On the feasibility of the numerical Laplace Transform in the calculation of the statistical moments in GC

1977 ◽  
Vol 287 (2-3) ◽  
pp. 112-117
Author(s):  
U. Anders
Keyword(s):  
Laplace Transform ◽  
Statistical Moments ◽  
Numerical Laplace Transform

Approximate Laplace Transform Inversion in Dynamic Viscoelasticity

1980 ◽  
Vol 47 (4) ◽  
pp. 769-774 ◽  
Author(s):  
S. R. Swanson
Keyword(s):  
Wave Propagation ◽  
Laplace Transform ◽  
Material Property ◽  
Linear Viscoelasticity ◽  
Dynamic Viscoelasticity ◽  
Inversion Methods ◽  
Laplace Transform Inversion ◽  
Inversion Techniques ◽  
Numerical Laplace Transform

Laplace transform techniques greatly simplify many problems in linear viscoelasticity. However, if realistic material property representations are used, inversion of the resulting transforms can be difficult. Although approximate transform inversion methods have been widely used in quasi-static viscoelastic problems, the application of these techniques to wave propagation problems has been less successful. Inaccuracy of the transform inversion has been noted previously in the literature. The present work shows that one of the numerical Laplace transform inversion techniques of Bellman can successfully be applied to dynamic viscoelasticity. Comparisons with literature solutions and exact functions indicate accuracies to within ±1 percent can be obtained.

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