Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
ANALYTICAL SOLUTIONS FOR THE FOUR PARAMETER BURGERS MODEL USING THE GENERALIZED INTEGRATING FACTOR
Submission Author:
Matheus Janczkowski Fogaça , SC , Brazil
Co-Authors:
Matheus Janczkowski Fogaça, Rogério Marczak, Eduardo Lenz Cardoso
Presenter: Matheus Janczkowski Fogaça
doi://10.26678/ABCM.COBEM2023.COB2023-1543
Abstract
Analytical solutions for second order differential equations like the ones governing idealized viscoelastic constitutive models are only known for some specific forms of excitation. The extension of the analytical solutions to a broader set of excitations is of great interest for the data fit procedure, as well as for many other uses. This work proposed the application of the generalized integrating factor method, recently proposed by the authors, to analytically solve the differential equation of Burgers viscoelastic model for different forms of excitations (either strain or stress). Analytical expressions to compute the derivative of the complete solution with respect to material coefficients, used to fit experimental data, are also obtained. Two examples are provided to validate the analytical solutions associated to senoidal and to constant (relaxation) problems.
Keywords
Burgers model, Analytical Solution, generalized integrating factor, viscoelasticity modelling
