Comparison of semi and fully-implicit time integration schemes applied to a damage and fatigue phase field model

Autor(es)

Geovane A. Haveroth ^[1] ; Eduardo A. Barros de Moraes ^[2] ; José L. Boldrini ^[3] ; Marco L. Bittencourt ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, Campinas, SP - Brazil

^[2] Univ Estadual Campinas, Fac Engn Mecan, Dept Sistemas Integrados, Campinas, SP - Brazil

^[3] Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica - Brasil

• Tipo de documento: Artigo Científico
• Fonte: LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES; v. 15, n. 5 2018-06-14.

Resumo

Abstract In this work, we apply semi and fully-implicit time integration schemes to the damage and fatigue phase field presented in Boldrini et al. (2016). The damage phase field is considered a continuous dynamic variable whose evolution equation is obtained by the principle of virtual power. The fatigue phase field is a continuous internal variable whose evolution equation is considered as a constitutive relation to be determined in a thermodynamically consistent way. In the semi-implicit scheme, each equation is solved separately by suited implicit method. The Newton’s method is used to linearize the equations in the fully-implicit scheme. The time integration methods are compared and the results of damage and fracture evolution under the influence of fatigue effects are presented. The computational cost associated to the semi-implicit scheme showed be lower than the fully counterpart. (AU)

• Processo FAPESP: 13/50238-3 - Estudo conceitual de um motor avançado a etanol
• Beneficiário: Francisco Emílio Baccaro Nigro
• Modalidade de apoio: Auxílio à Pesquisa - Programa BIOEN - Centros de Pesquisa em Engenharia
• Processo FAPESP: 15/20188-0 - Utilização dos modelos de campos de fase para problemas envolvendo fraturas, plasticidade e grandes deformações
• Beneficiário: Geovane Augusto Haveroth
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 15/10310-2 - Análise de fadiga numérica e experimental de virabrequins leves
• Beneficiário: Eduardo Augusto Barros de Moraes
• Modalidade de apoio: Bolsas no Brasil - Mestrado