![](/assets/images/picto-drapeau-france-3a76576a5d60a512053b4612ab58dae5.png)
3. Hyperelastic, isotropic and incompressible behavior law
Once the tensors of strain and stress have been defined, and the equations of motion established (not recalled in this article), it is necessary to propose a relationship (or relationships) governing the mechanical response of the material, i.e. expressing stress as a function of strain. This type of equation is known as a behavioral law. Several theories have been developed to describe the mechanical response of elastic materials, i.e. for reversible transformations, subjected to large deformations. Today, however, authors agree on the relevance of the theoretical framework of hyperelasticity.
In this section, the theory is first presented; the main results are given without demonstration (often requiring complex mathematical developments).
Exclusive to subscribers. 97% yet to be discovered!
You do not have access to this resource.
Click here to request your free trial access!
Already subscribed? Log in!
![](/assets/images/logo-eti-286623ed91fa802ce039246e516e5852.png)
The Ultimate Scientific and Technical Reference
This article is included in
Plastics and composites
This offer includes:
Knowledge Base
Updated and enriched with articles validated by our scientific committees
Services
A set of exclusive tools to complement the resources
Practical Path
Operational and didactic, to guarantee the acquisition of transversal skills
Doc & Quiz
Interactive articles with quizzes, for constructive reading
Hyperelastic, isotropic and incompressible behavior law
Bibliography
Standards and norms
The following standards provide experimental methods for elastomers. They are, however, adapted to property control rather than behavior modeling. They should therefore be treated with caution.
- Caoutchouc vulcanisé ou thermoplastique. Détermination des propriétés de contrainte/déformation en compression. - NF ISO 7743 (T46-062) - février 2012
- Caoutchouc vulcanisé ou thermoplastique. Détermination...
Directory
Laboratories – Design offices – Schools – Research centers
LRCCP – Laboratoire de Recherches et de Contrôle du Caoutchouc et des Plastiques (Rubber and Plastics Research and Control Laboratory)
IFOCA – Institut national de formation et d'enseignement professionnel du caoutchouc
Software tools (non-exhaustive list)
Commercial structural design software incorporating hyperelastic models
Abaqus
https://www.3ds.com/fr/produits-et-services/simulia/produits/abaqus/
Adina
Exclusive to subscribers. 97% yet to be discovered!
You do not have access to this resource.
Click here to request your free trial access!
Already subscribed? Log in!
![](/assets/images/logo-eti-286623ed91fa802ce039246e516e5852.png)
The Ultimate Scientific and Technical Reference