Skip to main content
Top
Published in: International Orthopaedics 5/2010

01-06-2010 | Original Paper

Computer simulation of stress distribution in the metatarsals at different inversion landing angles using the finite element method

Authors: Y. D. Gu, X. J. Ren, J. S. Li, M. J. Lake, Q. Y. Zhang, Y. J. Zeng

Published in: International Orthopaedics | Issue 5/2010

Login to get access

Abstract

Metatarsal fracture is one of the most common foot injuries, particularly in athletes and soldiers, and is often associated with landing in inversion. An improved understanding of deformation of the metatarsals under inversion landing conditions is essential in the diagnosis and prevention of metatarsal injuries. In this work, a detailed three-dimensional (3D) finite element foot model was developed to investigate the effect of inversion positions on stress distribution and concentration within the metatarsals. The predicted plantar pressure distribution showed good agreement with data from controlled biomechanical tests. The deformation and stresses of the metatarsals during landing at different inversion angles (normal landing, 10 degree inversion and 20 degree inversion angles) were comparatively studied. The results showed that in the lateral metatarsals stress increased while in the medial metatarsals stress decreased with the angle of inversion. The peak stress point was found to be near the proximal part of the fifth metatarsal, which corresponds with reported clinical observations of metatarsal injuries.
Literature
1.
go back to reference Ekrol I, Court-Brown CM (2004) Fractures of the base of the 5th metatarsal. The Foot 14:96–98CrossRef Ekrol I, Court-Brown CM (2004) Fractures of the base of the 5th metatarsal. The Foot 14:96–98CrossRef
2.
go back to reference Popovic N, Jalali A, Georis P, Gillet P (2005) Proximal fifth metatarsal diaphyseal stress fracture in football players. J Foot Ankle Surg 11:135–141CrossRef Popovic N, Jalali A, Georis P, Gillet P (2005) Proximal fifth metatarsal diaphyseal stress fracture in football players. J Foot Ankle Surg 11:135–141CrossRef
3.
go back to reference Milgrom C, Giladi M, Stein M, Kashtan H, Margulies JY, Chisin R (1985) Stress fractures in military recruits. A prospective study showing an unusually high incidence. J Bone Joint Surg Br 67:732–735PubMed Milgrom C, Giladi M, Stein M, Kashtan H, Margulies JY, Chisin R (1985) Stress fractures in military recruits. A prospective study showing an unusually high incidence. J Bone Joint Surg Br 67:732–735PubMed
4.
go back to reference Logan AJ, Dabke H, Finlay D, Makwana N (2007) Fifth metatarsal base fractures: a simple classification. J Foot Ankle Surg 13:30–34CrossRef Logan AJ, Dabke H, Finlay D, Makwana N (2007) Fifth metatarsal base fractures: a simple classification. J Foot Ankle Surg 13:30–34CrossRef
5.
go back to reference Mađarević M, Kolundžić R, Trkulja V, Mirković M, Pećina M (2009) Biomechanical analysis of functional adaptation of metatarsal bones in statically deformed feet. Int Orthop 33(1):157–163CrossRef Mađarević M, Kolundžić R, Trkulja V, Mirković M, Pećina M (2009) Biomechanical analysis of functional adaptation of metatarsal bones in statically deformed feet. Int Orthop 33(1):157–163CrossRef
6.
go back to reference Raikin SM, Slenker N, Ratigan B (2008) The association of a varus hindfoot and fracture of the fifth metatarsal metaphyseal-diaphyseal junction: the Jones fracture. Am J Sports Med 36(7):1367–1372CrossRefPubMed Raikin SM, Slenker N, Ratigan B (2008) The association of a varus hindfoot and fracture of the fifth metatarsal metaphyseal-diaphyseal junction: the Jones fracture. Am J Sports Med 36(7):1367–1372CrossRefPubMed
7.
