Journal ArticleDOI
More hyperelastic models for rubber-like materials: consistent tangent operators and comparative study
Mokarram Hossain,Paul Steinmann +1 more
TLDR
In this paper, the authors present a review of the most important models for the Treloar data and compare the analytical expressions for the three homogeneous defomation modes, i.e., uniaxial tension, equibiaxial and pure shear.Abstract:
Abstract Rubber-like materials can deform largely and nonlinearly upon loading, and they return to the initial configuration when the load is removed. Such rubber elasticity is achieved due to very flexible long-chain molecules and a three-dimensional network structure that is formed via cross-linking or entanglements between molecules. Over the years, to model the mechanical behavior of such randomly oriented microstructures, several phenomenological and micromechanically motivated network models for nearly incompressible hyperelastic polymeric materials have been proposed in the literature. To implement these models for polymeric material (undoubtedly with widespread engineering applications) in the finite element framework for solving a boundary value problem, one would require two important ingredients, i.e., the stress tensor and the consistent fourth-order tangent operator, where the latter is the result of linearization of the former. In our previous work, 14 such material models are reviewed by deriving the accurate stress tensors and tangent operators from a group of phenomenological and micromechanical models at large deformations. The current contribution will supplement some further important models that were not included in the previous work. For comparison of all selected models in reproducing the well-known Treloar data, the analytical expressions for the three homogeneous defomation modes, i.e., uniaxial tension, equibiaxial tension, and pure shear, have been derived and the performances of the models are analyzed.read more
Citations
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Journal ArticleDOI
Approximation of the inverse Langevin function revisited
TL;DR: The main purpose of this paper is to provide an easy-to-use approximation formula for the inverse Langevin function by using multipoint Padé approximation method and shows how to compute higher order derivatives of the inverse function in a simple and elegant way.
Journal ArticleDOI
A comprehensive characterization of the electro-mechanically coupled properties of VHB 4910 polymer
TL;DR: In this article, an illustrative documentation of some standard experimental tests of electro-active VHB 4910 polymer under application of purely mechanical and electro-mechanically coupled loadings is presented.
Journal ArticleDOI
On thermo-viscoelastic experimental characterization and numerical modelling of VHB polymer
Zisheng Liao,Zisheng Liao,Mokarram Hossain,Xiaohu Yao,Markus Mehnert,Paul Steinmann,Paul Steinmann +6 more
TL;DR: In this article, a finite strain thermo-viscoelastic constitutive model was proposed for the very high bond (VHB) tape, which is an extension of a phenomenologically-motivated model where a nonlinear evolution law is devised based on the classical concept of the multiplicative decomposition of the deformation gradient.
Journal ArticleDOI
Flexible membrane structures for wave energy harvesting: A review of the developments, materials and computational modelling approaches
TL;DR: The device numerical models have altered existing procedures to take into account the non-linearities caused by the membrane interface and membrane PTO damping, providing the reader with a comprehensive overview of the current state of the technology.
Journal ArticleDOI
On the Performance of Isotropic Hyperelastic Constitutive Models for Rubber-Like Materials: A State of the Art Review
TL;DR: In this paper, a hybrid multi-objective optimization procedure using a genetic algorithm was used to generate multiple initial points for gradient-based search algorithm, Fmincon utility in matlab.
References
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Book
The physics of rubber elasticity
TL;DR: In this paper, the Elasticity of Long-Chain Molecules (LCHs) and Elasticity in a Molecular Network (MNNs) is investigated. But the authors focus on the elasticity of the long chain Molecules.
Book
Non-Linear Elastic Deformations
TL;DR: In this paper, the influence of non-linear elastic systems on a simple geometric model for elastic deformations is discussed, and the authors propose a planar and spatial euler introduction to nonlinear analysis.
Journal ArticleDOI
A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials
Ellen M. Arruda,Mary C. Boyce +1 more
TL;DR: In this article, an eight-chain representation of the underlying macromolecular network structure of the rubber and the non-Gaussian behavior of the individual chains in the proposed network is proposed.
Book
Nonlinear Finite Element Methods
TL;DR: In this article, the Finite Element Method for Continuum Mechanics has been used for solving nonlinear problems in the field of metamodel physics, including contact problems and time dependent problems.