Martínez Pañeda, Emilio

Muñiz-Calvente, Miguel

Papazafeiropoulos, George

A novel piece of software is presented to connect Abaqus, a sophisticated finite element package, with Matlab, the most comprehensive program for mathematical analysis. This interface between these well-known codes not only benefits from the image processing and the integrated graph-plotting features of Matlab but also opens up new opportunities in results post-processing, statistical analysis and mathematical optimization, among many other possibilities. The software architecture and usage will be appropriately described and two problems of particular engineering significance addressed to demonstrate its capabilities. The source code, detailed documentation and a large number of tutorials can be freely downloaded from www.abaqus2matlab.com

Online Research Database In Technology

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Downloaded from orbit.dtu.dk on: Apr 20, 2018Abaqus2MatLab: A Novel Tool for Finite Element Post-ProcessingMartínez Pañeda, Emilio; Papazafeiropoulos, George; Muñiz-Calvente, MiguelPublished in:Proceedings M2D2017 - 7th International Conference on Mechanics and Materials in DesignPublication date:2017Document VersionPublisher's PDF, also known as Version of recordLink back to DTU OrbitCitation (APA):Martínez Pañeda, E., Papazafeiropoulos, G., & Muñiz-Calvente, M. (2017). Abaqus2MatLab: A Novel Tool forFinite Element Post-Processing. In J. F. Silva Gomes, & S. A. Meguid (Eds.), Proceedings M2D2017 - 7thInternational Conference on Mechanics and Materials in Design (pp. 185-186). [6769] INEGI - Instituto DeCiência E Inovação Em Engenharia Mecânica E Engenharia Industrial.Proceedings of the  7th International Conference on Mechanics and Materials in Design Albufeira/Portugal 11-15 June 2017. Editors J.F. Silva Gomes and S.A. Meguid. Publ. INEGI/FEUP (2017) -185-  PAPER REF: 6769   ABAQUS2MATLAB: A NOVEL TOOL FOR FINITE ELEMENT POST-PROCESSING  Emilio Martínez-Pañeda1(*), George Papazafeiropoulos2, Miguel Muñíz-Calvente3 1Department of Mechanical Engineering, Technical University of Denmark, Kgs. Lyngby, Denmark 2Department of Structural Engineering, National Technical University of Athens. Athens, Greece 3Department of Construction and Manufacturing Engineering, University of Oviedo, Gijón, Spain (*)Email: mail@empaneda.com     ABSTRACT A novel piece of software is presented to connect Abaqus, a sophisticated finite element package, with Matlab, the most comprehensive program for mathematical analysis. This interface between these well-known codes not only benefits from the image processing and the integrated graph-plotting features of Matlab but also opens up new opportunities in results post-processing, statistical analysis and mathematical optimization, among many other possibilities. The software architecture and usage will be appropriately described and two problems of particular engineering significance addressed to demonstrate its capabilities. The source code, detailed documentation and a large number of tutorials can be freely downloaded from www.abaqus2matlab.com.  Keywords: Abaqus2Matlab, post-processing, finite element method.  