Correspondence principles and a generalized J integral for large deformation and fracture analysis of viscoelastic media
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"Correspondence principles and a gen..." refers background in this paper
...The components of the Lagrangian stress tensor Ti R [ 17 ] are given by the transpose of aiR; viz., T~jR----aj~.R Although o~jR is not in general symmetric, these components are very convenient for our purposes because the equilibrium equations,...
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...For an elastic material • is the strain energy per unit undeformed volume [ 17 ]....
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...For large deformations of viscous materials, the current geometry would be considered the "undeformed" state B 0 in order to recover the classical constitutive equations [ 17 ]; the basic expression for relating crack tip and far-field behavior, (10), is not invalidated in this case if the opening displacement Au 2 along the failure zone, Fig. 1, or process zone, Fig. 5, is small compared to the length et or fl, respectively....
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