Abstract
A three-dimensional nonlinear constitutive model of the amplitude, frequency, magnetic and temperature dependent mechanical property of isotropic magneto-sensitive (MS) rubber is developed. The main components of MS rubber are an elastomer matrix and magnetizable particles. When a magnetic field is applied, the modulus of MS rubber increases, which is known as the magnetic dependence of MS rubber. In addition to the magnetic dependence, there are frequency, amplitude and temperature dependencies of the dynamic modulus of MS rubber. A continuum mechanical framework-based constitutive model consisting of a fractional standard linear solid (SLS) element, an elastoplastic element and a magnetic stress term of MS rubber is developed to depict the mechanical behavior of MS rubber. The novelty is that the amplitude, frequency, magnetic and temperature dependent mechancial properties of MS rubber are integrated into a whole constitutive model under the continuum mechanics frame. Comparison between the simulation and measurement results shows that the fitting effect of the developed model is very good. Therefore, the constitutive model proposed enables the prediction of the mechanical properties of MS rubber under various operating conditions with a high accuracy, which will drive MS rubber’s application in engineering problems, especially in the area of MS rubber-based anti-vibration devices.
Highlights
Magneto-sensitive (MS) rubber is a kind of smart material whose main components are an elastomer matrix and magnetizable particles
While the strain in the measurement of the mechanical performance of MS rubber which is related to the material parameter identication in the constitutive model in this paper is not large, a continuum approach is used to describe the motion of MS rubber in order that the work in this paper is consistent with the theory framework by Dorfmann and Ogden [33,34] where the quantities in the current and reference configurations are strictly distinguished
A constitutive model based on continuum mechanics with the Helmholtz free energy assumption and magnetic theory is developed
Summary
Magneto-sensitive (MS) rubber is a kind of smart material whose main components are an elastomer matrix and magnetizable particles. The test results revealed that the effective frequency bandwidth of the MS rubber damper to reduce the noise and vibration can be broadened by changing the magnetic field applied. Research results found that by utilizing a fractional standard linear solid (SLS) model combined with the WLF function, the temperature dependent viscoelasticity of rubber can be depicted more accurately with fewer parameters [48,49,50,51,52]. A fractional SLS model with the WLF function is introduced to predict the temperature-dependent viscoelastic behavior of MS rubber in this paper. The model developed in this paper will enhance the understanding and predicting of the mechanical behavior of MS rubber It will boost the application and design of MS rubber-based devices used in the sound and vibration area.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
