Abstract
Using a simple model to represent the complex relationship between longitudinal and transverse deformation is of much importance for a correct modelization of mechanical behaviors in viscoelastic solids. In this paper, a time-based fractional longitudinal–transverse strain model is presented based on the analogy with fractional stress–strain equation. Experimental results of a series of uniaxial compression and tension tests under strain-relaxation and constant longitudinal strain rate are employed to validate the proposed model. It is shown that the fractional longitudinal–transverse strain model can accurately describe the experimental response, and the fractional order may be positive or negative, which is helpful to characterize the complicated longitudinal–transverse deformation relationship.
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