Issue 24

M.P. Tretiakov et alii, Frattura ed Integrità Strutturale, 24 (2013) 96-101; DOI: 10.3221/IGF-ESIS.24.10 101 R EFERENCES [1] V.E. Vildeman, Yu.V. Sokolkin, А.А. Tashkinov, Mechanics of inelastic deformation and fracture of composite materials, (1997) 288. [2] V.E. Vildeman, Int. J. for Computational Civil and Structural Engineering, 4(2) (2008) 43. [3] V.E. Vildeman, Yu.V. Sokolkin, A.A. Tashkinov, Mechanics of Composite Materials, 28(3) (1992) 214. [4] Yu.V. Sokolkin, V.E. Vildeman, Mechanics of Composite Materials, 29(2) (1993) 120. [5] V.V. Struganov, Vestnik SSTU, Physics-mathematics science, 30 (2004) 5. [6] V.V. Struganov, Physical Mesomechanics, 7(S1-1) (2004) 169. [7] Yu.V. Sokolkin, V.E. Vildeman, A.V. Zaitsev, I.N. Rochev, Mechanics of Composite Materials, 34(2) (1998) 171. [8] A.V. Ilinykh, M.V. Radionova, V.E. Vildeman, Composites: Mechanics, Computations, Applications, 2(2) (2011) 95. [9] V.E. Wildemann, A.V. Ilyinykh, Physical Mesomechanics, 10(4) (2007) 23. [10] V.E. Wildemann, J. Appl. Maths Mechs, 62(2) (1998) 281. [11] S. Nohut, A. Usbeck, H. Özcoban, D. Krause, G.A. Schneider, Journal of the European Ceramic Society, 30 (2010) 3339. [12] A.A. Lebedev, B.I. Kovalchuk, F.F. Gignyak, V.P. Lamashevskii, Mechanical properties of structural materials under complex stress state, (2003) 540. [13] N.M. Zarroug, R. Padmanabhan, B.J. MacDonald, P. Young, M.S.J. Hashmi, J. of Materials Processing Technology, 143–144 (2003) 807. N OMENCLATURE Ω deformable body Ω 0 weak zone of deformable body Σ boundary of deformable body Σ S boundary part with force conditions σ ij stress tensor components ε ij strain tensor components u j displacement vector components R ij loading system stiffness tensor components S i 0 force vector components χ indicator of the process nature ' ijmn C components of tangent material modulus tensor ijmn D components of softening modulus tensor D softening modulus under tension G D softening modulus under shear R M coefficient of test machine stiffness under tension M N coefficient of test machine stiffness under torsion r radius-vector σ axial stress ε axial strain ε ln logarithmic axial strain τ shear stress γ shear angle E Young modulus G shear modulus 0 Q compliance of the softening region 0 L compliance of the softening region on torsion C Q compliance of bar (main volume) C L compliance of bar (main volume) on torsion M Q compliance of test machine M L compliance of test machine on torsion l current test part length ' l length of specimen weak zone l 0 initial test part length M torque F cross section square of specimen main zone ' F cross section square of specimen weak zone p J polar moment of inertia of main zone of thin- walled tubular specimen ' p J polar moment of inertia of weak zone of thin- walled tubular specimen h wall thickness of thin-walled tubular specimen φ torsion angle r middle radius of test part of thin-walled tubular specimen d test part diameter of solid cylindrical specimen