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Thermal buckling analysis of concrete rectangular thin plates considering material damage

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Abstract

Although the thermal buckling behavior of thin plates has received great attention, only a limited number of studies have reported the thermal buckling analysis of damaged rectangular plates. A long-term loading can induce material damage on such plates, resulting in the premature failure. The present work addresses the thermal buckling of thin rectangular plates with damage. The continuum damage mechanics approach is used to represent material damage, which is accordance with the stiffness reduction. Stability equilibrium equations of rectangular plates with damage under thermal loads are derived based on classical plate theory. Take a concrete rectangular plate with damage on four edges simply supported under pressure as an example, the analytical solutions of temperature variation function and the effects of geometry size on the buckling temperature are obtained. The numerical results indicate that considering material damage in thermal buckling analysis is more in line with engineering practice and improves the design requirements of reliability. The correctness of the present numerical results through a comparison of the present results and the existing results.

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Acknowledgements

This work presented in the paper is supported by China's Liaoning Province "Xing Liao Talents Plan" Youth Top-notch Talent Funding Project (No. XLYC2007146).

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Authors and Affiliations

  1. Department of Civil and Construction Engineering, National Taiwan University of Science and Technology, No. 43, Keelung Road, Sec.4, Taipei, 106, Taiwan

    Li-Cai Zhao & Shi-Shuenn Chen

  2. School of Civil Engineering, Tianjin University, Tianjin, 300072, China

    Li-Cai Zhao

  3. China Railway 19th Bureau Group Third Engineering Co., Ltd., Shenyang, 110136, China

    Li-Cai Zhao

  4. College of Mechanical Engineering, Yangzhou University, Yangzhou, 25127, China

    Jiaxing Cheng

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  1. Li-Cai Zhao
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  2. Shi-Shuenn Chen
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Correspondence to Li-Cai Zhao.

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Zhao, LC., Chen, SS. & Cheng, J. Thermal buckling analysis of concrete rectangular thin plates considering material damage. Arch Appl Mech 92, 3447–3454 (2022). https://doi.org/10.1007/s00419-022-02289-w

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