Constitutive Model of Isotropic Magneto-Sensitive Rubber with Amplitude, Frequency, Magnetic and Temperature Dependence under a Continuum Mechanics Basis

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.

Magneto-Mechanical Enhancement of Elastic Moduli in Magnetoactive Elastomers with Anisotropic Microstructures

“…where J is the volume ratio between current and reference configurations [57]. For incompressible materials, J = 1 [58].…”

The Modeling of Magnetorheological Elastomers: A State‐of‐the‐Art Review

“…[250] Based on experimental studies, it has been demonstrated that the temperature effect on elastomers is most significant at temperatures close to the transition phase. [229] Ju et al [304] investigated both isotropic and anisotropic MREs fabricated with polyurethane (PU) as the matrix and CI particles under temperature variations ranging from 20 to 90 °C. The results indicated that an increasing temperature under the application of an external magnetic field has resulted in a pronounced MR effect for isotropic MREs than anisotropic ones.…”

A General Temperature-Dependent Stress–Strain Constitutive Model for Polymer-Bonded Composite Materials

“…To further verify the generality of the proposed model, third-party testing data on PBX 9502 from [28] It should be noted that the results of model parameters in Equations ( 7) and ( 11) cannot be directly used for prediction purposes as those parameters are material specific. The reported data on PBX 9502 are used to fit the developed model using Equation (2) for tension and compression data at each of the temperatures, and the temperature dependence for both modes are obtained using Equation (3). The same least squares fitting scheme is used.…”

“…By compounding different filler materials with polymer, new functional materials can be made, providing a viable technology for on-demand material design and engineering [ 1 ]. Applications of PBMs include, but are not limited to, polymer-bonded magnetics [ 2 , 3 ], energetics [ 4 , 5 ], aluminum [ 6 ], fiber [ 7 , 8 ], and many others [ 9 , 10 , 11 ]. To utilize those functional materials in critical applications, understanding their mechanical properties and deformation behaviors under different loading and temperature conditions is of great importance in meeting the basic design criteria.…”