Thermal‐induced Buckling analysis of microbeams with intermediate support under thermal load based on modified couple stress theory.

This study investigates the buckling of microbeams with variable cross‐sections and middle supports in a thermal environment. Based on classical theories and modified couple stress, the size‐dependent behavior of the microbeam is modeled, and the intermediate support is simulated elastically. A temperature‐dependent relationship will also be assumed for the material properties of the microbeam. The governing equations will be derived using Hamilton's principle based on the modified Couple stress theory and the nonlinear thermal field. Using an analytical approach, buckling loads and deformation of microbeams will be determined. The accuracy of the answers will be investigated to demonstrate the effectiveness of the method used and the correctness of the results obtained. A comparison will be made between the obtained results and the results available in the scientific literature to prove the accuracy of the formulation and the method used. A parametric study will then be conducted to determine the effect of boundary conditions, the flexibility of the middle support, temperature distribution, and geometric characteristics on the buckling loads of microbeams. [ABSTRACT FROM AUTHOR]