Classical and Thermodynamically Consistent Non-local Formulations for Ductile Damage: Comparison of Approaches

• Type: Article in International Conference Proceedings Book
• Date: 2010

Authors

Jose M A C Cesar de Sa (Author) FEUP; Filipe X C Andrade (Author) Other; Francisco M A Andrade Pires (Author) FEUP

Conference proceedings International

Title: NUMIFORM 2010, VOLS 1 AND 2: DEDICATED TO PROFESSOR O. C. ZIENKIEWICZ (1921-2009)

Pages: 125-132

10th International Conference on Numerical Methods in Industrial Forming Processes (NUMIFORM 2010)

Pohang, SOUTH KOREA, JUN 13-17, 2010

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Scientific classification

FOS: Engineering and technology > Mechanical engineering

Other information

Authenticus ID: P-003-C61

DOI: 10.1063/1.3457527

Abstract (EN): Non-local theories have been commonly used as suitable localisation limiters for plasticity and damage in finite element analysis. Within the non-local framework, two competitive formulations have emerged: the first one is the classical approach, where a previous local model is directly enhanced with a non-local variable; the other one is fully supported on thermodynamical requirements. In this paper, we present two distinct classical non-formulations for elasto-plasticity coupled with damage where we chose damage and the energy release rate as non-local variables. Within the thermodynamically motivated framework, a simultaneous averaging of both damage and its conjugated thermodynamic force is implied from the Clausius-Duhem inequality. The three resulting models are assessed through numerical simulation with finite elements. The results show that the classical non-local model with averaging of the energy release rate may not regularise the solution under certain circumstances. On the other hand, the other two formulations are able to effectively eliminate the pathological mesh dependency.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 8