Constitutive modeling of the anisotropic behavior of Mullins softened filled rubbers
Article dans une revue avec comité de lecture
JournalMechanics of Materials
Original constitutive modeling is proposed for filled rubber materials in order to capture the anisotropic softened behavior induced by general non-proportional pre-loading histories. The hyperelastic framework is grounded on a thorough analysis of cyclic experimental data. The strain energy density is based on a directional approach. The model leans on the strain amplification factor concept applied over material directions according to the Mullins softening evolution. In order to provide a model versatile that applies for a wide range of materials, the proposed framework does not require to postulate the mathematical forms of the elementary directional strain energy density and of the Mullins softening evolution rule. A computational procedure is defined to build both functions incrementally from experimental data obtained during cyclic uniaxial tensile tests. Successful comparisons between the model and the experiments demonstrate the model abilities. Moreover, the model is shown to accurately predict the non-proportional uniaxial stress-stretch responses for uniaxially and biaxially pre-stretched samples. Finally, the model is efficiently tested on several materials and proves to provide a quantitative estimate of the anisotropy induced by the Mullins softening for a wide range of filled rubbers.
Files in this item
Showing items related by title, author, creator and subject.
Article dans une revue avec comité de lectureMERCKEL, Yannick; DIANI, Julie; BRIEU, Mathias; GILORMINI, Pierre; CAILLARD, Julien (American Chemical Society, 2011)Several carbon-black filled styrene-butadiene rubbers showed different sensibilities to the Mullins softening when submitted to cyclic uniaxial tension. In order to quantify this softening, a damage parameter was introduced. ...
Article dans une revue avec comité de lectureMERCKEL, Yannick; DIANI, Julie; BRIEU, Mathias; GILORMINI, Pierre; CAILLARD, Julien (Wiley, 2012)A quantitative estimate of the Mullins softening is proposed and tested on various carbon-black filled styrene-butadiene rubbers. In order to model the behaviour of elastomeric materials, some constitutive equations reported ...
Article dans une revue avec comité de lectureMERCKEL, Yannick; BRIEU, Mathias; DIANI, Julie; CAILLARD, Julien (Elsevier, 2012)Samples of carbon-black filled styrene butadiene rubbers (SBRs) were submitted to successive nonproportional loadings in order to define a general criterion for the Mullins softening. For this purpose, each sample was ...
Effects of the Amount of Fillers and of the Crosslink Density on the Mechanical Behavior of Carbon-Black Filled Styrene Butadiene Rubbers Article dans une revue avec comité de lectureMERCKEL, Yannick; DIANI, Julie; BRIEU, Mathias; CAILLARD, Julien (Wiley, 2013)Several carbon-black filled styrene-butadiene rubbers are subjected to monotonic uniaxial tension tests in order to investi-gate the effects of the amount of fillers and of the crosslink density on their mechanical properties. ...
Article dans une revue avec comité de lectureDE CREVOISIER, Jordan; BESNARD, Gilles; MERCKEL, Yannick; ZHANG, Huan; CAILLARD, Julien; VION-LOISEL, Fabien; BERGHEZAN, Daniel; CRETON, Costantino; DIANI, Julie; BRIEU, Mathias; HILD, François; ROUX, Stéphane (Elsevier, 2012)Volumetric strains in a filled SBR specimen subjected to cyclic uniaxial tension with increasing extensions are studied. Digital image correlation is used to follow the kinematics of two orthogonal free faces. A volume ...