10 Finite Element Algorithms for Computational Biomechanics of the Brain
269
specific finite element meshes [73] and deterioration of the solution accuracy when
the elements undergo distortion induced by large deformations. As a solution
for overcoming these limitations, we advocate meshless algorithms in which the
computational grid has the form of a ‘cloud’ of points [74–78]. Such algorithms are
discussed in Chap. 11.
Acknowledgements This chapter uses the published results of research supported by the funding from the Australian Government through the Australian Research Council (ARC) (grants
DP0343112, DP0664534, DP1092893, and LX0560460), National Health and Medical Research
Council (NHMRC) (project grants no. APP1006031 and APP1144519) and National Institutes of
Health (NIH) (grant 1-R03-CA126466-01A1). We also acknowledge funding from the Australian
Government through the Australian Research Council (Discovery Project grant DP160100714).
We thank our collaborators Dr. Ron Kikinis and Dr. Simon K. Warfield of Harvard Medical
School (Boston, MA, USA) and Dr. Kiyoyuki Chinzei and Dr. Toshikatsu Washio of Surgical
Assist Technology Group of AIST (Tsukuba, Japan) for help in various aspects of this work.
References
1. Fressmann, D., Munz, T., Graf, O., Schweizerhof, K.: FE human modelling in crash — aspects
of the numerical modelling and current applications in the automotive industry. In: DYNAmore
GmbH, Frankthenhal, pp. F-I-23 – F-I-34 (2007)
2. Takhounts, E.G., Eppinger, R.H., Campbell, J.Q., Tannous, R.E., Power, E.D., Shook, L.S.:
On the development of the SIMon finite element head model. Stapp Car Crash J. 47, 107–133
(2003)
3. Belytschko, T., Liu, W.K., Moran, B.: Nonlinear Finite Elements for Continua and Structures.
Wiley, Chichester (2006)
4. Bathe, K.-J.: Finite Element Procedures. Prentice-Hall, Upper Saddle River, NJ, USA (1996)
5. Livermore Software Technology Coporation LSTC: LS-DYNA Theory Manual, http://
www.lstc.com/download/manuals (2018)
6. Pacific Engineering Systems International (ESI): PAM-SAFE http://www.esi.com.au/
Software/PAM-SAFE.html (2018)
7. Altair: RADIOSS Technical Papers, https://altairhyperworks.com/ResourceLibrary.aspx? category=Technical%20Papers&altair_products=RADIOSS (2018)
8. Dassault Systèmes Simulia Corporation: SIMULIA User Assistance 2018: ABAQUS (2018)
9. Baumann, R., Glauser, D., Tappy, D., Baur, C., Clavel, R.: Force feedback for virtual reality
based minimally invasive surgery simulator. Stud. Health Technol. Inform. 29, 564–579 (1996)
10. Cover, S.A., Ezquerra, N.F., O’Brien, J.F., Rowe, R., Gadacz, T., Palm, E.: Interactively
deformable models for surgery simulation. Computer Graphics and Applications, IEEE. 13,
68–75 (1993)
11. Kuhnapfel, U., Çakmak, H.K., Maaß, H.: Endoscopic surgery training using virtual reality and
deformable tissue simulation. Comput. Graph. 24, 671–682 (2000)
12. Nimura, Y., Di Qu, J., Hayashi, Y., Oda, M., Kitasaka, T., Hashizume, M., Misawa, K., Mori,
K.: Pneumoperitoneum simulation based on mass-spring-damper models for laparoscopic
surgical planning. J. Med. Imag. 2, 044004 (2015)
13. Cotin, S., Delingette, H., Ayache, N.: A hybrid elastic model for real-time cutting, deformations, and force feedback for surgery training and simulation. Vis. Comput. 16, 437–452 (2000)
14. Bro-Nielsen, M.: Finite element modeling in surgery simulation. Proc. IEEE. 86, 490–503
(1998)
269
specific finite element meshes [73] and deterioration of the solution accuracy when
the elements undergo distortion induced by large deformations. As a solution
for overcoming these limitations, we advocate meshless algorithms in which the
computational grid has the form of a ‘cloud’ of points [74–78]. Such algorithms are
discussed in Chap. 11.
Acknowledgements This chapter uses the published results of research supported by the funding from the Australian Government through the Australian Research Council (ARC) (grants
DP0343112, DP0664534, DP1092893, and LX0560460), National Health and Medical Research
Council (NHMRC) (project grants no. APP1006031 and APP1144519) and National Institutes of
Health (NIH) (grant 1-R03-CA126466-01A1). We also acknowledge funding from the Australian
Government through the Australian Research Council (Discovery Project grant DP160100714).
We thank our collaborators Dr. Ron Kikinis and Dr. Simon K. Warfield of Harvard Medical
School (Boston, MA, USA) and Dr. Kiyoyuki Chinzei and Dr. Toshikatsu Washio of Surgical
Assist Technology Group of AIST (Tsukuba, Japan) for help in various aspects of this work.
References
1. Fressmann, D., Munz, T., Graf, O., Schweizerhof, K.: FE human modelling in crash — aspects
of the numerical modelling and current applications in the automotive industry. In: DYNAmore
GmbH, Frankthenhal, pp. F-I-23 – F-I-34 (2007)
2. Takhounts, E.G., Eppinger, R.H., Campbell, J.Q., Tannous, R.E., Power, E.D., Shook, L.S.:
On the development of the SIMon finite element head model. Stapp Car Crash J. 47, 107–133
(2003)
3. Belytschko, T., Liu, W.K., Moran, B.: Nonlinear Finite Elements for Continua and Structures.
Wiley, Chichester (2006)
4. Bathe, K.-J.: Finite Element Procedures. Prentice-Hall, Upper Saddle River, NJ, USA (1996)
5. Livermore Software Technology Coporation LSTC: LS-DYNA Theory Manual, http://
www.lstc.com/download/manuals (2018)
6. Pacific Engineering Systems International (ESI): PAM-SAFE http://www.esi.com.au/
Software/PAM-SAFE.html (2018)
7. Altair: RADIOSS Technical Papers, https://altairhyperworks.com/ResourceLibrary.aspx? category=Technical%20Papers&altair_products=RADIOSS (2018)
8. Dassault Systèmes Simulia Corporation: SIMULIA User Assistance 2018: ABAQUS (2018)
9. Baumann, R., Glauser, D., Tappy, D., Baur, C., Clavel, R.: Force feedback for virtual reality
based minimally invasive surgery simulator. Stud. Health Technol. Inform. 29, 564–579 (1996)
10. Cover, S.A., Ezquerra, N.F., O’Brien, J.F., Rowe, R., Gadacz, T., Palm, E.: Interactively
deformable models for surgery simulation. Computer Graphics and Applications, IEEE. 13,
68–75 (1993)
11. Kuhnapfel, U., Çakmak, H.K., Maaß, H.: Endoscopic surgery training using virtual reality and
deformable tissue simulation. Comput. Graph. 24, 671–682 (2000)
12. Nimura, Y., Di Qu, J., Hayashi, Y., Oda, M., Kitasaka, T., Hashizume, M., Misawa, K., Mori,
K.: Pneumoperitoneum simulation based on mass-spring-damper models for laparoscopic
surgical planning. J. Med. Imag. 2, 044004 (2015)
13. Cotin, S., Delingette, H., Ayache, N.: A hybrid elastic model for real-time cutting, deformations, and force feedback for surgery training and simulation. Vis. Comput. 16, 437–452 (2000)
14. Bro-Nielsen, M.: Finite element modeling in surgery simulation. Proc. IEEE. 86, 490–503
(1998)