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Biography

Dr. Mamadou T. Bah was awarded a PhD in Computational Mechanics in 2003 by the University of Southampton. During his doctoral research at the Computational Engineering Design Centre, he developed Finite Element-based reduced order modelling techniques for the efficient analysis of the dynamics of mistuned bladed disks, as part of a British Aerospace-Rolls Royce University Technology Partnership for Design. He studied and was trained as a Researcher at the Universite de Technologie de Troyes, developing mathematical and numerical methods for time-variant reliability analysis of dynamic systems as part of the French degree ‘‘Diplome d’ Etudes Avancees’’. Prior to this, he graduated with a BSc and an MSc in Electro-Mechanical Engineering from Odessa State Polytechnic University (Ukraine) and studied Mathematics and Physics at the Faculty of Sciences of the Universite Cheikh Anta Diop de Dakar in Senegal.

Dr. Bah has more than 12 years of postdoctoral research experience in the development of computational methods, mathematical modelling and computer simulation. As a Senior Research Fellow, he extensively carried responsibilities of research in the area of computational biomechanics, teaching, supervision, consultancy and grant application. He has successfully secured funding from both industry and research institutions and worked broadly across different interfaces, having developed a wide cross-disciplinary research portfolio related to image-based modelling of implant performance. His research was reflected by the very first paper reporting the primary stability of a new short stem design across a spectrum of patients, based on femur anatomy parameterization and automated implant positioning. The technology has been transferred to industry.

His current research interests are broad: image processing, 3D construction, advanced finite element contact modelling, robust design, data science, probabilistic and statistical shape analysis, surrogate modelling/machine learning, stochastic analysis, data science and cybercrime.

Dr. Bah has supervised undergraduate and postgraduate students and postdoctoral researchers. He is committed to remain a strong advocate for research and science communication, as demonstrated by publications of over 60 journal and conference papers, his presentations at involvement in international events and visits to overseas research groups. His efforts resulted in delivering lectures at Beijing Jiaotong University and editing a book as part of a joint collaboration, and at other universities such as the University of Cape Town (South Africa) and at the Indian Institute of Technology (IIT) (Kharagpur, India).

Dr. Bah has taught various subjects including Mathematics, Statistics, Surrogate Modelling, Optimisation, Computational Methods, Finite Element Analysis, Mechanics of Solids, Mechanics and Modelling & Computing. He uses his skills and experience to inspire and challenge students in order to empower them to reach their full potential and master the taught subjects.

He is a Reviewer for many scientific journals and a member of various societies. He speaks English, French, Russian, French and Wolof and Fulani and has personal interests in philosophy, spirituality, humanity, tolerance and social justice and the promotion of education worldwide.

Areas of expertise

  • Mathematical Modelling
  • Numerical Analysis and Computer Simulation:
  • Stochastic Analysis and Robust Design.
  • Optimisation
  • Statistical Analysis
  • Surrogate modelling/Machine Learning/Data Science
  • Finite Element Analysis
  • Image-based 3D reconstruction and its applications

Publications

Book

The Belt and Road Rail Transit Series Planning Textbook: Strength Foundation of Railway Vehicles. By Mamadou T. Bah (Associate Editor) and Wenjing Wang (Chief Editor). China Railway Publishing House Co.,Ltd. 2020, Beijing. 

