Statistical Mechanics Material Model for the Constitutive Modelling of Elastomeric Compounds

1996 ◽  
Vol 210 (6) ◽  
pp. 575-585 ◽  
Author(s):  
J M Allport ◽  
A J Day
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Statistical Mechanics ◽  
Constitutive Modelling ◽  
Three Dimensions ◽  
Styrene Butadiene Rubber ◽  
Butadiene Rubber ◽  
Element Analysis ◽  
Material Modelling ◽  
Modelling Approach

Material models for the finite element analysis (FEA) of polymeric and elastomeric compounds are only available in limited form in most commercial finite element (FE) packages. The most common are the phenomenological Mooney-Rivlin and the Ogden models, for which the constants bear no relationship to the physical or chemical characteristics of the rubber and their derivation is difficult. Both models are limited in their accuracy for filled rubbers used in combined states of tensile and compressive deformation, and since these are common operational conditions for engineering components such as drive couplings, engine mounts and torsional vibration dampers, their use in engineering analyses is restricted. In this paper a statistical mechanics material modelling approach for synthetic, filled elastomeric compounds in FEA is presented. Using styrene-butadiene rubber (SBR) as an example, the theory and its application in the commercially available ABAQUS finite element analysis program is explained. FE models of tensile and compressive specimens in two and three dimensions are used to demonstrate the use of the model, and results are presented, discussed and compared with measured data. Good correlation in both tension and compression is demonstrated. A practical application of the model to the SBR blocks in a Holset torsional drive coupling is presented; this analysis involves complex issues of mesh design and contact modelling. The results show good agreement with measured performance, and clearly demonstrate how this type of material modelling approach can be effectively used in the computer aided engineering and design of engineering rubber components.

Evaluation of Crosslink Density Using Material Constants of Ethylene-Propylene-Diene Monomer/Styrene-Butadiene Rubber with Different Nanoclay Loading: Finite Element Analysis-Simulation and Experimental

2020 ◽  
Vol 12 (5) ◽  
pp. 632-642 ◽  
Author(s):  
S. Vishvanathperumal ◽  
V. Navaneethakrishnan ◽  
G. Anand ◽  
S. Gopalakannan
Keyword(s):  
Experimental Data ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Strain Energy ◽  
Tension Test ◽  
Styrene Butadiene Rubber ◽  
Butadiene Rubber ◽  
Element Analysis ◽  
Strain Behavior ◽  
Styrene Butadiene

Nanoclay is used to enhance the mechanical properties of ethylene-propylene-diene rubber (EPDM)/styrene-butadiene rubber (SBR) blends. Sulphur (S), dicumyl peroxide (P), and mixed systems (S + P) were used as crosslinking or vulcanizing agents for the EPDM/SBR nanocomposites. The experimental data of the stress–strain behavior of EPDM/SBR blends with different nanoclay loading have been determined through a tension test. Nonlinear mechanical behaviors of the rubbers are described by strain energy functions in order to assurance that rigid body motions play no role in the constitutive law. The mathematical model such as the Mooney-Rivlin model based on the existence of strain energy density functions depends on the right Cauchy-Green's deformation tensor or Green's strain tensor. The experimental data are fitted to the Mooney-Rivlin model in order to find the rubber material constants. These constants are used to find the crosslinking density. A comparison between the experimental stress–strain behavior and finite element analysis of a uniaxial tension test at different nanoclay loading is presented.

scholarly journals New electrical parameters extraction method based on simplified 3D model using finite element analysis

2019 ◽  
Vol 39 (2) ◽  
pp. 297-316
Author(s):  
Jorge Rafael González-Teodoro ◽  
Enrique González Romero-Cadaval ◽  
Rafael Asensi ◽  
Roberto Prieto ◽  
Vladimir Kindl
Keyword(s):  
Finite Element Method ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Fem Analysis ◽  
Parameter Extraction ◽  
Three Dimensions ◽  
Electrical Parameters ◽  
Element Analysis ◽  
Content Type ◽  
Cpu Time

Purpose The purpose of this paper is the presentation of an electrical equivalent circuit for inductive components as well as the methodology for electrical parameter extraction by using a 3 D finite element analysis (FEA) tool. Design/methodology/approach A parameter extraction based on energies has been modified for three dimensions. Some simplifications are needed in a real model to make the 3 D finite element method (FEM) analysis operative for design engineers. Material properties for the components are modified at the pre-modeling step and a corrector factor is used at the post-modeling step to achieve the desired accuracy. Findings The current hardware computational limitations do not allow the 3 D FEA for every magnetic component, and due to the component asymmetries, the 2 D analysis are not precise enough. The application of the new methodology for three dimensions to several actual components has shown its usefulness and accuracy. Details concerning model parameters extration are presented with simulation and measurement results at different operation frequencies from 1 kHz to 1 GHz being the range of switching frequencies used by power electronic converters based on Si, SiC or GaN semiconductors. Practical implications This new model includes the high-frequency effects (skin effect, proximity effect, interleaving and core gap) and other effects can be only analyzed in 3 D analysis for non-symmetric components. The electrical parameters like resistance and inductance (self and mutual ones) are frequency-dependent; thus, the model represents the frequency behavior of windings in detail. These parameters determine the efficiency for the inductive component and operation capabilities for the power converters (as in the voltage boost factor), which define their success on the market. Originality/value The user can develop 3 D finite element method (FEM)-based analyses with geometrical simplifications, reducing the CPU time and extracting electrical parameters. The corrector factor presented in this paper allows obtaining the electrical parameters when 3D FE simulation would have developed without any geometry simplications. The contribution permits that the simulations do not need a high computational resource, and the simulation times are reduced drastically. Also, the reduced CPU time needed per simulation gives a potential tool to optimize the non-symmetric components with 3 D FEM analysis.

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