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Nonlinear stress relaxation of filled rubber compounds: A new theoretical model and experimental investigation
Author(s) -
Ghoreishy Mir Hamid Reza,
AbbassiSourki Foroud
Publication year - 2021
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.49884
Subject(s) - viscoelasticity , materials science , natural rubber , composite material , nonlinear system , strain energy density function , subroutine , ultimate tensile strength , constitutive equation , deformation (meteorology) , stress (linguistics) , cauchy stress tensor , stress relaxation , cylinder , experimental data , mechanics , structural engineering , mathematics , creep , computer science , mathematical analysis , physics , geometry , engineering , linguistics , philosophy , quantum mechanics , finite element method , operating system , statistics
A new nonlinear hyper‐viscoelastic constitutive model was developed to describe the mechanical behavior of filled rubbers. It consists of a conventional strain energy density function like Arruda‐Boyce weighted by a four‐parameter decay relationship, designed as a function of time and the deviatoric part of the first invariant of the left Cauchy‐Green deformation tensor. It was implemented in Abaqus code as a user subroutine. A SBR/BR rubber compound filled with carbon black was selected as the test material. The material parameters were determined by calibrating the data from the uniaxial stress–strain tensile, volumetric, and stress relaxation tests using an optimization loop designed in Isight program. To validate the proposed model, a series of simulations were performed on two rubber strips and a rubber cylinder under extensive and compressive loads, respectively. Comparison with their corresponding experimental data confirmed the accuracy, and validity of the proposed model and approach.