Journal Papers

  1. "Economic Geographies of the Illegal: The Multiscalar Production of Cybercrime" with Tim Hall et al. Trends in Organized Crime Journal, in review.
  2. "Tourism Over-education in France: A Critical Analysis" with Hugues Seraphin et al. Journal of Hospitality & Tourism Education, in review.
  3. T. S Alathari, M. T. Bah and M. S. Nixon, ‘‘On Isolating Parts via a new Image-based Pressure Analogy: Analysis of Femur Visualisation,’’ Journal of Computer Methods in Biomechanics and Biomedical Engineering, in progress.
  4. M. T. Bah, R. Snorrason and M. O. Heller, ''Statistical Finite Element Analysis of the Mechanical Response of the Intact Human Femur Using a Wide Range of Individual Anatomies", Lecture Notes in Computational Vision and Biomechanics 36 (13), 186-195, 2020.
  5. D. Denis, D. Maucourt-Boulch, Y. Suchier, M. T. Bah and J. D. Metaizeau, ‘‘Biomechanical and clinical comparative study of the new Elastic Stable intramedullary Nailing « MJ-FLEX Orthofix® »’’ Journal of Pediatric Orthopaedic,’’ 2018, July 2018, DOI: 10.1097/BPO.0000000000001206, PMID: 29975294.
  6. *M. T. Bah, Y. Suchier, D. Denis, J. D. Metaizeau, ‘‘Pre-Clinical Analysis of the Performance of a New Elastic Stable Intramedullary Nail Design,’’ Bone & Joint Journal 99-B: Sup 3/24, 2017.
  7. * M. T. Bah, ‘‘ANSYS simulation helps to determine the hip implant position that will provide the best integration with bone,’’ ANSYS Advantage magazine Joined at the Hip 10(1), 1-3, 2016.
  8. * M. T. Bah, J. Shi, M.O. Heller, Y. Suchier, F. Lefebvre, P. Young, Leonard King, D. Dunlop, M. Boettcher, E. Draper, M. Browne, ‘‘ POPULATION-BASED AUTOMATED ANALYSIS OF THE PRIMARY STABILITY OF HIP STEMS,’’ Bone & Joint Journal 98-B: Sup 1/33, 2016.
  9. *M. T. Bah, J. Shi, M. O. Heller, Y. Suchier, F. Lefebvre, P. Young, L. King, D. G. Dunlop, E. Draper and M. Browne. ‘‘Inter-Subject Variability Effects on the Primary Stability of a Short Cementless Femoral Stem,’’ Journal of Biomechanics 48, 1032-1042, 2015.
  10. *M. T. Bah, J. Shi, M. Browne, Y. Suchier, F. Lefebvre, P. Young, L. King, D. G. Dunlop, and M.O. Heller, ‘‘Exploring Inter-subject anatomic variability using a population of patient-specific femurs and a statistical shape and intensity model’’, Medical Engineering & Physics 37(10), 9951007, 2015.
  11. *M. T. Bah, J. Shi, Y. Suchier, F. Lefebvre, P. Young, M. Browne, D. Dunlop, L. King and M.O. Heller, 2013. Gender-Specific Statistical Shape Model of the Femur for Automated Image-Based Anatomic Parameter Measurements. Bone Joint Journal 95-B: Sup 34 233, 2013.
  12. *M. T. Bah, R. Bryan, V. B. Xuan and P. G. Young, ‘‘Development of a New Tool Kit for Evaluating Implant Positioning Through Automated Model Generation,’’ Computer Aided Medical Engineering CaMe 3, 25-30, 2012.
  13. *M. T. Bah, M. Browne, P. G. Young, R. Bryan and V. Bui Xuan, ‘‘Effects of Implant Positioning in Cementless Total Hip Replacements,’’ Journal of Computer Methods in Biomechanics and Biomedical Engineering 14(1), 275-276, 2011.
  14. *M. T. Bah, P. B. Nair, M. Taylor and M. Browne, ’’ Efficient Computational Method for Assessing the Effects of Implant Positioning in Cementless Total Hip Replacements,’’ Journal of Biomechanics 44, 1417-1422, 2011.
  15. X. G. Qiao, M. T. Bah, J. Zhang, N. Gao, Z. Moktadir, M. Kraft, M. J. Starink, ‘‘Microembossing of Ultrafine Grained Al: Microstructural Analysis and Finite Element Modelling,’’ Journal of Micromechanics and Microengineering 20, 1-14, 2010.
  16. *M. T. Bah, P. B. Nair and M. Browne, ‘‘A Novel Computational Tool for the Analysis of Implant Positioning Effects in Cementless Total Hip Replacements,’’ Journal Bone & Joint Surg Br. 93-B:Supp IV 406, 2011.
  17. *M. T. Bah, P. B. Nair, M. Browne, ‘‘Mesh morphing for finite element analysis of implant positioning in cementless total hip replacements’’, Medical Engineering & Physics 31(10), 1235-1243, 2009.
  18. *M. T. Bah and M. Browne, ‘‘Effect of Geometrical Uncertainty on Cemented Hip Implant Structural Integrity,’’ Journal of Biomechanical Engineering, 131, pp. 1-5, 2009.
  19. L. Mehrez, A. M. New, M. T. Bah, and M. Browne, M., ‘‘Comparative study of probabilistic methods applied to a 3D finite element model of a THR,’’ Journal of Biomechanics 39(S1), S67-S67.
  20. *M. T. Bah, P. B. Nair, A. Bhaskar and A. J Keane, ‘‘Forced Response Statistics of Mistuned Bladed Disks: A Stochastic Reduced Basis Approach,’’ Journal of Sound and Vibration, 263(2), 377-397, 2003.
  21. *M. T. Bah, A. Bhaskar and A. J Keane, ‘‘Model Order Reduction and Pass-band Based Calculations for Disordered Periodic Structures,’’ Journal of Sound and Vibration, 256(4), 605-627, 2002.

