6533b7d8fe1ef96bd126b891
RESEARCH PRODUCT
A new invariant-based method for building biomechanical behavior laws - Application to an anisotropic hyperelastic material with two fiber families
Alain ThionnetAlain ThionnetFrançois PeyrautAnh-tuan TaFrédéric HolweckNadia Labedsubject
[ SPI.MAT ] Engineering Sciences [physics]/Materials02 engineering and technologyTheory of invariantsConstructiveAnisotropic hyperelastic material[SPI.MAT]Engineering Sciences [physics]/Materialssymbols.namesake0203 mechanical engineeringMaterials Science(all)Modelling and SimulationGeneral Materials ScienceBiomechanicsInvariant (mathematics)AnisotropyMaterial symmetryMathematicsMechanical EngineeringApplied MathematicsMathematical analysis021001 nanoscience & nanotechnologyCondensed Matter Physics020303 mechanical engineering & transportsMechanics of MaterialsModeling and SimulationHyperelastic materialsymbolsNoether's theorem0210 nano-technologydescription
Abstract In this article, we present a general constructive and original approach that allows us to calculate the invariants associated with an anisotropic hyperelastic material made of two families of collagen fibers. This approach is based on mathematical techniques from the theory of invariants: • Definition of the material symmetry group. • Analytical calculation of a set of generators using the Noether’s theorem. • Analytical calculation of an integrity basis. • Comparison between the proposed invariants and the classical ones.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-07-01 |