A finite element based method to determine the properties of planar soft tissue

Journal of Biomechanical Engineering

Volumn 120, Issue 2, 1998, Pages 202-210

  Flynn, D M ^a   Peura, G D ^a   Hoffman, A H ^a   Grigg, P ^b  

^a Worcester Polytechnic Institute   (United Kingdom)

^b UNIVERSITY OF MASSACHUSETTS MEDICAL SCHOOL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BIOLOGICAL MEMBRANES; ELASTICITY; FINITE ELEMENT METHOD; SKIN; STIFFNESS MATRIX; VECTORS;

FORCE VECTORS;

BIOMECHANICS;

LATEX; RUBBER;

ANIMAL TISSUE; ARTICLE; FINITE ELEMENT ANALYSIS; LOADING TEST; NONHUMAN; RAT; SHEAR STRESS; SKIN; SOFT TISSUE; STRESS STRAIN RELATIONSHIP; THEORY; VISCOELASTICITY;

ALGORITHMS; ANIMALS; COMPLIANCE; ELASTICITY; FINITE ELEMENT ANALYSIS; MODELS, BIOLOGICAL; POISSON DISTRIBUTION; RATS; REPRODUCIBILITY OF RESULTS; RUBBER; SKIN; SKIN PHYSIOLOGY; STRESS, MECHANICAL;

EID: 0032053772     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.2798303     Document Type: Article

References (41)

