Numerical Simulation for Fibre Reinforced Rubber

Ishikawa, Satoshi; Tokuda, Akihiko; Kotera, Hidetoshi

doi:10.1299/kikaia.74.543

Cited by 3 publications

(4 citation statements)

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“…e belt has anisotropic characteristics. Ishikawa et al carried out a series of experiments and simulation studies [13].…”

Section: Determination Of the Strain Energy Function And Correspondinmentioning

confidence: 99%

“…Stiffness. It can be seen from equation (13) that the invariants are all related to the curvature of the fiber. To simplify the formula, it is assumed that the deformation of the fiber is linear elastic, ignoring the term of the quadratic term and above, so that the strain energy contributing to the bending stiffness is only considered.…”

Section: Determination Of Strain Energy and Parameters Contributed Bymentioning

confidence: 99%

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An Anisotropic Hyperelastic Constitutive Model with Bending Stiffness Interaction for Cord-Rubber Composites: Comparison of Simulation Results with Experimental Data

Sun

Chen

2020

Mathematical Problems in Engineering

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Based on the invariant theory of continuum mechanics by Spencer, the strain energy depends on deformation, fiber direction, and the gradients of the fiber direction in the deformed configuration. The resulting extended theory is very complicated and brings a nonsymmetric stress and couple stress. By introducing the gradient of fiber vector in the current configuration, the strain energy function can be decomposed into volumetric, isochoric, anisotropic, and bending deformation energy. Due to the particularity of bending deformation, the reinforced material has tensile deformation and compression deformation. The bending stiffness should be taken into consideration, and it is further verified by the bending simulation.

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“…e belt has anisotropic characteristics. Ishikawa et al carried out a series of experiments and simulation studies [13].…”

Section: Determination Of the Strain Energy Function And Correspondinmentioning

confidence: 99%

Section: Determination Of Strain Energy and Parameters Contributed Bymentioning

confidence: 99%

An Anisotropic Hyperelastic Constitutive Model with Bending Stiffness Interaction for Cord-Rubber Composites: Comparison of Simulation Results with Experimental Data

Sun

Chen

2020

Mathematical Problems in Engineering

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“…The uniaxial tensile and compression stresses in the fiber and cross fiber directions were reported for a nylon fiber reinforced rubber compound used in an industrial v-belt [17],…”

Section: Constitutive Testsmentioning

confidence: 99%

“…This method focuses on determining the material constants from specific tests. Similar alternative methods have been used [17,32]. The following methods could be u.sed:…”

Section: Determining Model Coetücientsmentioning

confidence: 99%

A Simple Transversely Isotropic Hyperelastic Constitutive Model Suitable for Finite Element Analysis of Fiber Reinforced Elastomers

Brown

Smith

2011

Journal of Engineering Materials and Technology

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A transversely isotropic fiber reinforced elastomer's hyperelasticity is characterized using a series of constitutive tests (uniaxial tension, uniaxial compression, simple shear, and constrained compression test). A suitable transversely isotropic hyperelastic invariant based strain energy function is proposed and methods for determining the material coefficients are shown. This material model is implemented in a finite element analysis by creating a user subroutine for a commercial finite element code and then used to analyze the material tests. A useful set of constitutive material data for multiple modes of deformation is given. The proposed strain energy function fits the experimental data reasonably well over the strain region of interest. Finite element analysis of the material tests reveals further insight into the materials constitutive nature. The proposed strain energy function is suitable for finite element use by the practicing engineer for small to moderate strains. The necessary material coefficients can be determined from a few simple laboratory tests. [DOI: IO.IU5/1.40035\1]

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