Semi-implicit finite strain constitutive integration of porous plasticity models

• Tipo: Artigo em Revista Científica Internacional
• Data: 2015

Autores

Areias, P. (Autor) Outra; Rabczuk, T. (Autor) Outra; César De Sá, J. (Autor) FEUP

Revista

Título: Finite Elements in Analysis and Design

Vol. 104

Páginas: 41-55

ISSN: 0168-874X

Editora: Elsevier

Indexação

ISI Web of Knowledge - 2 Citações

ISI Web of Science

Scopus - 3 Citações

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Engenharia mecânica

CORDIS: Ciências Tecnológicas > Engenharia > Engenharia mecânica

Outras Informações

ID Authenticus: P-00G-BES

DOI: 10.1016/j.finel.2015.05.005

Abstract (EN): Two porous plasticity models, Rousselier and Gurson-Tvergaard-Needleman (GTN), are integrated with a new semi-implicit integration algorithm for finite strain plasticity, It consists of using relative GreenLagrange during the iteration process and incremental frame updating corresponding to a polar decomposition. Lowdin's method of orthogonalization is adopted to ensure incremental frameinvariance. In addition, a smooth replacement of the complementarily condition is used Since porous models are known to be difficult to integrate due to the combined effect of void fraction growth, stress and effective plastic strain evolution, we perform a complete assessment of our semi-implicit algorithm. Semi-implicit algorithms take advantage of different evolution rates to enhance the robustness in difficult to converge problems. A detailed description of the constitutive algorithm is performed, with the key components comprehensively exposed. In addition to the fully detailed constitutive algorithms, we use mixed finite strain elements based on Arnold's MINI formulation. This formulation passes the infsup test and allows a direct application with porous models. Isoerror maps for two common initial stress states are shown. In addition, we extensively test the two models with established benchmarks. Specifically, the cylindrical tension test as well as the butterfly shear specimen are adopted for validation. A 3D tension test is used to investigate mesh dependence and the effect of a length scale. Results show remarkable robustness.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 15