publication . Article . Other literature type . 2009

On secondary loops in LAOS via self-intersection of Lissajous–Bowditch curves

Randy H. Ewoldt; Gareth H. McKinley;
Open Access English
  • Published: 12 Dec 2009
  • Publisher: Springer-Verlag
  • Country: United States
Abstract
When the shear stress measured in large amplitude oscillatory shear (LAOS) deformation is represented as a 2-D Lissajous–Bowditch curve, the corresponding trajectory can appear to self-intersect and form secondary loops. This self-intersection is a general consequence of a strongly nonlinear material response to the imposed oscillatory forcing and can be observed for various material systems and constitutive models. We derive the mathematical criteria for the formation of secondary loops, quantify the location of the apparent intersection, and furthermore suggest a qualitative physical understanding for the associated nonlinear material behavior. We show that wh...
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free text keywords: General Materials Science, Condensed Matter Physics, Mechanics, Strain rate, Viscosity, Classical mechanics, Deformation (mechanics), Physics, Shear flow, Shear stress, Nonlinear system, Viscoelasticity, Lissajous curve
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