Dynamic visco-hyperelastic behavior of elastomeric hollow cylinder by developing a constitutive equation

Asgari, Masoud; Hashemi, Sanaz S.

doi:10.12989/sem.2016.59.4.601

Cited by 2 publications

(2 citation statements)

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“…Therefore, calculations based on nonlinear elasticity theory are considered. Various mathematical simulations and theories have been presented regarding the analysis of nonlinear elastic or hyperelastic structures [ 2 , 9 , 10 , 11 , 12 ]. A new method has been presented previously for analyzing the mechanical behavior of nonlinear elastic structures [ 26 ].…”

Section: Nonlinear Elastic Materials and Governing Equationsmentioning

confidence: 99%

“…Almasi et al [ 9 ] studied the thermomechanical analysis of a hyperelastic thick cylindrical pressure vessel by giving analytical and numerical solutions. Asgari and Hashemi [ 10 ] developed an efficient visco-hyperelastic constitutive model for a hollow cylinder elastomer under dynamic and impact loadings. Pascon [ 11 , 12 ] implemented a finite element formulation based on a two-dimensional beam element to investigate various viscoelastic functionally graded materials and beams made of functionally graded hyperelastic material.…”

Section: Introductionmentioning

confidence: 99%

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Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures

2022

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In this paper, an annular/circular plate made of hyperelastic material and considering the viscoelastic property was investigated based on a novel nonlinear elasticity theory. A new approach for hyperelastic materials in conjunction with the Kelvin–Voigt scheme is employed to obtain the structure’s large deformation under uniform transverse loading. The constitutive equations were extracted using the energy method. The derived partial differential time-dependent equations have been solved via the semi-analytical polynomial method (SAPM). The obtained results have been validated by ABAQUS software and the available paper. In consequence, a good agreement between the results was observed. Finally, several affecting parameters on the analysis have been attended to and studied, such as the nonlinear elasticity analysis, the boundary conditions, loading, and the material’s viscosity. It can be possible to obtain the needed time for achieving the final deformation of the structure based on the applied analysis in this research.

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