Display options
Share it on

Comput Methods Appl Mech Eng. 2015 Aug 15;293:328-347. doi: 10.1016/j.cma.2015.05.006.

Isogeometric Kirchhoff-Love shell formulations for biological membranes.

Computer methods in applied mechanics and engineering

Adrián Buganza Tepole, Hardik Kabaria, Kai-Uwe Bletzinger, Ellen Kuhl

Affiliations

  1. Department of Mechanical Engineering, Stanford University, 496 Lomita Mall, Stanford, CA 94305, USA.
  2. Lehrstuhl für Statik, Technische Universität München, Arcisstr. 21, München 80333, Germany.

PMID: 26251556 PMCID: PMC4522709 DOI: 10.1016/j.cma.2015.05.006

Abstract

Computational modeling of thin biological membranes can aid the design of better medical devices. Remarkable biological membranes include skin, alveoli, blood vessels, and heart valves. Isogeometric analysis is ideally suited for biological membranes since it inherently satisfies the

Keywords: Kirchhoff-Love kinematics; biological membranes; isogeometric analysis; thin shells

References

  1. Comput Struct. 2014 Sep 1;143:32-39 - PubMed
  2. J Mech Phys Solids. 2011 Oct 1;59(10):2177-2190 - PubMed
  3. J Biomech Eng. 1992 Nov;114(4):461-6 - PubMed
  4. J Biomech. 2007;40(3):705-11 - PubMed
  5. J Biomech Eng. 1998 Feb;120(1):38-47 - PubMed
  6. Biomech Model Mechanobiol. 2014 Aug;13(4):759-70 - PubMed
  7. Comput Mech. 2014 Oct;54(4):1055-1071 - PubMed
  8. J R Soc Interface. 2006 Feb 22;3(6):15-35 - PubMed
  9. Biophys J. 1973 Mar;13(3):245-64 - PubMed
  10. Biomech Model Mechanobiol. 2010 Oct;9(5):651-8 - PubMed
  11. Ann Biomed Eng. 2007 Jan;35(1):30-44 - PubMed
  12. Ann Biomed Eng. 2011 Jul;39(7):1935-46 - PubMed
  13. Biomech Model Mechanobiol. 2005 Nov;4(2-3):190-9 - PubMed
  14. J Theor Biol. 2012 Mar 21;297:166-75 - PubMed
  15. ASAIO J. 1999 Jan-Feb;45(1):59-63 - PubMed
  16. Ann Biomed Eng. 2012 Aug;40(8):1666-78 - PubMed
  17. Acta Biomater. 2014 Nov;10(11):4822-31 - PubMed
  18. Ann Biomed Eng. 2002 Nov-Dec;30(10):1281-90 - PubMed
  19. Biomech Model Mechanobiol. 2015 Oct;14 (5):1007-19 - PubMed
  20. Acta Biomater. 2013 Apr;9(4):5926-42 - PubMed
  21. J Biomech Eng. 2003 Feb;125(1):100-5 - PubMed
  22. J Biomech. 2014 Jun 27;47(9):2043-54 - PubMed
  23. J Biomech. 2011 Apr 7;44(6):1149-57 - PubMed
  24. Int J Non Linear Mech. 2012 Oct;47(8):938-949 - PubMed
  25. Biomech Model Mechanobiol. 2013 Oct;12(5):1053-71 - PubMed
  26. Comput Methods Biomech Biomed Engin. 1998;1(3):171-210 - PubMed

Publication Types

Grant support