A Micro-Structure Dependent Buckling Analysis of Partially-Cracked Generally Orthotropic Plate under Thermal Domain

. In this work, a non-classical analytical approach for buckling analysis of partially cracked generally orthotropic plate is proposed under the thermal domain. The derivation for the governing equation is based on the non-classical approach using Kirchhoff’s thin plate theory and the modiﬁed couple stress theory. The effect of ﬁbre orientation on critical buckling temperature is incorporated by considering the coefﬁcients of mutual inﬂuence. Line spring model is applied with some modiﬁca-tions to formulate all the crack terms while the thermal effects are introduced in form of thermal in-plane moments and forces. The ﬁnal governing equation is solved using Galerkin’s method and the relation for critical buckling temperature as affected by ﬁbre orientation is obtained. The variation of critical buckling temperature as affected by ﬁbre orientation for different values of crack length, crack location and length scale parameter is presented. Also, the effect of ﬁbre orientation on fundamental frequency under the thermal domain is analysed.