Search results for "Reynolds operator"

showing 1 items of 1 documents

A constructive approach of invariants of behavior laws with respect to an infinite symmetry group – Application to a biological anisotropic hyperelas…

2014

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.

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-technologyInternational Journal of Solids and Structures
researchProduct