Volume 43 Issue 1
Jan.  2022
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LI Jiayu, CHEN Mengcheng, WANG Kaixin. Nonlinear Numerical Simulation of Finite Elements Based on Fiber Beam Elements With Shear Effects for Structures[J]. Applied Mathematics and Mechanics, 2022, 43(1): 34-48. doi: 10.21656/1000-0887.420032
Citation: LI Jiayu, CHEN Mengcheng, WANG Kaixin. Nonlinear Numerical Simulation of Finite Elements Based on Fiber Beam Elements With Shear Effects for Structures[J]. Applied Mathematics and Mechanics, 2022, 43(1): 34-48. doi: 10.21656/1000-0887.420032

Nonlinear Numerical Simulation of Finite Elements Based on Fiber Beam Elements With Shear Effects for Structures

doi: 10.21656/1000-0887.420032
  • Received Date: 2021-01-28
  • Rev Recd Date: 2021-05-05
  • Publish Date: 2022-01-01
  • The classical fiber beam model based on the Euler-Bernoulli beam theory ignores the influence of shear deformation on the section. To get a more accurate beam element model, based on the fiber beam element with shear effects and the Timoshenko beam theory, the stiffness matrix of the fiber beam element was deduced, and the dual effects of geometric nonlinearity and material nonlinearity were considered at the same time, combined with the elastoplastic incremental theory. Then, the nonlinear finite element analysis theory for the structure under the complex stress state of compression, bending and shear was established. Finally, a program was coded on MATLAB to conduct finite element numerical simulation of the typical compression-bending-shear members of reinforced concrete and rectangular concrete-filled steel tube, and the nonlinear full-process load-displacement curves were obtained. The analysis of the numerical examples show that, the established nonlinear finite element analysis theory is universal, feasible and correct.

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