Egbuhuzor, Udechukwu Peter2025-05-222025-05-222021-07Egbuhuzor, U. P. (2021). Finite deformation of internally pressured compressible synthetic rubber-like material (Unpublished Masters' Thesis). Federal University of Technology, Owerri, Nigeriahttps://repository.futo.edu.ng/handle/20.500.14562/1902This thesis is for the award of Doctor of Philosophy (PhD.) in MathematicsThe finite deformation of internally pressurized isotropic compressible synthetic rubber material governed by Levinson and Burgess strain energy function is analysed. The analysis led to a secondorder 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 two methods namely shooting method and collocation method on mathematica(ode45 solver). The simulation of the system is made for ρ = 14N/m2 , and the cylindrical symmetric deformation attained its maximum displacements and stresses at r(1) = 1.16638m and σrr = (−1.2973e − 05)kg/m/s2 while at ρ = 0.5N/m2 , the spherical symmetric deformation obtained its maximum displacements and stresses at r(1) = 0.01853m and σrr = (−0.00035)kg/m/s2 respectively. The results of the two schemes were statistically compared using t-test and results obtained showed, the two methods have no significant difference. Similarly, for the cylindrical deformation, the t-test showed that the two methods have no significant difference which validates the solutions.enAttribution-NonCommercial-ShareAlike 4.0 InternationalDeformationstressesdisplacementscollocationshooting method and rubber-likeDepartment of MathematicsDoctoral Thesis