A damage phase-field model for fractional viscoelastic materials in finite strain

Author(s)

da Costa-Haveroth, T. C. ; Haveroth, G. A. ; Bittencourt, M. L. ; Boldrini, J. L.

• Document type: Journal article
• Source: COMPUTATIONAL MECHANICS; v. 69, n. 6, p. 29-pg., 2022-02-10.

Abstract

This paper proposes a thermodynamically consistent phase-field damage model for viscoelastic materials following the strategy developed by Boldrini et al. (Methods Appl Mech Eng 312:395-427, 2016). 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. (AU)

• FAPESP's process: 15/20188-0 - One the use of phase field models to problems with damage, plasticity and large strains
• Grantee: Geovane Augusto Haveroth
• Support Opportunities: Scholarships in Brazil - Doctorate