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In this article, we revisited Ba\v{z}ant's comments on the implementation of hyperelastic material models in commercial finite element software. We would like to clarify that our assertions only apply if the material models are implemented…

Numerical Analysis · Mathematics 2019-09-09 Herbert Baaser , Robert J. Martin , Patrizio Neff

We introduce a strain-energy based nonlinear hyper-elastic formulation to model the material properties of ultrasoft dielectric elastomers over a wide range of elastic properties, prestretch, and thicknesses. We build on the uniaxial Gent…

Materials Science · Physics 2020-06-24 Asimanshu Das , Kenneth S. Breuer , Varghese Mathai

The superelastic constitutive model implemented in the commercial finite element code ABAQUS is verified using the method of exact solutions (MES). An analytical solution for uniaxial strain is first developed under a set of simplifying…

Computational Engineering, Finance, and Science · Computer Science 2023-05-31 Kenneth I. Aycock , Nuno Rebelo , Brent A. Craven

This paper presents results and convergence study of the Global--Local Iterative Coupling through the implementation in the commercial software Abaqus making use of the co-simulation engine. A hierarchical modeling and simulation approach…

Numerical Analysis · Mathematics 2024-04-25 Omar Bettinotti , Stéphane Guinard , Eric Véron , Pierre Gosselet

We analyze plane strain cold rolling processes, at large strains but slow strain rates, by finite element modeling. At low temperatures, slow strain rates, and moderate thickness reductions during rolling (at which Bauschinger effect can be…

Soft Condensed Matter · Physics 2022-06-30 Nikhil Padhye

The aim of this paper is to compare a hyperelastic with a hypoelastic model describing the Eulerian dynamics of solids in the context of non-linear elastoplastic deformations. Specifically, we consider the well-known hypoelastic Wilkins…

Fluid Dynamics · Physics 2019-05-01 Ilya Peshkov , Walter Boscheri , Raphaël Loubère , Evgeniy Romenski , Michael Dumbser

A large variety of materials, widely encountered both in engineering applications and in the biological realm, are characterised by a non-vanishing internal stress distribution, even in the absence of external deformations or applied…

Soft Condensed Matter · Physics 2024-03-15 Artur L. Gower , Tom Shearer , Pasquale Ciarletta , Michel Destrade

We present an experimental approach to discriminate hyper-elastic models describing the mechanical behavior of rubber-like materials. An evaluation of the displacement field obtained by digital image correlation allows us to evaluate the…

Classical Physics · Physics 2010-11-24 Luc Chevalier , Yann Marco

This work investigates the existing capabilities and limitations in numerical modeling of fracture problems in functionally graded materials (FGMs) by means of the well-known finite element code ABAQUS. Quasi-static crack initiation and…

Materials Science · Physics 2017-11-02 Emilio Martínez-Pañeda , Rafael Gallego

Hyperelastic materials models are well established to describe the non-linear stress-strain relations of elastomers. In this paper, a polyurethane adhesive is considered as an exemplary material and subjected to tensile, compressive and…

Soft Condensed Matter · Physics 2018-05-29 Olaf Hesebeck , Andreas Wulf

We carry out the homogenization of a fluid-structure interaction problem consisting in the periodic inclusions of a viscous fluid in an elastic body. We get a macrostructure model where the body behaves as a viscoelastic material with a…

Analysis of PDEs · Mathematics 2024-05-20 Juan Casado-Díaz

Collagen fibrils, when subjected to cyclic loading, are known to exhibit hysteretic behaviour with energy dissipation that is partially recovered on relaxation. In this paper, we develop a kinetic model for a collagen fibril incorporating…

Statistical Mechanics · Physics 2022-06-07 Amir Suhail , Anuradha Banerjee , R. Rajesh

In this paper, we describe a uniform and standardized approach for analytically verifying the stability of isotropic, incompressible hyperelastic material models. Here, we address {\sl stability} as fulfillment of the {\sc Hill} condition…

Materials Science · Physics 2025-12-03 Herbert Baaser

The classical continuum models used for the woven fabrics do not fully describe the whole set of phenomena that occur during the testing of those materials. This incompleteness is partially due to the absence of energy terms related to some…

Soft Condensed Matter · Physics 2016-04-18 Gabriele Barbagallo , Angela Madeo , Ismael Azehaf , Ivan Giorgio , Fabrice Morestin , Philippe Boisse

This paper presents a finite-strain hyperviscoplastic constitutive model within a thermodynamically consistent framework for peat which was categorised as a material with both rate-dependent and thermodynamic equilibrium hysteresis based on…

Computational Engineering, Finance, and Science · Computer Science 2017-06-21 L. Zhang , B. C. O'Kelly , T. Nagel

A new strain energy function for the hyperelastic modelling of ligaments and tendons whose fascicles have a helical arrangement of fibrils is derived. The stress-strain response of a single fascicle whose fibrils exhibit varying levels of…

Tissues and Organs · Quantitative Biology 2015-10-05 Tom Shearer

The mechanical behaviour of isotropic and incompressible vulcanized natural rubbers (NR's) and that of quasi-incompressible carbon black filled vulcanized natural rubbers (NR 70) are considered both theoretically and experimentally. Based…

Classical Physics · Physics 2025-10-21 H. Bechir , Luc Chevalier , Mohend Chaouche , K. Boufala

A finite strain nonlinear constitutive model is presented to study the extreme mechanical behavior of a polyurethane-urea well suited for many engineering applications. The micromechanically- and thermodynamically based constitutive model…

Soft Condensed Matter · Physics 2024-09-10 Jaehee Lee , David Veysset , Alex J. Hsieh , Gregory C. Rutledge , Hansohl Cho

This article deals with a viscoplastic material model of overstress type. The model is based on a multiplicative decomposition of the deformation gradient into elastic and inelastic part. An additional multiplicative decomposition of…

Numerical Analysis · Mathematics 2015-05-13 A. V. Shutov , R. Kreissig

Filamentous bio-materials such as fibrin or collagen networks exhibit an enormous stiffening of their elastic moduli upon large deformations. This pronounced nonlinear behavior stems from a significant separation between the stiffnesses…

Soft Condensed Matter · Physics 2019-05-21 Robbie Rens , Carlos Villarroel , Gustavo Düring , Edan Lerner
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