A nonlinear constitutive model by spring, fractional derivative and modified bounding surface model to represent the amplitude, frequency and the magnetic dependency for Magneto-sensitive rubber

2019 ◽  
Vol 438 ◽  
pp. 344-352 ◽  
Author(s):  
Bochao Wang ◽  
Leif Kari
Keyword(s):  
Constitutive Model ◽  
Fractional Derivative ◽  
Surface Model ◽  
Bounding Surface ◽  
Nonlinear Constitutive Model

Explicit Integration Algorithm of the Bounding Surface Model Based on Swell–Shrink Rules for Cyclic Behaviors of Clay

2019 ◽  
Vol 17 (09) ◽  
pp. 1950074 ◽  
Author(s):  
Jian Li ◽  
Shanxiong Chen ◽  
Lingfa Jiang ◽  
Zhangjun Dai
Keyword(s):  
Constitutive Model ◽  
Error Control ◽  
Surface Model ◽  
Bounding Surface ◽  
Explicit Integration ◽  
Integration Algorithm ◽  
Explicit Algorithm ◽  
Model Based ◽  
Explicit Integration Algorithm ◽  
Second Procedure

Integration algorithm is a key to ensure the better application of the dynamic constitutive model. As for the bounding surface model based on swell–shrink rules in this paper, an explicit integration algorithm based on sub-stepping and error control scheme has be described in detail. For being adaptable to the constitutive model, several modifications have been made. The modified explicit algorithm includes two procedures: the first procedure is the second-order forward modified Euler scheme with sub-stepping and error control; the second procedure is the stress correction. However, due to the shrink rule of the bounding surface, the second procedure is not needed at the unloading phase. Finally, several numerical simulations have been conducted for assessing the performance of the explicit algorithm, which demonstrates that the corresponding algorithm is stable and accurate, and can simulate the mechanical characteristics of the clay pretty well.

scholarly journals A nonlinear strain-rate dependent constitutive model for uncured rubber materials under large deformation

2020 ◽  
Vol 37 ◽  
pp. 118-125
Author(s):  
Weihua Zhou ◽  
Changqing Fang ◽  
Huifeng Tan ◽  
Huiyu Sun
Keyword(s):  
Constitutive Model ◽  
Large Deformation ◽  
Mechanical Response ◽  
Uniaxial Tensile ◽  
Hysteresis Phenomenon ◽  
Mechanical Behaviors ◽  
Nonlinear Constitutive Model ◽  
Rate Dependent ◽  
Parallel Networks ◽  
Non Gaussian

Abstract Uncured rubber possesses remarkable hyperelastic and viscoelastic properties while it undergoes large deformation; therefore, it has wide application prospects and attracts great research interests from academia and industry. In this paper, a nonlinear constitutive model with two parallel networks is developed to describe the mechanical response of uncured rubber. The constitutive model is incorporated with the Eying model to describe the hysteresis phenomenon and viscous flow criterion, and the hyperelastic properties under large deformation are captured by a non-Gaussian chain molecular network model. Based on the model, the mechanical behaviors of hyperelasticity, viscoelasticity and hysteresis under different strain rates are investigated. Furthermore, the constitutive model is employed to estimate uniaxial tensile, cyclic loading–unloading and multistep tensile relaxation mechanical behaviors of uncured rubber, and the prediction results show good agreement with the test data. The nonlinear mechanical constitutive model provides an efficient method for predicting the mechanical response of uncured rubber materials.

A new nonlinear constitutive model of CSG

2021 ◽  
pp. 1-8
Author(s):  
Xinjun Feng ◽  
Fangfang Zhang ◽  
Lixia Guo ◽  
Ling Zhong
Keyword(s):  
Constitutive Model ◽  
Nonlinear Constitutive Model
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