Storage and Loss modulus Determination from Prony Coefficients

Abaqus model is built to determine Storage and Loss modulus from Prony Coefficients using one element Abaqus model.

Element type: CPE4RH

Material:

1) Hyperelastic Mooney-Rivlin: C10=0.51475;C01=0.30484

2) Viscoelastic Prony Coefficient: g_i Prony=0.6148;tau_i Prony=0.019975

Loading:

Step 1: Static displacement = 0.1

Step 2: Steady state dynamic , perturbed displacement = 0.1

Storage modulus, Gs = Real value of Shear Stress/Shear Strain at t=0

Loss Modulus,  Gl = Imaginary Value of Shear Stress/Shear Strain at t=0

Further calculations areshown in the attached excel sheet.

Attached are models used for this analysis

 

Regards

Ankur Agarwal