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A nonlinear elasticity approach to modelling the collapse of a shelled microbubble

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Figure

Fig. 1. Graph of the nondimensionalized radial deformation versus the nondimensionalized reference configuration’s radial coor-dinates for different stress loads ˆp = 0, 0.001, 0.002, ..., 0.01 where ν = 0.48, β = 12 and the initial thickness is YO−YI = 0.0
Fig. 2. Graph of the nondimensionalized Cauchy radial stresses against the nondimensionalized radial deformation for differentinternal stress loads ˆp = 0, 0.001, 0.002, ..., 0.01 where ν = 0.48, β = 12 and initial thickness YO − YI = 0.02
Fig. 3. Graph of the nondimensionalized Cauchy hoop stresses against their nondimensionalized radial deformation for differentinternal stress loads ˆp = 0, 0.001, 0.002, ..., 0.01 where ν = 0.48, β = 12 and initial thickness YO − YI = 0.02
Fig. 4. Graph oftime where g(Y, ˆt) at the nondimensionalized inner and outer radius of a collapsing shell versus the nondimensionalized ν = 0.48, β = 12, YI = 1 and μ = 1 and the initial thickness is YO − YI = 0.02
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