INTRODUCTION Despite the popularity of Abaqus, a leading commercial finite element package, and Matlab, one of the most powerful mathematical analysis tools, a connection between them is still lacking. To fill this gap, a novel software tool is here proposed: Abaqus2Matlab, which allows to run Abaqus directly from Matlab and to post-process the results, providing a link between the two well-known packages in a non-intrusive and versatile manner. Abaqus2Matlab is distributed as source code with the aim of facilitating research.  RESULTS AND CONCLUSIONS The range of applications of Abaqus2Matlab is enormous, as it provides a non-intrusive connection between a sophisticated finite element package and the most comprehensive mathematical analysis tool. For demonstration purposes, two problems of particular interest from the scientific and engineering perspective have been addressed.  First, the toolbox proposed is used to estimate cleavage fracture in metals, where a probabilistic approach is needed due to the statistical nature of the micromechanisms involved. Since the seminal work by Beremin (Beremin, 1983), cleavage fracture toughness estimations are based on Weibull statistics and the weakest link model. Grounded on this approach, a novel probabilistic framework is proposed that takes advantage of the advanced statistical tools of MATLAB to estimate all Weibull-related parameters without any a priori assumptions. Thus, the threshold stress for crack growth σth, the scaling parameter σu and the Topic-A: Computational Mechanics   -186- Weibull modulus m are obtained by means of an iterative procedure involving least squares estimates of the cumulative distribution functions. Therefore, taking advantage of Matlab capabilities, Weibull parameters are calculated by finding the distribution whose cumulative function best approximates the empirical cumulative distribution function of the experimental data. The capabilities of Abaqus2Matlab to model cleavage fracture are benchmarked with an extensive experimental data set developed within the Euro toughness project (Heerens and Hellmann, 2002). Weibull parameters and failure probabilities are computed, and a hazard map constructed (see Figure 1).  Fig. 1 - Hazard map. The legend shows the local probability of failure The software capabilities are also employed to perform an advanced inverse-optimization methodology so as to obtain the parameters governing the traction-separation law that describes deformation and fracture (see Papazafeiropoulos et al., 2017). Hence, quantitative insight into the initiation and subsequent propagation of damage is obtained through neural network optimization and a hybrid experimental-numerical strategy. Thus, Abaqus2Matlab largely facilitates structural integrity assessment by taking advantage of advanced damage models available in Abaqus and modern optimization capabilities of Matlab. Diverse examples (including the ones outlined here), comprehensive documentation and the source code can be downloaded from www.abaqus2matlab.com.   ACKNOWLEDGMENTS E. Martínez-Pañeda acknowledges financial support from the People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme (FP7/2007-2013) under REA grant agreement nº 609405 (COFUNDPostdocDTU).  REFERENCES [1]-Beremin FM. A local criterion for cleavage fracture of a nuclear pressure vessel steel. Metallurgical and Materials Transactions A, 1983, 14, p. 2277-2287.  [2]-Heerens J, Hellmann D. Development of the Euro fracture toughness dataset. Engineering Fracture Mechanics, 2002, 69, p. 421-449. [3]-Papazafeiropoulos G, Muñiz-Calvente M., Martínez-Pañeda E. Abaqus2Matlab: a suitable tool for finite element post-processing (submitted). 

