||CMC: Computers, Materials & Continua, Vol. 44, No. 3, pp. 205-221, 2014
||Full length paper in PDF format. Size = 3,270,749 bytes
||film, substrate, buckling, large deformation, neo-Hookean
||The buckling of a thin film on a compressible compliant substrate in
large deformation is studied. A finite-deformation theory is developed to model
the film and the substrate under different original strain-free configurations. The
neo-Hookean constitutive relation is applied to describe the substrate. Through the
perturbation analysis, the analytical solution for this highly nonlinear system is obtained.
The buckling wave number, amplitude and critical condition are obtained.
Comparing with the traditional linear model, the buckling amplitude decreases. The
wave number increases and relates to the prestrain. With the increment of Poisson’s
ratio of the substrate, the buckling wave number increases, but the amplitude decreases.
The displacements near the interface are different in two models.