- PII
- S2686740025030094-1
- DOI
- 10.31857/S2686740025030094
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 522 / Issue number 1
- Pages
- 58-64
- Abstract
- Deformation properties of structural materials, rocks, composite materials, etc. depend on the type of external action, and the degree of this dependence is determined by the structural features of the materials. These materials are characterized by a relationship between volume and shear deformation. Deformation curves are nonlinear even at small deformations. This paper presents constitutive relations describing the nonlinear behavior of these materials under small deformations. It is shown that classical hypotheses of anti-plane shear cannot be applied. The problem of anti-plane shear of a long prismatic body with a square cross-section containing a round through hole in the plane of the cross-section is solved numerically. It is shown that under shear loading conditions, the body is characterized by a triaxial stress state and a change in volume.
- Keywords
- неоднородные материалы определяющие соотношения продольный сдвиг трехосность напряжений соотношение Рамберга–Остуда
- Date of publication
- 04.12.2024
- Year of publication
- 2024
- Number of purchasers
- 0
- Views
- 13
References
- 1. Lomakin E.V., Fedulov B.N. Nonlinear anisotropic elasticity for laminate composites // Meccanica. 2015. V. 50. P. 1527–1535. https://doi.org/10.1007/s11012-015-0104-5
- 2. Fedulov B.N., Bondarchuk D.A., Lomakin E.V. Longitudinal elastic nonlinearity of composite material // Frattura ed Integrità Strutturale. 2024. V. 18. № 67. P. 311–318. https://doi.org/10.3221/JGF-ESIS.67.22
- 3. Obid S., Halliovic M., Ureve J., Starman B. Non-linear elastic tension–compression asymmetric anisotropic model for fibre-reinforced composite materials // Intern. J. Engineering Science. 2023. V. 185. 103829. https://doi.org/10.1016/j.jtengsci.2023.103829
- 4. Smith E.W., Pascoe K.J. The role of shear deformation in the fatigue failure of a glass fibre-reinforced composite // Composites. 1977. V. 8. Iss. 4. P. 237–243. https://doi.org/10.1016/0010-4361 (77)90109-4
- 5. ASTM Standards: ASTM D3039/D3039M-14: Standard Test Method for Tensile Properties of Polymer Matrix Composite Materials // ASTM International. 2014. https://doi.org/10.1520/D3039_D3039M-14
- 6. Standard Test Method for Compressive Properties of Polymer Matrix Composite Materials Using a Combined Loading Compression (CLC) Test Fixture // ASTM International. 2016. ASTM D6641/D6641M-16e2. https://doi.org/10.1520/D6641_D6641M-16E01
- 7. Standard Test Method for Young’s Modulus, Tangent Modulus, and Chord Modulus // ASTM International. 2017. ASTM E111-17. https://doi.org/10.1520/E0111-17
- 8. Walsh J.B. The effect of cracks on the compressibility of rocks // J. Geophys. Res. 1965. V. 70. Iss. 2. P. 381–389. https://doi.org/10.1029/JZ070i002p00381
- 9. Walsh J.B. The effect of cracks in rocks on the uniaxial elastic compression of rocks // J. Geophys. Res. 1965. V. 70. Iss. 2. P. 399–411. https://doi.org/10.1029/JZ070i002p00399
- 10. Sun J.-Y., Zhu H.-Q., Qin S.-H., Yang D.-L., He X.-T. A review on the research of mechanical problems with different moduli in tension and compression // J. Mech. Sci. Technol. 2010. V. 24. P. 1845–1854. https://doi.org/10.1007/s12206-010-0601-3
- 11. Rabotnov Y.N. Creep Problems in Structural Members. Amsterdam: North-Holland, 1969. 822 p. https://doi.org/10.1115/1.3408479
- 12. Lomakin E.V. Mechanics of media with stress-state dependent properties // Physical Mesomechanics. 2007. V. 10. Iss. 5–6. P. 255–264. https://doi.org/10.1016/j.physme.2007.11.004
- 13. Lomakin E., Korolkova O. Stress and strain fields near cracks in solids with stress state-dependent elastic properties under conditions of anti-plane shear // Acta Mechanica 2024. V. 235. P. 6585–6597. https://doi.org/10.1007/s00707-024-04034-6
- 14. Ramberg W., Osgood W.R. Description of stress-strain curves by three parameters: Technical Report NACA-TN-902. 1943.
