Thermal buckling analysis of concrete rectangular thin plates considering material damage

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.

Automated summary

This paper investigates the thermal buckling behavior of damaged rectangular thin plates using the continuum damage mechanics approach. The stability equilibrium equations of damaged rectangular plates under thermal loads are derived based on classical plate theory. Analytical solutions for the temperature variation function and the effects of geometry size on the buckling temperature are obtained using a concrete rectangular plate with damage on four edges simply supported under pressure as an example. The numerical results show that considering material damage in thermal buckling analysis is more in line with engineering practice and improves design requirements of reliability. The correctness of the numerical results is verified through a comparison with the existing results.