What does SED stand for?

s] Parameter proportional to shear activation volume w Strain energy density Superscript X X-arm of model Superscript Y Y-arm of model Greek Symbols [alpha] Finite strain extensibility factor [delta] Grip displacement [eta] Sliplink slipperiness factor [lambda] Extension ratio [sigma] Component of normal stress [bar.

2] The stress tensor ([T]) for an incompressible material is defined as a function of strain invariants and strain energy density functions (W) [8] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] where P is the hydrostatic pressure and [1] is the unit matrix.

The strain energy density is chosen in the form [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] Since we are mainly interested in the estimation of [theta], we introduce a new variable U = u + v.

This procedure allows us to link two different scale models based on two hypotheses: (i) macroscopic homogeneous deformations are imposed to a representative volume element (module) of the material periodic microstructure; (ii) the volume average of the stored energy function of the module is equated, through the localization theorem, to the strain energy density of the macromodel.

dS]), (2) where, W denotes the strain energy density (SED), (X, Y) is an orthogonal coordinate system with X-axis parallel to the notch surface, [GAMMA] is a curve surrounding the notch tip, dS is a small element of [GAMMA], [T.

Hyper-elastic response of rubber Strain energy density functions U, representing rubber hyperelastic behavior, can be based on polynomials of strain invariants: [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] where: [C.

Increase of Dissipated Strain Energy Density Per Cycle.

The critical tearing energy, T, was calculated from the equation (1) T= Wh where W is the strain energy density in the specimen when crack propagation begins and h is the specimen height (ref.