Parametric representation of weld fillets using shell finite elements—a proposal based on minimum stiffness and inertia errors

References

• ABS. 2003. Guide for the Fatigue Assessment of Offshore Structures. New York: American Bureau of Shipping.
   Google Scholar
• ABS. 2012. The History of the American Bureau of Shipping. 150th Anniversary. New York: American Bureau of Shipping.
   Google Scholar
• ANSYS®. 2012. ANSYS Mechanical APDL Product Release 13.0 (2012). Canonsburg, PA: Ansys Inc.
   Google Scholar
• ASM Internationalő Handbook Committee. 1990. Properties and Selection. Volume 01—Properties and Selection: Irons, Steels, and High-Performance Alloys. In ASM Handbook. Almere, The Netherlands: Advanced Semiconductor Materials International.
   Google Scholar
• Aygül, Mustafa. 2012. Fatigue Analysis of Welded Structures Using the Finite Element Method. Gothenburg: LAP Lambert Academic Publishing.
   Google Scholar
• Cary, Howard B. 1979. Modern Welding Technology. Upper Saddle River, NJ: Prentice-Hall.
   Google Scholar
• Dantzig, G. B., and Mukund N. Thapa. 1997. Linear Programming 1: Introduction. New York: Springer.
   Google Scholar
• Doerk, Olaf, Wolfgang Fricke, and Christian Weissenborn. 2003. “Comparison of Different Calculation Methods for Structural Stresses at Welded Joints.” International Journal of Fatigue 25 (5): 359–369. doi: 10.1016/S0142-1123(02)00167-6
   Web of Science ®Google Scholar
• Dong, P. 2001. “A Structural Stress Definition and Numerical Implementation for Fatigue Analysis of Welded Joints.” International Journal of Fatigue 23 (10): 865–876. doi: 10.1016/S0142-1123(01)00055-X
   Web of Science ®Google Scholar
• Eriksson, Å., and A. M. Lignell. 2003. Weld Evaluation Using FEM: A Guide to Fatigue-Loaded Structures. Stockholm: Industrilitteratur.
   Google Scholar
• Fayard, J.-L, A. Bignonnet, and K. Dang Van. 1997. “Fatigue Design of Welded Thin Sheet Structures.” European Structural Integrity Society 22: 145–152. doi: 10.1016/S1566-1369(97)80015-5.
   Google Scholar
• Fermér, Mikael, Magnus Andréasson, and Björn Frodin. 1998. “Fatigue Life Prediction of MAG-Welded Thin-Sheet Structures.” In SAE Conference Proceedings, 49–56. Society of Automative Engineers Technical Paper 982311. doi: 10.4271/982311.
   Google Scholar
• Fricke, Wolfgang. 2001. “Recommended Hot Spot Analysis Procedure for Structural Details of FPSO's and Ships Based on Round-Robin FE Analyses.” In Proceedings of the 11th International Offshore and Polar Engineering Conference, 89–96. Stavanger, Norway. http://www.isope.org/publications/proceedings/ISOPE/ISOPE%202001/pdffiles/papers/353.pdf.
   Google Scholar
• Fricke, Wolfgang. 2003. “Fatigue Analysis of Welded Joints: State of Development.” Marine Structures 16 (3): 185–200. doi: 10.1016/S0951-8339(02)00075-8
   Web of Science ®Google Scholar
• Hobbacher, Adolf. 2009. Recommendations for Fatigue Design of Welded Joints and Components. New York: Welding Research Council.
   Google Scholar
• MATLAB®. 2011. Version 7.12.0.635 (R2011a). Natick, MA: The MathWorks.
   Google Scholar
• Matoba, M., T. Kawasaki, T. Fuji, and T. Yamauchi. 1983. “Evaluation of Fatigue Strength of Welded Steel Structures—Hull's Members, Hollow Section Joints, Piping and Vessel Joints.” In IIW-Doc. XIII-1082-83. Nashville: International Institute of Welding.
   Google Scholar
• Mehrotra, Sanjay. 1992. “On the Implementation of a Primal-Dual Interior Point Method.” SIAM Journal on Optimization 2 (4): 575–601. doi: 10.1137/0802028.
   Web of Science ®Google Scholar
• Niemi, Erkki, ed. 1995. Stress Determination for Fatigue Analysis of Welded Components. Series in Welding and Other Joining Technologies. Cambridge, UK: Abington Publishing.
   Google Scholar
• Niemi, E., W. Fricke, and S. J. Maddox. 2006. Fatigue Analysis of Welded Components: Designer's Guide to the Structural Hot-Spot Stress Approach. Series in Welding and Other Joining Technologies. Cambridge, UK: Woodhead Publishing.
   Google Scholar
• Nocedal, J., and S. Wright. 2006. Numerical Optimization. Series in Operations Research and Financial Engineering. New York: Springer.
   Google Scholar
• Radaj, D. 1990. Design and Analysis of Fatigue Resistant Welded Structures. Series in Welding and Other Joining Technologies. Cambridge, UK: Woodhead Publishing.
   Google Scholar
• Radaj, D., C. M. Sonsino, and W. Fricke. 2006. Fatigue Assessment of Welded Joints by Local Approaches. Woodhead Publishing Series in Welding and Other Joining Technologies. Cambridge, UK: Woodhead Publishing.
   Google Scholar
• Radaj, D., C. M. Sonsino, and W. Fricke. 2009. “Recent Developments in Local Concepts of Fatigue Assessment of Welded Joints.” International Journal of Fatigue 31 (1): 2–11. doi: 10.1016/j.ijfatigue.2008.05.019
   Web of Science ®Google Scholar
• Teng, Tso-Liang., Chin-Ping. Fung, Peng-Hsiang. Chang, and Wei-Chun. Yang. 2001. “Analysis of Residual Stresses and Distortions in T-Joint Fillet Welds.” International Journal of Pressure Vessels and Piping 78 (8): 523–538. doi: 10.1016/S0308-0161(01)00074-6
   Web of Science ®Google Scholar
• Zienkiewicz, Olgierd Cecil., and Robert Leroy. Taylor. 2000. The Finite Element Method: Solid Mechanics. Vol. 2. Oxford: Butterworth-Heinemann.
   Google Scholar