go back to reference Watson AWS (1999) Ankle sprains in players of the field-games Gaelic football and hurling. Sports Med Phys Fitness 36:66–70 Watson AWS (1999) Ankle sprains in players of the field-games Gaelic football and hurling. Sports Med Phys Fitness 36:66–70
8.
go back to reference Pontaga I (2004) Ankle joint evertor–invertor muscle torque ratio decrease due to recurrent lateral ligament sprains. Clin Biomech 19:760–762CrossRef Pontaga I (2004) Ankle joint evertor–invertor muscle torque ratio decrease due to recurrent lateral ligament sprains. Clin Biomech 19:760–762CrossRef
9.
go back to reference De Cock A, De Clercq D, Willems T, Witvrouw E (2005) Temporal characteristics of foot roll-over during barefoot jogging: reference data for young adults. Gait Posture 21:432–439CrossRefPubMed De Cock A, De Clercq D, Willems T, Witvrouw E (2005) Temporal characteristics of foot roll-over during barefoot jogging: reference data for young adults. Gait Posture 21:432–439CrossRefPubMed
10.
go back to reference Grimston SK, Nigg BM, Fisher V, Ajemian SV (1994) External loads throughout a 45-minute run in stress fracture and non-stress fracture runners. J Biomech 27:668CrossRef Grimston SK, Nigg BM, Fisher V, Ajemian SV (1994) External loads throughout a 45-minute run in stress fracture and non-stress fracture runners. J Biomech 27:668CrossRef
11.
go back to reference Bennell K, Crossley K, Jayarajan J (2004) Ground reaction forces and bone parameters in females with tibial stress fracture. Med Sci Sports Exerc 36:397–404CrossRefPubMed Bennell K, Crossley K, Jayarajan J (2004) Ground reaction forces and bone parameters in females with tibial stress fracture. Med Sci Sports Exerc 36:397–404CrossRefPubMed
12.
go back to reference Wright IC, Neptune RR, van den Bogert AJ, Nigg BM (2000) The influence of foot positioning on ankle sprains. J Biomech 33:513–519CrossRefPubMed Wright IC, Neptune RR, van den Bogert AJ, Nigg BM (2000) The influence of foot positioning on ankle sprains. J Biomech 33:513–519CrossRefPubMed
13.
go back to reference Raspovic A, Newcombe L, Lloyd J, Dalton E (2000) Effect of customized insoles on vertical plantar pressures in sites of previous neuropathic ulceration in the diabetic foot. The Foot 10:133–138CrossRef Raspovic A, Newcombe L, Lloyd J, Dalton E (2000) Effect of customized insoles on vertical plantar pressures in sites of previous neuropathic ulceration in the diabetic foot. The Foot 10:133–138CrossRef
14.
go back to reference Bus SA, de Lange A (2005) A comparison of the 1-step, 2-step, and 3-step protocols for obtaining barefoot plantar pressure data in the diabetic neuropathic foot. Clin Biomech 20:892–899CrossRef Bus SA, de Lange A (2005) A comparison of the 1-step, 2-step, and 3-step protocols for obtaining barefoot plantar pressure data in the diabetic neuropathic foot. Clin Biomech 20:892–899CrossRef
15.
go back to reference Gefen A, Megido-Ravid M, Itzchak Y, Arcan M (2000) Biomechanical analysis of the three-dimensional foot structure during gait: a basic tool for clinical applications. J Biomech Eng 122:630–639CrossRefPubMed Gefen A, Megido-Ravid M, Itzchak Y, Arcan M (2000) Biomechanical analysis of the three-dimensional foot structure during gait: a basic tool for clinical applications. J Biomech Eng 122:630–639CrossRefPubMed
16.
go back to reference Chen WP, Tang FT, Ju CW (2001) Stress distribution of the foot during mid-stance to push-off in barefoot gait: a 3-D finite element analysis. Clin Biomech 16:614–620CrossRef Chen WP, Tang FT, Ju CW (2001) Stress distribution of the foot during mid-stance to push-off in barefoot gait: a 3-D finite element analysis. Clin Biomech 16:614–620CrossRef
17.
