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Finite element analysis on the structural behaviour of square CFST beams
M.F. Javed 1 , N.H. Ramli 1 , S. Kashif-ur-Rehman 1 and N.B. Khan 1
Published under licence by IOP Publishing Ltd IOP Conference Series: Materials Science and Engineering , Volume 210 , International Technical Postgraduate Conference 5–6 April 2017, University of Malaya, Kuala Lumpur, Malaysia Citation M.F. Javed et al 2017 IOP Conf. Ser.: Mater. Sci. Eng. 210 012018 DOI 10.1088/1757-899X/210/1/012018
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This paper presents the finite element (FE) analysis and modelling of square concrete-filled steel tube (CFST) members subjected to a flexural load. A parametric study is conducted using the verified FE model to study the effect of the depth-to-thickness (D/t) ratio (18.75, 25, and 30), the compressive strength of infilled concrete (60, 80, and 100 MPa), and the yield strength of the steel tube (410, 500, and 600 MPa) on the flexural behaviour of the square CFST members. Decreasing the D/t ratio (from 30 to 18.75) can significantly increase the ultimate capacity of the square CFST members (up to 25%) while having a marginal effect on the initial stiffness of the CFST members. The ultimate bending capacity of the CFST members increases by up to 55% when the yield strength of the outer steel tube increases from 410 MPa to 600 MPa. However, the flexural capacity increases by only 12% when the compressive strength of the infilled concrete increases from 60 MPa to 100 MPa, hence showing a marginal effect. Results of the parametric studies are used to assess the current design models, and Han's model predicts the most accurate flexural capacity.
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Two-grid Method of Expanded Mixed Finite Element Approximations for Parabolic Integro-differential Optimal Control Problems
- Published: 01 June 2024
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- Yan-ping Chen 1 ,
- Jian-wei Zhou 2 &
- Tian-liang Hou 3
This paper aims to construct a two-grid scheme of fully discretized expanded mixed finite element methods for optimal control problems governed by parabolic integro-differential equations and discuss a priori error estimates. The state variables and co-state variables are discretized by the lowest order Raviart-Thomas mixed finite element, and the control variable is approximated by piecewise constant functions. The time derivative is discretized by the backward Euler method. Firstly, we define some new mixed elliptic projections and prove the corresponding error estimates which play an important role in subsequent convergence analysis. Secondly, we derive a priori error estimates for all variables. Thirdly, we present a two-grid scheme and analyze its convergence. In the two-grid scheme, the solution of the parabolic optimal control problem on a fine grid is reduced to the solution of the parabolic optimal control problem on a much coarser grid and the solution of a decoupled linear algebraic system on the fine grid and the resulting solution still maintains an asymptotically optimal accuracy. At last, a numerical example is presented to verify the theoretical results.
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School of Science, Nanjing University of Posts and Telecommunications, Nanjing, 210023, China
Yan-ping Chen
School of Mathematics and Statistics, Linyi University, Linyi, 276005, China
Jian-wei Zhou
School of Mathematics and Statistics, Beihua University, Jilin, 132013, China
Tian-liang Hou
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The project is supported by the State Key Program of National Natural Science Foundation of China (No. 11931003) and Natural Science Research Start-up Foundation of Recruiting Talents of Nanjing University of Posts and Telecommunications (No. NY223127).
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Chen, Yp., Zhou, Jw. & Hou, Tl. Two-grid Method of Expanded Mixed Finite Element Approximations for Parabolic Integro-differential Optimal Control Problems. Acta Math. Appl. Sin. Engl. Ser. (2024). https://doi.org/10.1007/s10255-024-1099-2
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Published : 01 June 2024
DOI : https://doi.org/10.1007/s10255-024-1099-2
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