Published since 1923
DOI: 10.33622/0869-7019
Russian Science Citation Index (RSCI) на платформе Web of Science


  • STRUCTURAL MECHANICS
  • Compression Of Rods Of Various Flexibility With Initial Curvature, Acquiring Induced Anisotropy
  • UDC 539.32:624.046
    doi: 10.33622/0869-7019.2026.03.04-12
    Sergey Yu. KALASHNIKOV, kalashnikovsu@mail.ru
    Saint Petersburg State University of Architecture and Civil Engineering, 2-ya Krasnoarmeyskaya ul., 4, St. Petersburg 190005, Russian Federation
    Abstract. Rectilinear steel rods of varying lengths loaded with a centrally applied compressive force are considered. Manufacturing process features cause the rods to have an initial curvature, causing them to act as compressed-curved rods. A non-uniform stress state arises in the cross-sections, leading to strain constraint. The problem is formulated using a second-order differential equation for the rod's curved axis. The author's incremental theory of nonlinear deformation of solids is applied to this equation. In regions with non-uniform stress distribution, induced anisotropy of properties is created, with variable elastic characteristics of the material, not only in the cross-sections but also along the length of the rod. The equation is solved numerically using the variable elasticity method. The rod is loaded with a stepwise increasing force. The desired deflections are calculated accordingly and compared with the standard values. Three typical curvature cases for three different lengths are considered. Regardless of the magnitude of the initial process imperfection, a significant increase in force corresponding to the disproportionate increase in deflections is observed. A significant dependence of the degree of gradient effects on rod flexibility is also established.
    Keywords: induced anisotropy, compressed-bent rod, flexibility, stress gradient, incremental relationships, process curvature
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  • For citation: Kalashnikov S. Yu. Compression of Rods of Various Flexibility With Initial Curvature, Acquiring Induced Anisotropy. Promyshlennoe i grazhdanskoe stroitel'stvo [Industrial and Civil Engineering], 2026, no. 3, pp. 4-12. (In Russ.). doi: 10.33622/0869-7019.2026.03.04-12

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