 

Conference Papers: Refereed

  1. M. T. Bah, ‘‘EFFICIENT FINITE ELEMENT CONTACT ANALYSIS OF THE BONE-IMPLANT INTERFACE: A SUBSTRUCTURING APPROACH,’’ 2020.  3rd African Conference in Tribology (ACT 2020). Dakar, Senegal (Date to be re-scheduled due to Covid-19).
    1. M. T. Bah, R. Snorrason and M. O. Heller, ‘‘Statistical Finite Element Analysis of the Mechanical Response of the Intact Human Femur Using a Wide Range of Individual Anatomies,’’ 2019. 16th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering and 4th Conference on Imaging and Visualization, 14-16th August 2019, New York City, USA.
    2. * M. T. Bah, ‘‘Prediction of Femoral Stem Micromotion Across a Spectrum of Patient Morphology,’’ 2016. International Society for Technology in Arthroplasty, 5th 8th Oct. 2016, Boston, USA.
    3. * M. T. Bah, Y. Suchier, D. Denis, J. D. Metaizeau, ‘‘Pre-Clinical Analysis of the Performance of a New Elastic Stable Intramedullary Nail Design,’’ International Society for Technology in Arthroplasty, 5th 8th Oct. 2016, Boston, USA.
    4. B. Moreau, A.-H. Dicko, P. Mailliez, P. Portejoie, C. Lecomte, M. T. Bah, T. Grenier, E. Jolivet, P. Petit , B. Fréchède, F. Faure, B. Gilles, P. Beillas, ‘‘A segmentation pipeline for the creationof statistical shape models in the PIPER project. 22nd Congress of the European Society of Biomechanics, 10-13th July 2016, Lyon, France.
    5. * M. T. Bah, DEVELOPMENT OF A COMPUTATIONAL TOOL FOR EFFICENT PREDICTION OF FEMORAL STEM MICROMOTION ACROSS THE SPECTRUM OF PATIENT MORPHOLOGY. 21st Congress of the European Society of Biomechanics, 5-8th July 2015, Prague, Czech Republic.
    6. M. Horner, G. Verma, S. Cockram, L. Genc, R. Bryan, and M. T. Bah, 2015. An Automated Tool for Analysis of Implant Positioning Effects in Total Hip Replacement. BMES/FDA Frontiers in Medical Devices Conference: Innovations in Modeling and Simulation, 18th-20th May 2015.
    7. M. Horner, G. Verma, S. Cockram, L. Genc, R. Bryan, and M. T. Bah, 2015. An Automated Tool for Analysis of Implant Positioning Effects in Total Hip Replacement. BMES/FDA Frontiers in Medical Devices Conference: Innovations in Modeling and Simulation, 18th-20th May 2015.
    8. *M. T. Bah, J. Shi, M. Browne, Y. Suchier, F. Lefebvre, P. Young, L. King, D. G. Dunlop, M. Boettcher, E. Draper and M.O. Heller, 2014. Population-based Automated Analysis of the Primary Stability of Hip Stems. International Society for Technology in Arthroplasty, 24th 27th Sept. 2014, Kyoto, Japan.
    9. *M. T. Bah, J. Shi, M. Browne, Y. Suchier, F. Lefebvre, P. Young, L. King, D. G. Dunlop, M. Boettcher, E. Draper and M.O. Heller, 2014. Is there a need for patient stratification in the use of short femoral stems? An analysis of the primary stability of FURLONG® EVOLUTION femoral stems across a spectrum of patients. 7th World Congress of Biomechanics, 6th 11th July 2014, Boston, USA.
    10. J. Shi, M. Browne, M.O. Heller, Y. Suchier, F. Lefebvre, P. Young, L. King, D. G. Dunlop, M. Boettcher, E. Draper and M.T. Bah, 2014. Bone Interface Strain Variations in Cementless Total Hip Replacements (THRs) Using FURLONG® EVOLUTION Femoral Stems. 7th World Congress of Biomechanics, 6th 11th July 2014, Boston, USA.
    11. G. Verma, S. Cockram, R. Bryan, M. Horner and M. T. Bah, 2014. Simpleware-ANSYS coupling for optimization of patient specific hip implants. Pre-ORS-22nd Annual Symposium on Computational Methods in Orthopaedic Biomechanics, 14th March 2014, Tulane University, New Orleans, USA.
