On the performance of isotropic hyperelastic constitutive models for rubber-like materials: a state of the art review

H Dal, K Açıkgöz, Y Badienia - Applied …, 2021 - asmedigitalcollection.asme.org
Besides the well-known landmark models for the hyperelastic response of rubberlike
materials, many new hyperelastic constitutive models have emerged over the last decade …

Hyperelastic energy densities for soft biological tissues: a review

G Chagnon, M Rebouah, D Favier - Journal of Elasticity, 2015 - Springer
Many soft tissues are naturally made of a matrix and fibres that present some privileged
directions. They are known to support large reversible deformations. The mechanical …

[HTML][HTML] A new family of Constitutive Artificial Neural Networks towards automated model discovery

K Linka, E Kuhl - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
For more than 100 years, chemical, physical, and material scientists have proposed
competing constitutive models to best characterize the behavior of natural and man-made …

Hyperelastic models for rubber-like materials: consistent tangent operators and suitability for Treloar's data

P Steinmann, M Hossain, G Possart - Archive of Applied Mechanics, 2012 - Springer
Rubber-like materials consist of chain-like macromolecules that are more or less closely
connected to each other via entanglements or cross-links. As an idealisation, this particular …

Comparison of hyperelastic models for rubber-like materials

G Marckmann, E Verron - Rubber chemistry and …, 2006 - meridian.allenpress.com
The present paper proposes a thorough comparison of twenty hyperelastic models for
rubber-like materials. The ability of these models to reproduce different types of loading …

A data-driven approach to nonlinear elasticity

LTK Nguyen, MA Keip - Computers & Structures, 2018 - Elsevier
The so-called distance-minimizing data-driven computing method is extended to deal with
boundary-value problems of continuum mechanics within the finite strain theory. In the merit …

[HTML][HTML] A comparative study of 85 hyperelastic constitutive models for both unfilled rubber and highly filled rubber nanocomposite material

H He, Q Zhang, Y Zhang, J Chen, L Zhang, F Li - Nano Materials Science, 2022 - Elsevier
Nonlinear finite element analysis is widely used for structural optimization of the design and
the reliability analysis of complex elastomeric components. However, high-precision …

Phase field modeling of fracture in rubbery polymers. Part I: Finite elasticity coupled with brittle failure

C Miehe, LM Schänzel - Journal of the Mechanics and Physics of Solids, 2014 - Elsevier
This work presents a new phase field model for rate-independent crack propagation in
rubbery polymers at large strains and considers details of its numerical implementation. The …

A new micro–macro transition for hyperelastic materials

L Zhan, S Wang, S Qu, P Steinmann, R **ao - Journal of the Mechanics and …, 2023 - Elsevier
Many classic hyperelastic models fail to predict the stress responses of soft materials in
complex loading conditions with parameters calibrated through one simple test. To address …

The mechanical behavior of skin: Structures and models for the finite element analysis

JM Benítez, FJ Montáns - Computers & Structures, 2017 - Elsevier
Soft biological tissues are complex materials with a large structural variety, with differences
in behavior, but with some common characteristics. Skin is an archetypal soft tissue which …