go back to reference Cheung JT, Zhang M, An K (2005) A 3-dimensional finite element model of the human foot and ankle for insole design. Arch Phys Med Rehabil 86:353–358CrossRefPubMed Cheung JT, Zhang M, An K (2005) A 3-dimensional finite element model of the human foot and ankle for insole design. Arch Phys Med Rehabil 86:353–358CrossRefPubMed
18.
go back to reference Wu LJ (2007) Nonlinear finite element analysis for musculoskeletal biomechanics of medial and lateral plantar longitudinal arch of Virtual Chinese Human after plantar ligamentous structure failures. Clin Biomech 22:221–229CrossRef Wu LJ (2007) Nonlinear finite element analysis for musculoskeletal biomechanics of medial and lateral plantar longitudinal arch of Virtual Chinese Human after plantar ligamentous structure failures. Clin Biomech 22:221–229CrossRef
19.
go back to reference Gefen A (2003) Plantar soft tissue loading under the medial metatarsals in the standing diabetic foot. Med Eng Phys 25:491–499CrossRefPubMed Gefen A (2003) Plantar soft tissue loading under the medial metatarsals in the standing diabetic foot. Med Eng Phys 25:491–499CrossRefPubMed
20.
go back to reference Gu YD, Li JS (2005) Finite element analysis of the instep fatigue trauma in the high-heeled gait. World J Model Simul 2:117–122 Gu YD, Li JS (2005) Finite element analysis of the instep fatigue trauma in the high-heeled gait. World J Model Simul 2:117–122
21.
go back to reference Yu J, Cheung JT, Fan Y, Zhang Y, Leung AK, Zhang M (2008) Development of a finite element model of female foot for high-heeled shoe design. Clin Biomech 23:31–38CrossRef Yu J, Cheung JT, Fan Y, Zhang Y, Leung AK, Zhang M (2008) Development of a finite element model of female foot for high-heeled shoe design. Clin Biomech 23:31–38CrossRef
22.
go back to reference Erdemir A, Viveiros ML, Cavanagh PR (2003) A numerical experimental approach for characterising subject specific hyperelastic properties of the heel pad. In: Proceedings of the American Society of Mechanical Engineers Summer Bioengineering Conference. Key Biscayne, FL Erdemir A, Viveiros ML, Cavanagh PR (2003) A numerical experimental approach for characterising subject specific hyperelastic properties of the heel pad. In: Proceedings of the American Society of Mechanical Engineers Summer Bioengineering Conference. Key Biscayne, FL
23.
go back to reference Goske S, Erdemir A, Petre M, Budhabhatti S, Cavanagh PR (2006) Reduction of plantar heel pressures: Insole design using finite element analysis. J Biomech 39:2363–2370CrossRefPubMed Goske S, Erdemir A, Petre M, Budhabhatti S, Cavanagh PR (2006) Reduction of plantar heel pressures: Insole design using finite element analysis. J Biomech 39:2363–2370CrossRefPubMed
24.
go back to reference Jacob S, Patil MK (1999) Stress analysis in three-dimensional foot models of normal and diabetic neuropathy. Front Med Biol Eng 9:211–227PubMed Jacob S, Patil MK (1999) Stress analysis in three-dimensional foot models of normal and diabetic neuropathy. Front Med Biol Eng 9:211–227PubMed
25.
go back to reference Platzer W (2002) Color atlas and textbook of human anatomy locomotor system, 5th ed. Thieme, New York Platzer W (2002) Color atlas and textbook of human anatomy locomotor system, 5th ed. Thieme, New York
26.
go back to reference Clapper M, O’Brien T, Lyons P (1995) Fractures of the fifth metatarsal: analysis of a fracture registry. Clin Orthop 315:238–241PubMed Clapper M, O’Brien T, Lyons P (1995) Fractures of the fifth metatarsal: analysis of a fracture registry. Clin Orthop 315:238–241PubMed
27.
go back to reference Cheung JTM, Zhang M, An K, Fan YB (2005) Three-dimensional finite element analysis of the foot during standing—a material sensitivity study. J Biomech 38:1045–1054CrossRefPubMed Cheung JTM, Zhang M, An K, Fan YB (2005) Three-dimensional finite element analysis of the foot during standing—a material sensitivity study. J Biomech 38:1045–1054CrossRefPubMed