    12. T. S Alathari, M. S. Nixon and M. T. Bah, 2014. Femur Bone Segmentation using a Pressure Analogy. 22nd International Conference on Pattern Recognition, pp. 1-5, 24th-28th August 2014.
    13. *M. T. Bah, J. Shi, Y. Suchier, F. Lefebvre, P. Young, M. Browne, D. Dunlop, L. King and M.O. Heller*, 2013. Development of an Automated Image-Based Tool for Robust Analysis of the Performance of Cementless Hip Replacements. International Fatigue Design Conference, 27th 28th Nov., Paris Senlis, France. Selected as one of the top 5 posters. Published by ScienceDirect in Proceedia Engineering, 66, 1-812, 2013.
    14. *M. T. Bah, J. Shi, Y. Suchier, F. Lefebvre, P. Young, M. Browne, D. Dunlop, L. King and M.O. Heller*, 2013. GENDER-SPECIFIC STATISTICAL SHAPE MODEL OF THE FEMUR FOR AUTOMATED IMAGE-BASED ANATOMIC PARAMETER MEASUREMENTS. International Society for Technology in Arthroplasty, 16th 19th Oct., Palm Beach, Florida, USA. Selected as one of the top 5 posters at the University of Southampton Health Technologies Poster Exhibition, 19th Feb. 2013.
    15. *M. T. Bah, V. B. Xuan, S. Richards, M. Nicolas, G. Champion, M. Browne, R. Bryan and P. G. Young, 2012. Development of a new tool for rapid analysis of implant positioning effects in total hip replacements. 10th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering, Berling, Germany, 11th 14th April, pp. 1-6.
    16. *M. T. Bah, M. Browne, P. G. Young, R. Bryan and V. Bui Xuan, ‘‘Effects of Implant Positioning in Cementless Total Hip Replacements,’’ 36ème Congrès de la Société de Biomécanique, 20ème Congrès de la Société Française de Mécanique, Besançon, France, 31st August-2nd September, 2011.
    17. *M. T. Bah, M. Browne, P. G. Young, R. Bryan and V. Bui Xuan and D. Dunlop, ‘‘Effect of Implant Positioning in Cementless Total Hip Replacements: A New Computational Framework,’’ In Engineers and Surgeons: Joined at the Hip III, London, 1st-3rd November, 2011.
    18. H. Ozturk, M. T. Bah, P. B. Nair and M. Browne, ‘‘Stochastic modelling and prediction of cementless implant primary stability,’’ In Engineers and Surgeons: Joined at the Hip III London, 1st-3rd November, 2011.
    19. *M. T. Bah, P. B. Nair and M. Browne, ‘‘A Novel Computational Framework for Assessment of the Effect of Interfacial Gaps in Cementless Total Hip Replacements,’’ 6th World Congress on Biomechanics, 1-6th August, 2010.
    20. *H. Ozturk, M. T. Bah, P. B. Nair, M. Browne, ‘‘Does the implant pivot position affect the outputs of probabilistic analyses of the cementless total hip replacement ?,’’ 6th World Congress on Biomechanics, 1-6th August, 2010.
    21. *M. T. Bah, P. B. Nair and M. Browne, ‘‘Rapid Analysis of Implant Positioning Effects in Cementless Total Hip Replacements,’’ 17th Congress of the European Society of Biomechanics, 5-8th July 2010, University of Edinburgh, UK.
    22. H. Ozturk, P. B. Nair, M. T. Bah, S. L. Evans, A. M. H. Jones, M. Browne, ‘‘Computational and experimental assessment of primary stability of a cementless total hip replacement: The effect of the stem positioning,’’ 9th International Symposium in Biomechanics & Biomedical Engineering, Valencia, Spain, 24th-27th February, pp. 1-6, 2010.
    23. *M. T. Bah, P. B. Nair and M. Browne, ‘‘A Novel Computational Tool for the Analysis of Implant Positioning Effects in Cementless Total Hip Replacements,’’ 22nd Annual Congress of the International Society for Technology in Arthroplasty, 22-24th October 2009, Big Island, Hawaii.
