Abstract
AbstractIn this work, mathematical models of physically nonlinear plates and beams made from multimodulus materials are constructed. Our considerations are based on the 3D deformation theory of plasticity, the von Mises plasticity criterion and the method of variable parameters of the theory of elasticity developed by Birger. The proposed theory and computational algorithm enable for solving problems of three types of boundary conditions, edge conditions and arbitrary lateral load distribution. The problem is solved by the finite element method (FEM), and its convergence and the reliability of the results are investigated. Based on numerical experiments, the influence of multimodulus characteristics of the material of the beam and the plate on their stress–strain states under the action of transverse loads is illustrated and discussed.
Funder
Russian Foundation for Basic Research
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Computational Mechanics
Reference71 articles.
1. Jones, R.M.: Apparent flexural modulus and strength of multimodulus materials. J. Comp. Mater. 10, 342–354 (1976). https://doi.org/10.1177/002199837601000407
2. Haimson, B.C., Tharp, T.M.: Stresses around boreholes in bilinear elastic rock. Soc. Petro. Eng. 14(2), 145–151 (1974). https://doi.org/10.2118/4241-PA
3. Bertoldi, K., Bigoni, D., Drugan, W.J.: Nacre: an orthotropic and bimodular elastic material. Comp. Sci. Technol. 68, 1363–1375 (2008). https://doi.org/10.1016/j.compscitech.2007.11.016
4. Barak, M.M., Currey, J.D., Weiner, S., Shahar, R.: Are tensile and compressive Young’s moduli of compact bone different? J. Mech. Beh. Biomed. Mater. 2(1), 51–60 (2009). https://doi.org/10.1016/j.jmbbm.2008.03.004
5. Guo, Z.H., Zhang, X.Q.: Investigation of complete stress-deformation curves for concretes in tension. ACI Mater. J. 84(4), 278–285 (1987)
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献