One the use of phase field models to problems with damage, plasticity and large strains

• Grant number: 15/20188-0
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: March 01, 2016
• End date: February 29, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Jose Luiz Boldrini
• Grantee: Geovane Augusto Haveroth
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The project aims the development and analysis of computational models to describe the damage propagation in materials which present elastoplastic behavior subject to large strains. Instead of considering sharp transitions models, which lead to theoretical difficult and high computational effort, is used a methodology based on diffuse transitions by using phase fields to describe the damage. This allow the complex geometry treatment, as expected in damage development. Furthermore, this treatment enables the thermodynamically consistent models development using the functional free energy and dissipation associated to stabilize the damage. One intend to use finite elements of high order to develop models and algorithms.

Scientific publications

(6)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CHIARELLI, L. R.; FUMES, F. G.; BARROS DE MORAES, E. A.; HAVEROTH, G. A.; BOLDRINI, J. L.; BITTENCOURT, M. L.. Comparison of high order finite element and discontinuous Galerkin methods for phase field equations: Application to structural damage. COMPUTERS & MATHEMATICS WITH APPLICATIONS, v. 74, n. 7, p. 1542-1564, OCT 1 2017. (15/20188-0, 15/10310-2, 13/50238-3)

HAVEROTH, G. A.; VALE, M. G.; BITTENCOURT, M. L.; BOLDRINI, J. L.. A non-isothermal thermodynamically consistent phase field model for damage, fracture and fatigue evolutions in elasto-plastic materials. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v. 364, JUN 1 2020. (13/50238-3, 15/20188-0)

DA COSTA-HAVEROTH, T. C.; HAVEROTH, G. A.; KUHL, A.; BOLDRINI, J. L.; BITTENCOURT, M. L.; SASSE, F. D.; POLAK, M. A.; MUNOZ-ROJAS, P. A.. Aspects on viscoelasticity modeling of HDPE using fractional derivatives: Interpolation procedures and efficient numerical scheme. MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, MAY 2021. (15/20188-0, 20/14288-0)

GEOVANE A. HAVEROTH; EDUARDO A. BARROS DE MORAES; JOSÉ L. BOLDRINI; MARCO L. BITTENCOURT. Comparison of semi and fully-implicit time integration schemes applied to a damage and fatigue phase field model. LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES, v. 15, n. 5, 2018-06-14. (13/50238-3, 15/20188-0, 15/10310-2)

DA COSTA-HAVEROTH, T. C.; HAVEROTH, G. A.; BITTENCOURT, M. L.; BOLDRINI, J. L.. A damage phase-field model for fractional viscoelastic materials in finite strain. COMPUTATIONAL MECHANICS, v. 69, n. 6, p. 29-pg., 2022-02-10. (15/20188-0)

DA COSTA-HAVEROTH, T. C.; HAVEROTH, G. A.; KUHL, A.; BOLDRINI, J. L.; BITTENCOURT, M. L.; SASSE, F. D.; POLAK, M. A.; MUNOZ-ROJAS, P. A.. Aspects on viscoelasticity modeling of HDPE using fractional derivatives: Interpolation procedures and efficient numerical scheme. MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, v. N/A, p. 16-pg., 2021-05-20. (15/20188-0, 20/14288-0)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

HAVEROTH, Geovane Augusto. Modelos de campos de fase para problemas envolvendo fratura, plasticidade e grandes deformações. 2020. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.