State parameters identification for viscoelastic materials. I
State parameters identification for viscoelastic materials. I
Summary: Starting from the general stress-strain relation for a linear viscoelastic material, which is in agreement with the ''principle of inertia``, a new identification procedure is proposed. Instead of running one long-range relaxation experiment, following a single suitably specified deformation history, material characterization is done using the data of \(n\) short relaxation experiments following \(n\) different deformation histories. To interpret these data a direct non-iterative algorithm has been developed. Compared with other methods, for example, curve fitting by using Gauss' method, this direct method is numerically stable and allows a simple direct evaluation of the error due to the scattering of experimental data. The method has been applied to the determination of the relaxation times of an unsaturated polyester material.
Numerical and other methods in solid mechanics, relaxation times, general stress-strain relation, bodies of Boltzmann-Volterra type, direct non- iterative algorithm, bodies of Kelvin-Voigt type, Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials), \(n\) different deformation histories, direct non-iterative algorithm, \(n\) short relaxation experiments, Thermodynamics in solid mechanics, unsaturated polyester material
Numerical and other methods in solid mechanics, relaxation times, general stress-strain relation, bodies of Boltzmann-Volterra type, direct non- iterative algorithm, bodies of Kelvin-Voigt type, Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials), \(n\) different deformation histories, direct non-iterative algorithm, \(n\) short relaxation experiments, Thermodynamics in solid mechanics, unsaturated polyester material