28.
go back to reference Ledoux WR, Blevins JJ (2007) The compressive material properties of the plantar soft tissue. J Biomeca 40:2975–2981CrossRef Ledoux WR, Blevins JJ (2007) The compressive material properties of the plantar soft tissue. J Biomeca 40:2975–2981CrossRef
29.
go back to reference Lemmon D, Shiang TY, Hashmi A, Ulbrecht JS, Cavanagh PR (1997) The effect of insoles in therapeutic footwear: a finite element approach. J Biomech 30:615–620CrossRefPubMed Lemmon D, Shiang TY, Hashmi A, Ulbrecht JS, Cavanagh PR (1997) The effect of insoles in therapeutic footwear: a finite element approach. J Biomech 30:615–620CrossRefPubMed
30.
go back to reference Lehman R, Torg J, Pavlov H, DeLee J (1987) Fractures of the base of the fifth metatarsal distal to the tuberosity: a review. Foot Ankle 7:245–252PubMed Lehman R, Torg J, Pavlov H, DeLee J (1987) Fractures of the base of the fifth metatarsal distal to the tuberosity: a review. Foot Ankle 7:245–252PubMed
31.
go back to reference Weinfeld SB, Haddad SL, Myerson MS (1997) Metatarsal stress fractures. Clin Sports Med 16:319–338CrossRefPubMed Weinfeld SB, Haddad SL, Myerson MS (1997) Metatarsal stress fractures. Clin Sports Med 16:319–338CrossRefPubMed
32.
go back to reference LaBella CR (2007) Common acute sports-related lower extremity injuries in children and adolescents. Clin Pediat Emerg Med 1:31–42CrossRef LaBella CR (2007) Common acute sports-related lower extremity injuries in children and adolescents. Clin Pediat Emerg Med 1:31–42CrossRef
33.
go back to reference Torg JS, Balduini FC, Zelko RR (1984) Fractures at the base of the fifth metatarsal distal to the tuberosity: classification and guidelines for non-surgical and surgical management. J Bone Joint Surg 66:209–214PubMed Torg JS, Balduini FC, Zelko RR (1984) Fractures at the base of the fifth metatarsal distal to the tuberosity: classification and guidelines for non-surgical and surgical management. J Bone Joint Surg 66:209–214PubMed
34.
go back to reference Zelko AR, Torg JS, Rachun A (1979) Proximal diaphyseal fractures of the fifth metatarsal-treatment of the fractures and their complications in athletes. Am J Sports Med 7:95–101CrossRefPubMed Zelko AR, Torg JS, Rachun A (1979) Proximal diaphyseal fractures of the fifth metatarsal-treatment of the fractures and their complications in athletes. Am J Sports Med 7:95–101CrossRefPubMed
35.
go back to reference Richli WR, Rosenthal DJ (1984) Avulsion fractures of the fifth metatarsal: experimental study of patho-mechanics. Am J Roentgenol 145:889–891 Richli WR, Rosenthal DJ (1984) Avulsion fractures of the fifth metatarsal: experimental study of patho-mechanics. Am J Roentgenol 145:889–891
36.
go back to reference Pao D, Keats T, Dussault R (2000) Avulsion fracture of the base of the fifth metatarsal not seen on conventional radiography of the foot: the need for an additional projection. AJR Am J Roentgenol 175:549–552PubMed Pao D, Keats T, Dussault R (2000) Avulsion fracture of the base of the fifth metatarsal not seen on conventional radiography of the foot: the need for an additional projection. AJR Am J Roentgenol 175:549–552PubMed
Metadata
Title
Computer simulation of stress distribution in the metatarsals at different inversion landing angles using the finite element method
Authors
Y. D. Gu
X. J. Ren
J. S. Li
M. J. Lake
Q. Y. Zhang
Y. J. Zeng
Publication date
01-06-2010
Publisher
Springer-Verlag
Published in
International Orthopaedics / Issue 5/2010
Print ISSN: 0341-2695
Electronic ISSN: 1432-5195
DOI
https://doi.org/10.1007/s00264-009-0856-4

Other articles of this Issue 5/2010

International Orthopaedics 5/2010 Go to the issue