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International Journal of Basic Science and Technology

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Archive | ISSUE: , Volume: Oct-Dec-2023

Statistical Analysis of the Finitely Deformed Internally Pressurized Compressible Synthetic Rubber Like Material


Author:Egbuhuzor, U.P. and Eleje, C. B.

published date:2023-Jun-19

FULL TEXT in - | page 302 - 312

Abstract

The second-order nonlinear ordinary differential equations with shooting boundary conditions derived from the finite deformations of the internally pressurized spherical and cylindrical compressible rubber-like material and composed of Levinson and Burgess Strain energy function is presented. Though these equations as derived by our previous works were solved numerically using shooting and collocation methods in Mathematica software(ODE45 solver) for determination of the displacement distribution. Here, the statistical comparison of the two methods using a t-test shows no significant difference in the results for both the cylindrical and spherical deformations, which validates the results. However, from the analysis, the solution converged faster for the spherical deformation than that of the cylindrical deformation

Keywords: Spherical, Cylindrical, Mathematica, shooting, Collocation

References

Akhundov, V.M.(2014). Modeling large deformations of fibrous bodies of revolution based on applied and carcass theories 1. Butt-End torsion of cylindrical and toroidal bodies. Mechanics of Composite Materials: 50(2), 245-256.

Ali, A., Hosseini, M., and Sahari, B.B. (2010). A review and comparison on some rubber elasticity models, Journal of Scientific and Industrial Research: 69, 495-500.

Egbuhuzor U.P. and Erumaka E.N.(2020). Finite Deformation of Internally Pressurized Spherical Compressible Rubber-like Material. Asian Research Journal of Mathematics: 16(3), 38-49.

Egbuhuzor, U.P. and Udoh, N.A. (2020). Finite Deformations of Internally Pressurized Synthetic Compressible Cylidrical Rubber-like Material. Advances, 16(3): 36-43.

Horgan, C.O.(2015). The remarkable Gent constitutive model for hyperelastic materials. International Journal of Non-Linear Mechanics: 68, 9-16.

Horgan, C.O. and Murphy, J.G.(2009). Constitutive modeling for moderate deformations of slightly compressible rubber. Journal of Rheology: 53(1), 153-168.

Hoss, L., and Marczak, R.J.(2010). A new constitutive model for rubber-like materials. Mechanica computational: 29, 2759-2773.

FULL TEXT in - | page 302 - 312

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