Analog studies of forces in the human spine:​ computational techniques

Belytschko, T. B.; Andriacchi, T. P.; Schultz, A. B.; Galante, J. O.

Affiliations

¹Department of Materials Engineering, University of Illinois at Chicago Circle, Chicago, Illinois, U.S.A.

²Department of Orthopaedic Surgery. Presbyterian-St. Luke’s Hospital, Chicago, Illinois, U.S.A.

Abstract

A mathematical model is developed for a three-dimensional force analysis of the human vertebral column. The vertebrae are idealized as rigid bodies, while the discs, ligaments, and connective tissues are represented by deformable elements. An incremental stiffness method which accounts for nonlinearities due to large displacements is used. Preliminary results are presented for the behavior of an isolated, ligamentous column under traction, lateral loads, and compressive loads which result in buckling.

Links

DOI: 10.1016/0021-9290(73)90096-1

PubMed: 4732936

WoS: A1973Q160700004

History

Received: 1972-04-14

Cited Works (2)

Year	Entry
1971	Orne D, Liu YK. A mathematical model of spinal response to impact. J Biomech. 1971;4(1):49-71.
1970	Roberts SB, Chen PH. Elastostatic analysis of the human thoracic skeleton. J Biomech. November 1970;3(6):527-545.

Cited By (30)

Year	Entry
1990	Dietrich M, Kedzior K, Zagrajek T. Modeling of muscle action and stability of the human spine. In: Winters JM, Woo SL-Y, eds. Multiple Muscle Systems: Biomechanics and Movement Organization. New York, NY: Springer-Verlag; 1990:451-460.
1993	de Jager M. Mathematical modelling of the human cervical spine: a survey of the literature. In: Proceedings of the 1993 International IRCOBI Conference on the Biomechanics of Impact. September 8-10, 1993; Eindhoven, The Netherlands.213-227.
1994	Matsushita T, Sato TB, Hirabayashi K, Fujimura S, Asazuma T, Takatori T. X-ray study of the human neck motion due to head inertia loading. In: Proceedings of the 38th Stapp Car Crash Conference. October 31–November 2, 1994; Fort Lauderdale, FL. Warrendale, PA: Society of Automotive Engineers:55-64. SAE 942208.
1998	Yang KH, Zhu F, Luan F, Zhao L, Begeman PC. Development of a finite element model of the human neck. In: Proceedings of the 42nd Stapp Car Crash Conference. November 2-4, 1998; Tempa, AZ. Warrendale, PA: Society of Automotive Engineers:195-205. SAE 983157.
1974	Prasad P, King AI. An experimentally validated dynamic model of the spine. J Appl Mech. September 1974;41(3):546-550.
1974	Andriacchi T, Schultz A, Belytschko T, Galante J. A model for studies of mechanical interactions between the human spine and rib cage. J Biomech. November 1974;7(6):497-507.
1976	Panjabi MM, Brand RA Jr, White AA III. Three-dimensional flexibility and stiffness properties of the human thoracic spine. J Biomech. 1976;9(4):185-192.
1976	Kulak RF, Belytschko TB, Schultz AB, Galante JO. Nonlinear behavior of the human intervertebral disc under axial load. J Biomech. 1976;9(6):377-386.
1983	Andriacchi TP, Mikosz R., Hampton SJ, Galante JO. Model studies of the stiffness characteristics of the human knee joint. J Biomech. 1983;16(1):23-29.
1988	Chen J, Siegler S, Schneck CD. The three-dimensional kinematics and flexibility characteristics of the human ankle and subtalar joint, II: flexibility characteristics. J Biomech Eng. November 1988;110(4):374-385.
1980	Panjabi MM, White AA III. Basic biomechanics of the spine. Neurosurgery. July 1980;7(1):76-93.
1982	Sandover J. Measurement of the Frequency Response Characteristics of Man Exposed to Vibration [PhD thesis]. Loughborough, UK: Loughborough University of Technology; October 1982.
1985	Yoganandan N. Mechanical Factors and the Threshold of Trauma of the Intervertebral Joint: A Finite Element Analysis With Experimental Validation [PhD thesis]. Marquette University; December 1985.
1981	Tencer A. The Mechanical Properties of the Human Lumbar Spine [PhD thesis]. McGill University; April 1981.
1997	Duncan NA. The Mechanics of Curve Progression in Adolescent Idiopathic Scoliosis [PhD thesis]. McGill University; February 1997.
2003	Alderink GJ. Three-Dimensional Kinematic Analysis of the Thorax in Standing and Sitting [PhD thesis]. East Lansing, MI: Michigan State University; 2003.
1995	Aubin C-E. Rôle biomécanique de la cage thoracique dans le traitement de la scoliose par orthèse [PhD thesis]. École polytechnique de Montréal; September 1995.
1998	Sadouk S. Analyse mécanique par éléments finis du système actif-passif de la colonne lombaire humaine [Master's thesis]. École polytechnique de Montréal; October 1998.
2014	El Ouaaid Z. L'effet des charges externes sur la biomécanique et la stabilité de la colonne vertébrale en posture debout [PhD thesis]. École polytechnique de Montréal; July 2014.
2015	Shahvarpour A. Biomechanical Response of Trunk Under Perturbations and in Challenged Seated Balance [PhD thesis]. École polytechnique de Montréal; November 2015.
1974	Andriacchi TP. A Model for Studies of Mechanical Interactions Between the Human Spine and Rib Cage [PhD thesis]. University of Illinois at Chicago Circle; February 1974.
1988	Wynarsky GT. Biomechanics of Bracing in Idiopathic Scoliosis [PhD thesis]. University of Michigan; 1988.
1993	Cholewicki J. Mechanical Stability of the in Vivo Lumbar Spine [PhD thesis]. University of Waterloo; 1993.
2002	Grenier SG. Stabilization Strategies of the Lumbar Spine in Vivo [PhD thesis]. University of Waterloo; 2002.
1985	Yang KH. An Experimental and Analytical Study of the Mechanism of Facet Load Transmission [PhD thesis]. Detroit, MI: Wayne State University; May 1985.
2005	Cao KD. Development of a 4-Vertebrae, Detailed Finite Element Model of Thoracolumbar Spine [PhD thesis]. Detroit, MI: Wayne State University; August 2005.
2007	Hu J. Neck Injury Mechanism in Rollover Crashes: A Systematic Approach for Improving Rollover Neck Protection [PhD thesis]. Detroit, MI: Wayne State University; 2007.
1996	Choi H. Muscle Forces and Spinal Loads in the Human Neck: An EMG Experiment and a Comparison of Three Modeling Methods [PhD thesis]. University of Wisconsin – Madison; 1996.
1996	Kim Y. A Finite-Element Study of Intervertebral Cages and Spinal Bone Remodeling [PhD thesis]. University of Wisconsin – Madison; 1996.
1989	Crisco JJ III. The Biomechanical Stability of the Human Lumbar Spine: Experimental and Theoretical Investigations [PhD thesis]. Yale University; May 1989.