caa a22 4500 463164504 CHVBK 20180406164757.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s10778-007-0023-9 doi (NATIONALLICENCE)springer-10.1007/s10778-007-0023-9 Short-term microdamage of a physically nonlinear fibrous material under simultaneous normal and tangential loads [Elektronische Daten] [L. Khoroshun, E. Shikula] The structural theory of short-term damage is generalized to the case where the undamaged isotropic matrix of a fibrous composite with transversely isotropic reinforcement deforms nonlinearly under loads that induce a combined stress state, microdamages occurring in the matrix alone. The basis for this generalization is the stochastic elasticity equations for a fibrous composite with porous matrix whose skeleton deforms nonlinearly. The Huber-Mises failure criterion is used to describe the damage of microvolumes in the matrix. The damaged microvolume balance equation is derived for the physically nonlinear material of the matrix based on the properties of the distribution function for the statistically homogeneous random field of ultimate microstrength. Together with the macrostress-macrostrain relationship, they constitute a closed-form system of equations. 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. Stress-strain curves for a composite with a linearly hardened matrix under simultaneous normal and tangential loads are plotted. The effect of the volume fraction of reinforcement and tangential load on the curves is examined Springer Science+Business Media, Inc., 2007 fibrous composite nationallicence microdamage of matrix nationallicence physically nonlinear matrix nationallicence coupled processes of physically nonlinear deformation and microdamage nationallicence combined stress state nationallicence combined effect of normal and tangent loads nationallicence Khoroshun L. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut Shikula E. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut International Applied Mechanics Springer US 43/3(2007-03-01), 282-290 1063-7095 43:3<282 2007 43 10778 https://doi.org/10.1007/s10778-007-0023-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10778-007-0023-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Khoroshun L. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut NATIONALLICENCE 700 1- Shikula E. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut NATIONALLICENCE 773 0- International Applied Mechanics Springer US 43/3(2007-03-01), 282-290 1063-7095 43:3<282 2007 43 10778 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 462002578 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer