6533b837fe1ef96bd12a1e2d
RESEARCH PRODUCT
A constructive approach of invariants of behavior laws with respect to an infinite symmetry group – Application to a biological anisotropic hyperelastic material with one fiber family
Alain ThionnetAlain ThionnetAnh-tuan TaNadia LabedFrançois PeyrautFrédéric Holwecksubject
Pure mathematics02 engineering and technologyTheory of invariantsSymmetry groupConstructiveAnisotropic hyperelastic materialMaterials Science(all)0203 mechanical engineeringModelling and SimulationGeneral Materials ScienceBiomechanicsInvariant (mathematics)AnisotropyMaterial symmetryMathematicsApplied MathematicsMechanical EngineeringMathematical analysis021001 nanoscience & nanotechnologyCondensed Matter Physics020303 mechanical engineering & transportsMechanics of MaterialsModeling and SimulationHyperelastic material[PHYS.COND.CM-MS]Physics [physics]/Condensed Matter [cond-mat]/Materials Science [cond-mat.mtrl-sci]Reynolds operator0210 nano-technologydescription
Abstract In this paper, six new invariants associated with an anisotropic material made of one fiber family are calculated by presenting a systematic constructive and original approach. This approach is based on the development of mathematical techniques from the theory of invariants: • Definition of the material symmetry group. • Definition of the generalized Reynolds Operator. • Calculation of an integrity basis for invariant polynomials. • Comparison between the new (constructed) invariants and the classical ones.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-10-01 | International Journal of Solids and Structures |