Constitutive formulation and analysis of heel pad tissues mechanics

Medical Engineering and Physics

Volumn 32, Issue 5, 2010, Pages 516-522

  Natali, A N ^a   Fontanella, C G ^a   Carniel, E L ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

Constitutive model; Heel pad; Mechanical tests; Tissue mechanics; Visco elasticity

Indexed keywords

BIOMECHANICAL RESPONSE; CONSTANT STRAIN RATE; CONSTITUTIVE FORMULATION; CONSTITUTIVE PARAMETERS; EXPERIMENTAL DATA; EXPERIMENTAL TEST; HYPERELASTIC CONSTITUTIVE MODEL; IN-VITRO; IN-VITRO TESTS; IN-VIVO; LARGE DISPLACEMENTS; MECHANICAL FUNCTIONS; MECHANICAL RESPONSE; MECHANICAL TESTS; MICRO-STRUCTURAL; NONLINEAR ELASTICITY; STOCHASTIC OPTIMIZATION METHODS; STRESS RELAXATION TESTS; TIME-DEPENDENT EFFECTS; TISSUE MECHANICS;

CONSTITUTIVE MODELS; ELASTICITY; HISTOLOGY; MECHANICAL PROPERTIES; STRAIN RATE; TESTING; TISSUE;

BIOMECHANICS;

ARTICLE; BIOMECHANICS; COMPRESSIVE STRENGTH; CONTROLLED STUDY; EXPERIMENTAL MODEL; FEMALE; HEEL; HISTOLOGY; HUMAN; HUMAN TISSUE; IN VITRO STUDY; IN VIVO STUDY; MALE; MUSCLE RELAXATION; MUSCLE STIFFNESS; NONLINEAR SYSTEM; PRIORITY JOURNAL; PROCESS OPTIMIZATION; STRESS STRAIN RELATIONSHIP; STRUCTURE ANALYSIS; TISSUE REACTION; TISSUE STRUCTURE; VISCOELASTICITY;

COMPRESSIVE STRENGTH; COMPUTER SIMULATION; CONNECTIVE TISSUE; ELASTIC MODULUS; HARDNESS; HEEL; HUMANS; MODELS, BIOLOGICAL; STRESS, MECHANICAL; VISCOSITY;

EID: 77952882391     PISSN: 13504533     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.medengphy.2010.02.018     Document Type: Article

References (57)

