An Assessment of the Correspondence Principle in Comparison to Nonlinear Viscoelastic Theory: A Case Study
The general form of the correspondance principle states that if the solution of an elastic problem is known, the Laplace transform of the solution to the corresponding linear viscoelastic problem may be found by replacing the elastic constants with their linear viscoelastic counterparts, and the actual loads by their Laplace transforms. This modified transform is inverted subsequently to obtain the solution in time domain. Solutions describing the time variation of the maximum adhesive shear stress in double lap joints using linear correspondance principle and nonlinear compliance method for comparison purposes are presented. The nonlinear solution involves a quasi-elastic method utilizing iteration by successive differentiation as described by Weitsman.