Analytical models have been established to study the lateral buckling of interconnects under shear in a noncoplanar mesh design for stretchable electronics. Analytical expressions are obtained for the critical load and buckling shape at the onset of buckling by solving the equilibrium equations. The postbuckling behavior is studied by energy minimization of the potential energy, including up to fourth power of the displacement. A simple expression of the amplitude characterizing the deformation after buckling is obtained. These results agree well with the finite element simulations without any parameter fitting. The models in this paper may provide a route to study complex buckling modes of interconnects, such as diagonal compression/stretching involving both compression and shear.