In this work, and based on numerical optimization techniques, constitutive parameters for viscoelastic materialsare determined using a inverse problem formulation. The optimization methodology is based on experimental results obtainedin the frequency domain, for a CFRP-Carbon Fibre Reinforced Polymer, through DMA-Dynamic Mechanical Analysis. Therelaxation modulus of viscoelastic materials is given by a summation of decaying exponentiating functions, known as Pronyseries. Prony series, in time domain, are normally used to determine constitutive parameters for viscoelastic materials. In thispaper, using the Fourier transform of the time domain Prony series, a nonlinear constrained least square problem based onProny series representations of storage and loss modulus, for the considered material, is analyzed. A case study consideringthe estimation of 2N viscoelastic parameters, N = 1,2, ···11, is taken as a benchmark. The nonlinear constrained least squareproblems are solved using global and local optimization solvers. The computational results as well as the main conclusion areshown.
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