Abaqus2MatLab: A Novel Tool for Finite Element Post-Processing

  General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.   Users may download and print one copy of any publication from the public portal for the purpose of private study or research.  You may not further distribute the material or use it for any profit-making activity or commercial gain  You may freely distribute the URL identifying the publication in the public portal  If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim.         Downloaded from orbit.dtu.dk on: Mar 29, 2019Abaqus2MatLab: A Novel Tool for Finite Element Post-ProcessingMartínez Pañeda, Emilio; Papazafeiropoulos, George; Muñiz-Calvente, MiguelPublished in:Proceedings M2D2017 - 7th International Conference on Mechanics and Materials in DesignPublication date:2017Document VersionPublisher's PDF, also known as Version of recordLink back to DTU OrbitCitation (APA):Martínez Pañeda, E., Papazafeiropoulos, G., & Muñiz-Calvente, M. (2017). Abaqus2MatLab: A Novel Tool forFinite Element Post-Processing. In J. F. Silva Gomes, & S. A. Meguid (Eds.), Proceedings M2D2017 - 7thInternational Conference on Mechanics and Materials in Design (pp. 185-186). [6769] INEGI - Instituto DeCiência E Inovação Em Engenharia Mecânica E Engenharia Industrial.Proceedings of the  7th International Conference on Mechanics and Materials in Design Albufeira/Portugal 11-15 June 2017. Editors J.F. Silva Gomes and S.A. Meguid. Publ. INEGI/FEUP (2017) -185-  PAPER REF: 6769   ABAQUS2MATLAB: A NOVEL TOOL FOR FINITE ELEMENT POST-PROCESSING  Emilio Martínez-Pañeda1(*), George Papazafeiropoulos2, Miguel Muñíz-Calvente3 1Department of Mechanical Engineering, Technical University of Denmark, Kgs. Lyngby, Denmark 2Department of Structural Engineering, National Technical University of Athens. Athens, Greece 3Department of Construction and Manufacturing Engineering, University of Oviedo, Gijón, Spain (*)Email: mail@empaneda.com     ABSTRACT A novel piece of software is presented to connect Abaqus, a sophisticated finite element package, with Matlab, the most comprehensive program for mathematical analysis. This interface between these well-known codes not only benefits from the image processing and the integrated graph-plotting features of Matlab but also opens up new opportunities in results post-processing, statistical analysis and mathematical optimization, among many other possibilities. The software architecture and usage will be appropriately described and two problems of particular engineering significance addressed to demonstrate its capabilities. The source code, detailed documentation and a large number of tutorials can be freely downloaded from www.abaqus2matlab.com.  Keywords: Abaqus2Matlab, post-processing, finite element method.  INTRODUCTION Despite the popularity of Abaqus, a leading commercial finite element package, and Matlab, one of the most powerful mathematical analysis tools, a connection between them is still lacking. To fill this gap, a novel software tool is here proposed: Abaqus2Matlab, which allows to run Abaqus directly from Matlab and to post-process the results, providing a link between the two well-known packages in a non-intrusive and versatile manner. Abaqus2Matlab is distributed as source code with the aim of facilitating research.  RESULTS AND CONCLUSIONS The range of applications of Abaqus2Matlab is enormous, as it provides a non-intrusive connection between a sophisticated finite element package and the most comprehensive mathematical analysis tool. For demonstration purposes, two problems of particular interest from the scientific and engineering perspective have been addressed.  First, the toolbox proposed is used to estimate cleavage fracture in metals, where a probabilistic approach is needed due to the statistical nature of the micromechanisms involved. Since the seminal work by Beremin (Beremin, 1983), cleavage fracture toughness estimations are based on Weibull statistics and the weakest link model. Grounded on this approach, a novel probabilistic framework is proposed that takes advantage of the advanced statistical tools of MATLAB to estimate all Weibull-related parameters without any a priori assumptions. Thus, the threshold stress for crack growth σth, the scaling parameter σu and the Topic-A: Computational Mechanics   -186- Weibull modulus m are obtained by means of an iterative procedure involving least squares estimates of the cumulative distribution functions. Therefore, taking advantage of Matlab capabilities, Weibull parameters are calculated by finding the distribution whose cumulative function best approximates the empirical cumulative distribution function of the experimental data. The capabilities of Abaqus2Matlab to model cleavage fracture are benchmarked with an extensive experimental data set developed within the Euro toughness project (Heerens and Hellmann, 2002). Weibull parameters and failure probabilities are computed, and a hazard map constructed (see Figure 1).  Fig. 1 - Hazard map. The legend shows the local probability of failure The software capabilities are also employed to perform an advanced inverse-optimization methodology so as to obtain the parameters governing the traction-separation law that describes deformation and fracture (see Papazafeiropoulos et al., 2017). Hence, quantitative insight into the initiation and subsequent propagation of damage is obtained through neural network optimization and a hybrid experimental-numerical strategy. Thus, Abaqus2Matlab largely facilitates structural integrity assessment by taking advantage of advanced damage models available in Abaqus and modern optimization capabilities of Matlab. Diverse examples (including the ones outlined here), comprehensive documentation and the source code can be downloaded from www.abaqus2matlab.com.   ACKNOWLEDGMENTS E. Martínez-Pañeda acknowledges financial support from the People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme (FP7/2007-2013) under REA grant agreement nº 609405 (COFUNDPostdocDTU).  REFERENCES [1]-Beremin FM. A local criterion for cleavage fracture of a nuclear pressure vessel steel. Metallurgical and Materials Transactions A, 1983, 14, p. 2277-2287.  [2]-Heerens J, Hellmann D. Development of the Euro fracture toughness dataset. Engineering Fracture Mechanics, 2002, 69, p. 421-449. [3]-Papazafeiropoulos G, Muñiz-Calvente M., Martínez-Pañeda E. Abaqus2Matlab: a suitable tool for finite element post-processing (submitted). 

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Abaqus2MatLab: A Novel Tool for Finite Element Post-Processing

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