1. Jahss M.H., Michelson J.D., Kummer F. Investigations into the fat pads of the sole of the foot: heel pressure studies. Foot Ankle Int 1992, 13:233-242.
2. Whittle M.W. Generation and attenuation of transient impulsive forces beneath the foot: a review. Gait Posture 1999, 10:264-275.
3. Ledoux W.R., Hillstrom H.J. The distributed plantar vertical force of neutrally aligned and pes planus feet. Gait Posture 2002, 15:1-9.
4. Zheng Y.P., Choi Y.K.C., Wong K., Chan S., Mak A.F.T. Biomechanical assessment of plantar foot tissue in diabetic patients using an ultrasound indentation system. Ultrasound Med Biol 2000, 26:451-456.
5. Gefen A., Megido-Ravid M., Azariah M., Itzchak Y., Arcan M. Integration of plantar soft tissue stiffness measurements in routine MRI of diabetic foot. Clin Biomech 2001, 16:921-1025.
6. Rome K., Webb P., Unsworth A., Haslock I. Heel pad stiffness in runners with plantar heel pain. Clin Biomech 2001, 16:901-905.
7. Maurel W., Wu Y., Magnenat Thalmann N., Thalmann D. Biomechanical models for soft tissue simulation 1998, Springer, Berlin.
8. Natali A.N., Pavan P.G., Carniel E.L., Lucisano M.E., Taglialavoro G. Anisotropic elasto-damage constitutive model for the biomechanical analysis of tendons. Med Eng Phys 2005, 27:209-214.
9. Kroon M., Holzapfel G.A. A new constitutive model for multi-layered collagenous tissues. J Biomech 2008, 41:2766-2771.
10. Jahss M.H., Michelson J.D., Desai P., Kaye R., Kummer F., Buschman W., et al. Investigations into the fat pads of the sole of the foot: anatomy and histology. Foot Ankle Int 1992, 13:227-232.
11. Snow S.W., Bohne W.H.O. Observations on the fibrous retinacula of the heel pad. Foot Ankle Int 2006, 27:632-635.
12. Hsu C.-C., Tsai W.-C., Wang C.-L., Pao S.-H., Shau Y.-W., Chuan Y.-S. Microchambers and macrochambers in heel pads: are they functionally different?. J Appl Physiol 2007, 102:2227-2231.
13. Kinoshita H., Francio P.R., Murase T., Kawai S., Ogawa T. The mechanical properties of the heel pad in elderly adults. Eur J Appl Physiol 1996, 73:404-409.
14. Cavanagh P.R. Plantar soft tissue thickness during ground contact in walking. J Biomech 1999, 32:623-628.
15. Tong J., Lim C.S., Goh O.L. Technique to study the biomechanical properties of the human calcaneal heel pad. Foot 2003, 13:83-91.
16. Hsu C.-C., Tsai W.-C., Chen C.P-C., Shau Y.-W., Wang C.-L., Chen M.J-L., et al. Effects of aging on the plantar soft tissue properties under the metatarsal heads at different impact velocities. Ultrasound Med Biol 2005, 31:1423-1429.
17. Miller-Young J.E., Duncan N.A., Baroud G. Material properties of the human calcaneal fat pad in compression: experiment and theory. J Biomech 2002, 35:1523-1531.
18. Ledoux W.R., Blevins J.J. The compressive material properties of the plantar soft tissue. J Biomech 2007, 40:2975-2981.
19. Ledoux W.R., Meaney D.F., Hillstrom H.J. A quasi-linear, viscoelastic, structural model of the plantar soft tissue with frequency-sensitive damping properties. J Biomech Eng 2004, 126:831-837.
20. Wu J.Z., Dong R.G., Schopper A.W. Analysis of effects of friction on the deformation behaviour of soft tissue in unconfined compression tests. J Biomech 2004, 37:147-155.
21. Spears I.R., Miller-Young J.E., Watrìers M., Rome K. The effects of loading condition on stress in the barefooted heel pad. Med Sci Sports Exerc 2005, 37:1030-1036.
22. Spears I.R., Miller-Young J.E. The effect of heel-pad thickness and loading protocol on measured heel-pad stiffness and a standardized protocol for inter-subject comparability. Clin Biomech 2006, 21:204-212.
23. Ling H.Y., Choi P.C., Zheng Y.P.S., Lau K.T. Extraction of mechanical properties of foot plantar tissue using ultrasound indentation associated with genetic algorithm. J Mater Sci Mater Med 2007, 18:1579-1586.
24. Natali A.N., Carniel E.L., Pavan P.G., Dario P., Izzo I., Menciassi A. Hyperelastic models for the analysis of soft tissue mechanics: definition of constitutive parameters. IEEE/RAS-EMBS international conference on biomedical robotics and biomechatronics 2006, 1-8.
25. Natali A.N., Carniel E.L., Pavan P.G., Sander F.G., Dorow C., Geiger M. A constitutive model for the analysis of the biomechanical response of the periodontal ligament. J Biomech Eng 2008, 130:031004.
26. Uzel M., Cetinus E., Ekerbicer H.C., Karaoguz A. Heel pad thickness and athletic activity in healthy young adults: a sonographic study. J Clin Ultrasound 2006, 34:231-236.
27. Rome K. Mechanical properties of the heel pad: current theory and review of the literature. Foot 1998, 8:179-185.
28. Fritsch H. Sectional anatomy of connective tissue structures in the hindfoot of the newborn child and the adult. Anat Rec 1996, 246:147-154.