    24. L. Mehrez, A. M. New, M. T. Bah, and M. Browne, M., ‘‘Comparative study of probabilistic methods applied to a 3D finite element model of a THR,’’ 5th World Congress of Biomechanics, Munich, July 29th-August 4th 2006.
    25. L. Mehrez, M. T. Bah, and M. Browne, ‘‘The application of probabilistic methods for assessment of hip replacement integrity,’’ 51st Annual Meeting of the Orthopaedic Research Society, Washington, D.C. 20th-23th February, 2005.
    26. L. Mehrez, M. T. Bah, and M. Browne, ‘‘Reliability Analysis: A New Approach to Assess the Performance of a Cemented Total Hip Replacement,’’ 7th International Conference on Engineering Structural Integrity Assessment, Manchester, UK, 20th-21st October, 2004.
    27. L. Mehrez, M. T. Bah, and M. Browne, ‘‘Reliability and Sensitivity Analyses of two simplified THR models,’’ 14th Annual Meeting of the European Orthopaedic Research Society, Amsterdam, Netherlands, 25th-27th November, 2004.
    28. *M. T. Bah, and M. Browne, ‘‘Failure of the cement mantle in hip implants: a probabilistic approach,’’ 50th Annual Meeting of the Orthopaedic Research Society, San Francisco, CA, 7th-10th March, 2004.
    29. *M. T. Bah, M. Browne, and A. M. New, ‘‘Probabilistic analysis of debonding process in cemented hip implants,’’ 6th International Symposium in Biomechanics & Biomedical Engineering, Madrid, Spain, 25th-28th February, Paper 94K, , pp. 1-6, 2004.
    30. *M. T. Bah, and M. Browne, ‘‘Probabilistic analysis of a cemented hip implant,’’ International Congress on Computational Bioengineering, Zaragoza, Spain, 24th-26th September, pp. 1-6, 2003.
    31. L. Mehrez, M. T. Bah, A.M. New and M. Browne, ‘‘Analysis of the migration problem in cemented hip implants using reliability methods,’’ International Congress on Computational Bioengineering, Zaragoza, Spain, 24th-26th September, pp. 1-5, 2003.
    32. *M. T. Bah, P. B. Nair, A. Bhaskar and A. J Keane, ‘‘Efficient Prediction of the Forced Response Statistics of Mistuned Cyclic Assemblies,’’ 8th International Conference on Recent Advances in Structural Dynamics, Southampton, UK, 14th-16th July 2003, pp. 1-14.
    33. *M. T. Bah, P. B. Nair, A. Bhaskar and A. J Keane, ‘‘Stochastic Component Mode Synthesis,’’ 44th AAIAA/ASME/ ASCE/ AHS/ASC Structures, Structural Dynamics, & Materials Conference, Norfolk, Virginia, 7th-10th April 2003, Paper 2003-1750, pp. 1-11.
    34. *M. T. Bah, P. B. Nair, A. Bhaskar and A. J Keane, ‘‘Statistical Analysis of the Forced Response of Mistuned Bladed Disks using Stochastic Reduced Basis Methods,’’ 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, & Materials Conference & Exhibit, Denver, Colorado, 21st-25th April 2002, Paper 2002-2534, pp. 1-10.
    35. *M. T. Bah, A. Bhaskar and A. J. Keane ‘‘Statistical Investigation of the Free Vibration of Mistuned Blade System,’’ VI US National Congress on Computational Mechanics, Dearborn, Michigan, 1st - 4th August 2001.
    36. *M. T. Bah, A. J. Keane and A. Bhaskar ‘‘Effects of Uncertainty in Root Fixity on Turbine Blade Free Vibration,’’ First M.I.T Conference on Computational Mechanics, Massachuchets, Boston, 12th-15th June 2001.
    37. K. H. Adjallah, M. T. Bah, C. A. O. Elegbede and T. K. Edarh-Bossou ‘‘Management of Maintainability Improvement during the Design of Manufacturing Systems,’’ International Conference on Industrial Logistics, St.-Petersburg, Russia, 28th-1st July 1999, 1-6.
    38. C. A. O. Elegbede, K. H. Adjallah and M. T. Bah ‘‘A fuzzy Approach to Allocate Reliability to Systems Components,’’ International Conference on Industrial Logistics, St.-Petersburg, Russia, 28th-1st July 1999, pp. 1-8.

