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Abstract

Existing methods to analyze the hysteretic behavior of elasto mers are primarily based on a deterministic point of view, ignoring scatter of material properties. To overcome this limitation, a probabilistic model is proposed to describe random hysteretic energy loss of viscoelastic materials under two- or three-dimensional (2- or 3-D) cyclic loading. The model takes into consideration the random nature of material properties along with a signi ficant nonlinearity of deformation. Simple analytical solutions to predict major statistical characteristics of random energy loss (mean values, standard deviations) are offered. A generalization of the 3-D model is proposed, where cyclic functions of loading may be different in different directions. A problem of experimental characterization of random material properties is systematically considered on examples of two representative elastomers.

Keywords

hysteretic behavior random energy loss elastomer rubber probabilistic analysis viscoelasticity nonlinearity compression tension shear

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Probabilistic Modeling of Hysteretic Behavior of Elastomers Under 3-D Cyclic Loading

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