Stress analysis problems for linear viscoelastic material behavior are solved on the basis of integral operator stress-strain relations. These characterize the material by relaxation modulus functions or creep compliances which are directly measurable over finite time ranges, and completely describe material behavior for stress determinations for the same duration. The stress analysis theory can lead to integral equations which are shown to be soluble with high accuracy by simple finite-difference numerical integration procedures. Examples are presented and compared with solutions obtained by other methods. A possible improved technique for relaxation modulus and creep compliance measurements is suggested, based on the method presented for numerical solution of the integral equations.
Solution of Viscoelastic Stress Analysis Problems Using Measured Creep or Relaxation Functions
Lee, E. H., and Rogers, T. G. (March 1, 1963). "Solution of Viscoelastic Stress Analysis Problems Using Measured Creep or Relaxation Functions." ASME. J. Appl. Mech. March 1963; 30(1): 127–133. https://doi.org/10.1115/1.3630057
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