6533b858fe1ef96bd12b59fe

RESEARCH PRODUCT

A new hyperelastic model for anisotropic hyperelastic materials with one fiber family

Frédéric HolweckZhi-qiang FengZhi-qiang FengFrançois PeyrautRenye Cai

subject

Materials science02 engineering and technologyStrain energy0203 mechanical engineeringNatural rubberGeneral Materials ScienceBiomechanicsAnisotropyPolynomial (hyperelastic model)Fiber (mathematics)business.industryApplied MathematicsMechanical EngineeringFunction (mathematics)Structural engineering[SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]021001 nanoscience & nanotechnologyCondensed Matter PhysicsAnisotropic hyperelasticity020303 mechanical engineering & transportsMechanics of MaterialsModeling and Simulationvisual_artHyperelastic materialvisual_art.visual_art_mediumCompressibilityTheory of invariant polynomials0210 nano-technologybusiness

description

International audience; The main goal of this study is to propose a practical application of a new family of transverse anisotropic invariants by designing a strain energy function (SEF) for incompressible fiber-reinforced materials. In order to validate the usability and creativeness of the proposed model, two different fiber-reinforced rubber materials under uniaxial and shear testing are considered. For each kind of material, numerical simulations based on the proposed model are consistent with experimental results and provide information about the effect of the new family of invariants in the construction of the SEF.

10.1016/j.ijsolstr.2015.11.008https://hal.science/hal-01325064