Nonlocal strain gradient model for thermal buckling analysis of functionally graded nanobeams

In this work, a nonlocal strain gradient model for the buckling analysis of functionally graded Euler-Bernoulli beam subjected to thermo-mechanical loads is developed. The governing equations are derived by incorporating the effects of nonlocal and strain gradient parameters. Thermal properties over the cross section are graded using the power law. The resulting sixth-order differential equation is solved analytically for various boundary conditions. The effect of strain gradient and nonlocal parameters on the variation of critical buckling temperature under three different boundary conditions and three different thermal loading conditions is studied. The proposed model compares well with the existing literature in the limiting sense of no nonlocal and gradient effects.

Automated summary

A nonlocal strain gradient model is developed for the buckling analysis of functionally graded Euler-Bernoulli beam subjected to thermo-mechanical loads. The governing equations incorporate the effects of nonlocal and strain gradient parameters. Thermal properties over the cross section are graded using the power law. The proposed model compares well with the existing literature in the limiting sense of no nonlocal and gradient effects.