Journal of Research of the National Bureau of Standards Section A Physics and Chemistry · 1975 · 104 citations · 2 references
EngineeringMaterials EngineeringMaterials ScienceApplied MechanicsMechanical Behavior Of MaterialsRheologyComposite MaterialsMechanics Of Composite MaterialsNewtonian FlowRheological ModelingSolid Mechanics ApplicationsAnalytic ApproximationsFiller MaterialsFiller Particle Size EffectsParticle Volume Fraction EffectsShear ModulusShear Properties Of CompositesSimplificationVolume Fraction Effects
T he coe ffi c ient s in va n del" Poe!'s equa ti on fo r c alc ul atin g th e sh ear modulu s of a parti c ul atc c om pos it e have b ee n g r ~a tl y sim p lifi ed. ma kin g the ca lc ul ati o n mu c h less un w ield y. Approx im ate so lut lO nso f va n d~r Poe l s equati on are al so de ri ved. and it is show n th at on e of th e low o rd er app rox i. mat lOns IS K e ~'n e r s equ ati on. or I-I as hin a nd S htrik ma n's equ ati o n fur th e hi g hes t lowe r bo und. Th e K eln el appl OX I llHlt lO1l IS oft en too lo w In va lu e when th e vu lu me fr action of fill er exceeds 0.2. but it c an be used to. provide fu r~h er s imp lifi ca t IO n In va n der Poe l' s equ ation . or it c an be used as a first ap prOX i ma t IOn In a New ton s me th ud of so luti on .
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