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Figure 2

From: Laser cavitation rheology for measurement of elastic moduli and failure strain within hydrogels

Figure 2

Bubble model constitutive relations. Depiction of the stress–strain relationship used to model viscoelastic material failure. (a) Stress–strain relationship utilized for modelling the elastic to plastic transition in the viscoelastic material. Adapted from Ref.51. (b) Representative cavitation dynamics diagram depicting the transition states for the viscoelastic material response which involves switching between constitutive relations at specific time points during the bubble cycle. Bubble dynamics are initially computed for an intact viscoelastic material which subsequently ruptures upon reaching the failure strain εf and bubble radius Rf. Beyond the maximum bubble radius Rmax, cavitation dynamics in the recovery phase are evaluated. The letters correspond to behaviour of the material under deformation where: A—linear elastic, B—plastic deformation, and C—recovery. Prepared using MATLAB R2019b and Adobe Illustrator CS6.

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