Abstract
A homogeneous and isotropic linear viscoelastic material, whose relaxation function in shear is a constant multiple of its relaxation function in isotropic compression, occupies a region which does not change with time. It is shown that, if all the regions where stress (displacement) boundary conditions are prescribed are either monotone increasing or monotone decreasing for all time, the solution of a viscoelastic problem may be reduced to the solution of a one-parameter family of adjunct elastic problems. This result is generalized to give a tie between the solution of boundary value problems for certain anisotropic and inhomogeneous viscoelastic bodies, with one relaxation function, and solutions of anisotropic, inhomogeneous elastic boundary value problems.
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