Calculation of relaxation spectra from mechanical spectra in MATLAB

A MATLAB function that discretizes the kernels that describe the dependence of storage
and loss modulus on angular frequency is advanced. The discretization function along with
Tikhonov regularization algorithms were used to calculate the relaxation spectrum from
oscillatory measurements in shear. The L-curve criterion for selection of the optimum
regularization parameter was also employed and the numerical calculations were performed
in MATLAB. The discretization function was validated using artificial data and
subsequently applied to treat mechanical spectra of PDMS specimens. Numerical treatment
of storage and loss moduli data produced relaxation spectra with well resolved
peaks. The novel approach presented is a comprehensive numerical solution producing
well-resolved relaxation spectra from dynamic measurements