Semi-implicit finite strain constitutive integration of porous plasticity models

• Type: Article in International Scientific Journal
• Date: 2015

Authors

Areias, P. (Author) Other; Rabczuk, T. (Author) Other; César De Sá, J. (Author) FEUP

Journal

Title: Finite Elements in Analysis and Design

Vol. 104

Pages: 41-55

ISSN: 0168-874X

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 2 Citations

ISI Web of Science

Scopus - 3 Citations

Scientific classification

FOS: Engineering and technology > Mechanical engineering

CORDIS: Technological sciences > Engineering > Mechanical engineering

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 15