Finite Deformation of Internally Pressurized Spherical Compressible Rubber-Like Material

The finite deformation of a compressible internally pressurized spherical synthetic ruber-like material governed by Levinson and Burgess strain energy function is analysed. The analysis led to a second order nonlinear ordinary differential equation for the determination of stresses and displacements. Analytic solution is found impossible for now, hence, the solution is sought numerically using shooting method on mathematica and collocation method. The result of the two schemes were statistically compared using t-test to determine which method is better. Results obtained from the t-test is 1.0692 for the calculated value is less than the table value
of 1.725 and since the p-value is greater than 0.05, this shows that the two methods has no significant difference. We conclude the two methods are similar.