A:1020428811784
Issue Date:
DOI: https://doi.org/10.1023/A:1020428811784