On the correlation of ”static” and ”dynamic” stiffness moduli of noncohesive soils

By Torsten Wichtmann and Theodor Triantafyllidis

The secant stiffness of the stress - strain - hysteresis during a cyclic or dynamic loading with very small strain amplitudes is sometimes called ”dynamic” stiffness of a soil. In contrast, a ”static” stiffness is obtained from the first loading curve in oedometric or triaxial tests. Indeed the difference between ”dynamic” (small-strain)

and ”static” (large-strain) stiffness moduli is due to the not due to different loading rates. The small strain stiff- ness is an important design parameter for foundations

subjected to a cyclic or dynamic loading. However, its determination in situ or from laboratory tests is laborious and expensive. In practice the small-strain stiffness

is often estimated my means of a diagram correlating ”dynamic” and ”static” stiffness moduli

.....

http://www.torsten-wichtmann.de/paper/journal/2009-BT-correlation-Edyn-Es-englisch.pdf

Allow me to suggest our works with Policarpo  which I add two links bellow. Let me know if it helps.

Conference Paper ESTIMATION OF COMPLEX LONGITUDINAL AND SHEAR MODULI OF COMPO...

Article A simple method for the determination of the complex modulus...

Thank you Mohammed and Miguel,

I have not used a FE model but a transfer matrix by solving the Helmholtz equation similar to the matrix you have on page 4.

 By applying boundary condition I get a graph but its not convincing.

Thank you Mohammed and Miguel,

I have not used a FE model but a transfer matrix by solving the Helmholtz equation similar to the matrix you have on page 4.

 By applying boundary condition I get a graph but its not convincing.

Coukd you show your result/graph and give some more details?