Implementation of Material Stiffness Coefficients in Finite Element Applications to Rubber

1994 ◽  
Vol 22 (4) ◽  
pp. 223-241 ◽  
Author(s):  
Y. Kim ◽  
A. F. Saleeb ◽  
T. Y. P. Chang
Keyword(s):  
Finite Element ◽  
Constitutive Models ◽  
The Finite Element Method ◽  
Stiffness Coefficients ◽  
Material Stiffness ◽  
Nonlinear Curve Fitting ◽  
Principal Value ◽  
General Strain ◽  
Fitting In ◽  
Nonlinear Curve

Abstract Two classes of constitutive models are widely used in the current literature to describe the general strain state of rubber under large deformations: the Invariant-based (Rivlin type) and the Principal-value based (Ogden type). However, their predictive capabilities, coupled with the finite element method, will greatly depend on the material coefficients determined from experimental stress-strain curves by nonlinear curve fitting. In addition, special care must be exercised in their numerical implementations, which is particularly true for the Ogden type models, when evaluating the material tangent stiffness coefficients. Several issues in connection with these are discussed and a number of simulations and test comparisons are presented.

A Viscohyperelastic Maxwell Model for Rubber Viscoelasticity

1992 ◽  
Vol 65 (1) ◽  
pp. 137-153 ◽  
Author(s):  
A. R. Johnson ◽  
C. J. Quigley
Keyword(s):  
Finite Element ◽  
Strain Relaxation ◽  
Constitutive Models ◽  
Constant Strain Rate ◽  
Maxwell Model ◽  
Large Strains ◽  
The Finite Element Method ◽  
Rate Test ◽  
Pull Tests ◽  
Step Strain

Abstract A new viscoelaslic model for rubber is presented. It is similar in a Maxwell internal solid model in which all the solids are hyperelastic. A key feature of this model is its ability to accurately predict step-strain relaxation test data for very large strains. A method to obtain the constitutive models for the solids is presented for the three legged version and is used with existing data in the literature to compute variable-rate uniaxial pull tests. The finite-element implementation of this theory is given. Computations are made for a uniaxial constant-strain-rate test using a nearly incompressible axisymmetric version of the finite-element method.

scholarly journals Predicting Nonlinear and Anisotropic Mechanics of Metal Rubber Using a Combination of Constitutive Modeling, Machine Learning, and Finite Element Analysis

Materials ◽  
2021 ◽  
Vol 14 (18) ◽  
pp. 5200
Author(s):  
Yalei Zhao ◽  
Hui Yan ◽  
Yiming Wang ◽  
Tianyi Jiang ◽  
Hongyuan Jiang
Keyword(s):  
Finite Element ◽  
Constitutive Modeling ◽  
Constitutive Models ◽  
Finite Element Method Simulation ◽  
Ann Model ◽  
The Finite Element Method ◽  
Functional Material ◽  
Element Analysis ◽  
Metal Rubber ◽  
Artificial Neural Network Ann

Metal rubber (MR) is an entangled fibrous functional material, and its mechanical properties are crucial for its applications; however, numerical constitutive models of MR for prediction and calculation are currently undeveloped. In this work, we provide a numerical constitutive model to express the mechanics of MR materials and develop an efficient finite elements method (FEM) to calculate the performance of MR components. We analyze the nonlinearity and anisotropy characteristics of MR during the deformation process. The elasticity matrix is adopted to express the nonlinearity and anisotropy of MR. An artificial neural network (ANN) model is built, trained, and tested to output the current elastic moduli for the elasticity matrix. Then, we combine the constitutive ANN model with the finite element method simulation to calculate the mechanics of the MR component. Finally, we perform a series of static and shock experiments and finite element simulations of an MR isolator. The results demonstrate the feasibility and accuracy of the numerical constitutive MR model. This work provides an efficient and convenient method for the design and analysis of MR components.

Nonlinear Curve-Fitting in the L 1 and L ∞ Norms

1980 ◽  
Vol 34 (150) ◽  
pp. 529 ◽  
Author(s):  
Richard I. Shrager ◽  
Edward Hill
Keyword(s):  
Curve Fitting ◽  
Nonlinear Curve Fitting ◽  
Fitting In ◽  
Nonlinear Curve

Simulation of tuning graphene plasmonic behaviors by ferroelectric domains for self-driven infrared photodetector applications

Nanoscale ◽  
2019 ◽  
Vol 11 (43) ◽  
pp. 20868-20875 ◽  
Author(s):  
Junxiong Guo ◽  
Yu Liu ◽  
Yuan Lin ◽  
Yu Tian ◽  
Jinxing Zhang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Interfacial Effect ◽  
Infrared Photodetector ◽  
The Finite Element Method ◽  
Ferroelectric Domains ◽  
Element Method

We propose a graphene plasmonic infrared photodetector tuned by ferroelectric domains and investigate the interfacial effect using the finite element method.

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