2022/01/11 by Thaís C. da Costa Haveroth, Geovane Augusto Haveroth, Haveroth, Thaís C. da Costa +5
Engineering · Materials Science · #74G15 #Aluminum Alloy Microstructure Properties #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering #Solidification and crystal growth phenomena
paper · pdf · doi:10.48550/arxiv.2201.04002
openalex publication_date 2022/01/11 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28
This paper proposes a thermodynamically consistent phase-field damage model for viscoelastic materials. Suitable free-energy and pseudo-potentials of dissipation are developed to build a model leading to a stress-strain relation, under the assumption of finite strain, in terms of fractional derivatives. A novel degradation function, which properly couples stress response and damage evolution for viscoelastic materials, is proposed. We obtain a set of differential equations that accounts for the evolution of motion, damage, and temperature. In the present work, for simplicity, this model is numerically solved for isothermal cases by using a semi-implicit/explicit scheme. Several numerical tests, including fitting with experimental data, show that the developed model accounts appropriately for damage in viscoelastic materials for small and finite strains. Non-isothermal numerical simulations will be considered in future works.