29. Muehleman C., Li J., Zhong Z., Brankov J.G., Wernick M.N. Multiple-image radiography for human soft tissue. J Anat 2006, 208:115-124.
30. Weissengruber G.E., Egger G.F., Hutchinson J.R., Groenewald H.B., Elsässer L., Famini D., et al. The structure of the cushions in the feet of African elephants (Loxodonta africana). J Anat 2006, 209:781-792.
31. Torp-Pedersen S.T., Matteoli S., Wilhjelm J.E., Amris K., Bech J.I., Christensen R., et al. Diagnostic accuracy of heel pad palpation - a phantom study. J Forensic Leg Med 2008, 15:437-442.
32. Aerts P., Ker R.F., De Clercq D., Ilsley D.W. The effects of isolation on the mechanics of the human heel pad. J Anat 1996, 188:417-423.
33. Ker R.F. The time-dependent mechanical properties of the human heel pad in the context of locomotion. J Exp Biol 1996, 199:1501-1508.
34. Natali A.N., Pavan P.G., Carniel E.L., Dorow C. Visco-elastic response of the periodontal ligament: an experimental-numerical approach. J Connect Tissue Res 2004, 45:222-230.
35. Holzapfel G.A. Non linear solid mechanics - a continuum approach for engineering 2000, John Wiley & Sons Ltd., New York.
36. Peña E., Peña J.A., Doblaré M. On modelling nonlinear viscoelastic effects in ligaments. J Biomech 2008, 41:2659-2666.
37. McCrum N.G., Buckley C.P., Bucknall C.B. Principles of polymer engineering 1997, Oxford Science Publication, New York.
38. Simo J.C., Hughes T.J.R. Computational inelasticity 1998, Springer, New York.
39. Natali A.N., Carniel E.L., Pavan P.G., Bourauel C., Ziegler A., Keilig L. Experimental-numerical analysis of minipig's multi-rooted teeth. J Biomech 2007, 40:1701-1708.
40. Schröder J., Neff P., Balzani D. A variational approach for materially stable anisotropic hyperelasticity. Int J Solids Struct 2005, 42:4352-4371.
41. Boukari D., Fiacco A.V. Survey of penalty, exact-penalty and multiplier methods from 1968 to 1993. Optimization 1995, 32:301-334.
42. Siarry P., Berthiau G., Durbin F., Haussy J. Enhanced simulated annealing for globally minimizing functions of many-continuous variables. ACM Trans Math Software 1997, 23:209-228.
43. Corana A., Marchesi M., Martini C., Ridella S. Minimizing multimodal functions of continuous variables with the simulated annealing algorithm. ACM Trans Math Software 1987, 13:262-280.
44. Sylos Labini M., Covitti A., Delvecchio G., Medoro N. A stochastic-deterministic optimization method for eliminating the environmental impact produced by a grounding system. Prooceedings of ICREPQ 2003 2003.
45. Hsu T.C., Wang C.L., Tsai W.C., Kuo J.K., Tang F.T. Comparison of the mechanical properties of the heel pad between young and elderly adults. Arch Phys Med Rehabil 1998, 79:1101-1104.
46. Natali A.N., Pavan P.G., Carniel E.L., Dario P., Izzo I. Characterization of soft tissue mechanics with aging. IEEE Eng Med Biol 2008, 27:15-22.
47. Erdemir A., Viveiros M.L., Cavanagh P.R. A numerical-experimental approach for characterizing subject specific hyperelastic properties of the heel pad. Summer bioengineering conference, sonesta beach resort in key Biscayne 2003.
48. Erdemir A., Viveiros M.L., Ulbrecht J.S., Cavanagh P.R. An inverse finite-element model of heel-pad indentation. J Biomech 2006, 39:1279-1286.
49. Gefen A., Megido-Ravid M., Itzchak Y. In vivo biomechanical behaviour of the human heel pad during the stance phase of gait. J Biomech 2001, 34:1661-1665.
50. Natali A.N., Carniel E.L., Gregersen H. Biomechanical behaviour of oesophageal tissues: material and structural configuration, experimental data and constitutive analysis. Med Eng Phys 2009, 10.1016/j.medengphy.2009.07.003.
51. Miller-Young JE. Factors affecting human heel pad mechanics: a finite element study. Doctoral Dissertation, Department of Mechanical Engineering, University of Calgary, Canada; 2003.
52. Lemmon D., Shiang T.Y., Hashmi A., Ulbrecht J.S., Cavanagh P.R. The effect of insole in therapeutic footwear - a finite element approach. J Biomech 1997, 30:615-620.
53. Chen W.-P., Ju C.-W., Tang F.-T. Effects of total contact insoles on the plantar stress redistribution: a finite element analysis. Clin Biomech 2003, 18:S17-S24.
54. Cheung J.T-M., Zhang M. A 3-dimensional finite element model of the human foot and ankle for insole design. Arch Phys Med Rehabil 2005, 86:353-358.
55. Cheung J.T.-M., Nigg B.M. Clinical applications of computational simulation of foot and ankle. Sport Orthop Traumatol 2007, 23:264-271.
56. Cheung J.T.-M., Zhang M. Parametric design of pressure-relieving foot orthosis using statistics-based finite element method. Med Eng Phys 2008, 30:269-277.
57. Natali A.N., Carniel E.L., Pavan P.G. Constitutive modelling of inelastic behaviour of cortical bone. Med Eng Phys 2008, 30:905-912.