1. Bathe, K., 1982, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, NJ.
2. Chew, P. H., Yin, F. C. P., and Zeger, S. L., 1986, “Biaxial Stress-Strain Properties of Canine Pericardium,’ J. Molec. Cell. Cardiol., 18, 567-578.
3. Debes, J. C., and Fung, Y. C., 1992, “Effect of Temperature on the Biaxial Mechanics of Excised Lung Parenchyma of the Dog,” J. Applied Physiology, 73, 1171-1180.
4. Debes, J. C., and Fung, Y. C., 1995, “Biaxial Mechanics of Excised Canine Pulmonary Arteries,” Amer. J. Of Physiology, 269 (Heart Circ. Physiol, 38), H433-H442.
5. Demer, L. L., and Yin, C. P., 1983, “Passive Biaxial Mechanical Properties of Isolated Canine Myocardium,” Journal of Physiology, 339, 615-630.
6. Deng, S. X., Tomioka, J., Debes, J. C., and Fung, Y. C., 1994, “New Experiments on Shear Modulus of Elasticity of Arteries,” Amer. J. Physiology, 266 (Heart Circ. Physiol, 35), HI-HI0.
7. Flynn, D. M., 1989, “Development of a Nonlinear Finite Element Based Method to Determine Incremental Material Properties of Two-Dimensional Planar Sheets,” PhD Thesis, Worcester Polytechnic Institute, Worcester, MA.
8. Fung, Y. C., 1972, “Stress-Strain-History Relations of Soft Tissues in Simple Elongation,” Biomechanics -Its Foundations and Objectives, Fung, Y. C., Per-rone, N., and Anliker, M., eds., Prentice Hall, NJ, 181-208.
9. Fung, Y. C., 1993, Biomechanics: Mechanical Properties of Living Tissues, 2nd ed., Springer Verlag, New York, 260-263, 292-295.
10. Fung, Y. C., Fronek, K., and Patitucci, P., 1976, “Pseudoelasticity of Arteries and the Choice of Its Mathematical Expression,” American Physiological Society, 237, H620-H631.
11. Grandin, H., Jr., 1986, Fundamentals of the Finite Element Method., Macmillan Publishing Company, New York.
12. Grigg, P., 1996, “Stretch Sensitivity of Mechanoreceptors in Rat Hairy Skin,” J. Neurophysiology, 76, 2886-2895.
13. Guccione, J. M., McCulloch, A. D., and Waldman, L. K., 1991, “Passive Material Properties of Intact Ventricular Myocardium Determined From a Cylindrical Model,” ASME Journal of Biomechanical Engineering, 113, 42-55.
14. Hoffman, A. H, and Grigg, P., 1984, “A Method for Measuring Strains in Soft Tissues,” Journal of Biomechanics, 17 (10), 795-800.
15. Hoppin, F. G., Lee, J. C., and Dawson, S. V., 1975, “Properties of Lung Parenchyma in Distortion,” Journal Of Applied Physiology, 39, 742-751.
16. Humphrey, J. D., Kang, T., Sakarda, R., and Anjanappa, M., 1993, “Computer-Aided Vascular Experimentation: A New Electromechanical Test System,” Annals of Biomedical Engineering, 21, 33-43.
17. Iding, R. H., Pister, K. S., and Taylor, R. L., 1974, “Identification of Nonlinear Elastic Solids by a Finite Element Method,” Computer Methods in Applied Mechanics and Engineering, 4, 121-142.
18. Kaplan, W., 1981, Advanced Mathematics for Engineers, Addison-Wesley Publishing Company, Reading, MA.
19. Khalsa, P. S., Hoffman, A. H., and Grigg, P., 1996, “Mechanical States Encoded by Stretch Sensitive Neurons in Feline Joint Capsule,” J. Neurophysiology, 76, 175-187.
20. Lanir, Y., and Fung, Y. C., 1974a, “Two-Dimensional Mechanical Properties of Rabbit Skin-I. Experimental System,” Journal of Biomechanics, 7, 29-34.
21. Lanir, Y., and Fung, Y. C., 1974b, “Two-Dimensional Mechanical Properties of Rabbit Skin-11. Experimental Results,” Journal of Biomechanics, 7, 171-182.
22. Lanir, Y., Lichtenstein, O., and lmanuel, O., 1996, “Optimal Design of Biaxial Tests for Structural Material Characterization of Flat Tissues,” ASME Journal of Biomechanical Engineering, 118, 41-47.
23. Lee, M. C., LeWinter, M. M., Freeman, G., Shabetai, R., and Fung, Y. C., 1985, “Biaxial Mechanical Properties of the Pericardium in Normal and Volume Overload Dogs,” American Physiological Society, 249, H222-H230.
24. Lekhnitskii, S. G., 1963, Theoiy of Elasticity of an Anisotropic Elastic Body. Holden-Day, Inc., San Francisco, 1-33.
25. Lin, H. S., Liu, Y. K., Ray, G., and Nikravesh, P., 1978, “Systems Identification for Material Properties of the Intervertebral Joint,” J. Biomechanics, 11, 1-14.
26. MARC Analysis Research Corporation, 1995, MARC Finite Element Software (K6.1).
27. Novak, V. P., Yin, F. C. P., and Humphrey, J. D., 1994, “Regional Mechanical Properties of Passive Myocardium,” J. Biomechanics, 27, 403-412.
28. Oomens, C. W. J., Ratingen, M. R. V., Janssen, J. D., Kok, J. J., and Hendricks, M. A. N., 1993, “A Numerical-Experimental Method for a Mechanical Characterization of Biological Materials,” J. Biomechanics, 26, 617-621.
29. Pao, Y. C., 1982, “Finite Elements in Stress Analysis and Estimation of Mechanical Properties of the Working Heart,” Finite Elements in Biomechanics, Gallagher, R. H., Simon. B. R., Johnson, P.C., and Gross, J. F., eds., Wiley, 127-153.
30. Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T., 1989, Numerical Recipes in Pascal, Cambridge University Press, New York, 61-73.
31. Ray, G., and Ghista, D. N., 1980, “A Direct Computational Algorithm to Estimate In Vivo Constitutive Properties of Some Cardiovascular Structures,” Finite Elements in Biomechanics, Simon, B. R., ed., Univ. of Arizona, 2, 623-637.
32. Sacks, M. S., and Choung, C. J., 1993, “Biaxial Mechanical Properties of Passive Right Ventricular Free Wall Myocardium, “ASME Journal of Biomechanical Engineering, 115, 202-205.
33. Shoemaker, P.A., Schneider, D., Lee, M. C., and Fung, Y. C., 1986, “A Constitutive Model for Two-Dimensional Soft Tissues and Its Application to Experimental Data,” Journal of Biomechanics, 19 (9), 695-702.
34. Vaishnav, R. N., and Vossoghi, J., 1984, “Incremental Formulations in Vascular Mechanics,” ASME Journal of Biomechanical Engineering, 106, 105-111.
35. Vito, R. P., 1980, “The Mechanical Properties of Soft Tissues-I: A Mechanical System for Bi-axial Testing,” J. Biomechanics, 13, 947-950.
36. Vito, R. P., and Hickey, J., 1980, “The Mechanical Properties of Soft Tissues-II: the Elastic Response of Arterial Segments,” J. Biomechanics, 13, 951-957.
37. Vorp, D. A., Rajagopal, K. R., Smolinski, P. J., and Borovetz, H. S., 1995, “Identification of Elastic Properties of Homogeneous, Orthotropic Vascular Segments in Distention,” J. Biomechanics, 28, 501-512.
38. Vorp, D. A., Severyn, D. A., Steed, D. L., and Webster, M. W., 1996, “A Device for the Application of Cyclic Twist and Extension of Perfused Vascular Segments,” Amer. J. Physiology, 270 (Heart Circ. Physiol, 39), H787-H795.
39. Weizsacker, H. W., Lambert, H., and Pascale, K., 1983, “Analysis of the Passive Mechanical Properties of Rat Carotid Arteries,”Journal of Biomechanics, 16 (9), 703-715.
40. Weizsacker, H. W., Lambert, H., and Pascale, K., 1988, “Isotropy and Anisotropy of the Arterial Wall,” Journal of Biomechanics, 21(6), 477-487.
41. Wineman, A., Wilson, D., and Melvin, J. W., 1979, “Material Identification of Soft Tissue Using Membrane Inflation,” J. Biomechanics, 12, 841-850.