Application of Runge-Kutta to Solving the Nonlinear Ordinary Differential Equation of a Deformed Cylindrical Compressible Blatz-Ko Material Under Torsional Effects.

Egbuhuzor Udechukwu Peter; Udoh Ndipmong Augustine

doi:10.56201/ijasmt.vol.11.no3.2025.pg71.83

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Application of Runge-Kutta to Solving the Nonlinear Ordinary Differential Equation of a Deformed Cylindrical Compressible Blatz-Ko Material Under Torsional Effects.

Egbuhuzor Udechukwu Peter, and Udoh Ndipmong Augustine

Abstract

This paper discussed the homogeneous, isotropic, compressible nonlinearly elastic cylindrical Blatz-Ko material deforming under pure torsion. The mathematical model of the radial deformation of the structure resulted into a highly nonlinear second-order ordinary differential equation with boundary conditions and the solution was obtained using Runge-Kutta fourth order method and implemented using MATLAB software. The results show that deformations decrease towards the origin and a decrease in volume is observed. The effects of stress and applied pressure on the material under study were compared and results showed that the stress increased as the radius of the material decreases.

Keywords

Blatz-KoMatlabRunge-KuttaStressDeformationHyperelasticMaterialmechanicsIsotropicand compressible

References

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Application of Runge-Kutta to Solving the Nonlinear Ordinary Differential Equation of a Deformed Cylindrical Compressible Blatz-Ko Material Under Torsional Effects.

Abstract

Keywords

References

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