Conference Papers: Not Refereed

1. *M. T. Bah, M. Browne, V. B. Xuan, R. Bryan, and P. Young, ‘‘The influence of stem positioning on bone strains in cementless total hip replacements,’’ In 2011 Simpleware Users Meeting, Bristol, UK, 09 Nov 2011.

2. *M. T. Bah, ‘‘Probabilistic Finite Element Analysis of Cement-Prosthesis Interface Failure,’’ DePuy University Technology Partnership Annual Meeting, Leeds, 28th -29th May 2004.

3. *M. T. Bah ‘‘Probabilistic Analysis of a Cemented Hip Implant,’’ Reliability Team Meeting, University of Cambridge, 19th February 2004.

4. *M. T. Bah and M. Browne ‘‘Failure Analysis of the Cement Mantle in Hip Joints: A Reliability Approach,’’ DePuy University Technology Partnership Annual Meeting, Leeds, 29th -30th May 2003.

5. M. Browne, M. T. Bah and L. Mehrez ‘‘Assessment of Structural Integrity of Load Bearing Implants: Reliability Analysis,’’ Reliability Team Meeting, University of Cambridge, Cambridge, 09th January 2003.

6. *M. T. Bah, ‘‘On Reduced Order Modelling,’’ BAe-RR University Technology Partnership for Design, Spring Conference, Bristol, March 2001. 

Other papers (Theses)

1. *M. T. Bah, ‘‘Reduced Order Modelling for Efficient Prediction of the Dynamics of Mistuned Bladed Discs,’’. PhD Thesis, University of Southampton. Viva date: September 2002.

2. *M. T. Bah, ‘‘Probabilistic Reliability of Dynamic Systems: Evaluation of Probabilities First Moments of Distribution,’’ Research Project Report, Universite de Technologie de Compiegne. Viva: 14th September 1998.

Consultancy Reports

1. *M. T. Bah and M. Browne, ‘‘Probabilistic Finite Element Analysis of the combined effects of bone cement thickness, bone cement Young's modulus and loading on the Performance of a PEEK Total Knee Arthroplasty (TKA) Femoral Component,’’ Invibio Material Solutions, 1-27, 2013.

2. *M. T. Bah, A. Dickinson and M. Browne, ‘‘Finite Element Analysis of the Effects of Bone Cement Young’s Modulus and Thickness on the Performance of a PEEK Total Knee Arthroplasty (TKA) Femoral Component,’’ Invibio Material Solutions, 1-16, 2012.

3. *M. T. Bah, Finite Element Analysis of a sensing device for pipeline pressure, Robbins & Myers Moyno. Computed displacements and stresses in the different parts (main body, end plates, sleeve, spigot) of the main assembly subjected to external pressure, 2009.

4. *M. T. Bah, A. New and I. Radcliffe, ‘‘Finite Element Contact Analysis of Two Mechanical Front End Sub-Assembly Design Options for Integrated Blood Sampling and Glucose Measurement System’’, Cambridge Design Partnership. Modelling of interaction between metal and skin type material, 2007.

5. *M. T. Bah and A. New. CAD Modelling and Finite Element contact analysis of contact lens mould assembly. Coopervision. Effects of radial interference between male and female mould components, Young’s Modulus of Polypropylene, Coefficient of Friction for polypropylene on polypropylene on assembly maximum Von Mises stress distribution and displacements, 1-29, 2006.

6. *M. T. Bah and A. New. Determination of maximum Finite Element stress failure point of thicknesses of various materials (Aluminium, Stainless Steel) with increasing radius of an axisymmetric bubble at atmospheric pressure. Pera Innovation, 1-5, 2006.

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