A probabilistic rule of mixtures for elastic moduli

Journal of Biomechanics

Volumn 32, Issue 2, 1999, Pages 189-193

  Rapoff, Andrew J ^a   Heisey, Dennis M ^b   Vanderby Jr , Ray ^c  

^a University of Florida   (United States)

^b UNIVERSITY OF WISCONSIN SCHOOL OF MEDICINE AND PUBLIC HEALTH   (United States)

^c UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

Elastic modulus; Ligament; Statistics; Tendon

Indexed keywords

ELASTIC MODULI; LIGAMENTS; MATHEMATICAL MODELS; PROBABILITY; STATISTICAL METHODS; TENDONS;

MEDIAL COLLATERAL LIGAMENTS; RULE OF MIXTURES (ROM);

BIOMECHANICS;

ANIMAL TISSUE; ARTICLE; BIOMECHANICS; ELASTICITY; LIGAMENT; MUSCLE STRETCHING; NONHUMAN; PRIORITY JOURNAL; PROBABILITY; RABBIT; STATISTICAL ANALYSIS; TENDON;

ANIMALS; COLLAGEN; ELASTICITY; JOINTS; LIGAMENTS, ARTICULAR; MODELS, BIOLOGICAL; STOCHASTIC PROCESSES; TENDONS;

EID: 0033081261     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9290(98)00155-9     Document Type: Article

References (14)

1. Amiel D., Woo S.L.-Y., Harwood F.L., Akeson W.H. The effect of immobilization on collagen turnover in connective tissue. A biochemical-biomechanical correlation. Acta Orthopaedica Scandinavica. 53:1982;325-332.
2. Ault H.K., Hoffman A.H. A composite micromechanical model for connective tissues. Part I-theory. Journal of Biomechanical Engineering. 114:1992;137-141.
3. Danto M.I., Woo S.L. The mechanical properties of skeletally mature rabbit anterior cruciate ligament and patellar tendon over a range of strain rates. Journal of Orthopaedic Research. 11:1993;58-67.
4. Danylchuk K.D., Finlay J.B., Krcek J.P. Microstructural organization of human and bovine cruciate ligaments. Clinical Orthopaedics and Related Research. 131:1978;294-298.
5. Dixon J.S., Hunter J.A.A., Steven F.S. An electron microscopic study of the effect of crude bacterial α-amylase and ethylene-diaminetetraacetic acid on human tendon. Journal of Ultrastructure Research. 38:1972;466-472.
6. Frank, C., Woo, S.L.-Y., Andriacchi, T., Brand, R., Oakes, B., Dahners, L., DeHaven, K., Lewis, J., Sabiston, P., 1987. Normal ligament. Structure, function, and composition. In: Woo, S.L.-Y., Buckwalter, J.A. (Eds.), Injury and Repair of the Musculoskeletal Soft Tissues. American Academy of Orthopaedic Surgeons, Park Ridge, Illinois, USA, p. 79.
7. Hall R.H. Variations with pH of the tensile properties of collagen fibers. Journal of the International Society of Leather Trades' Chemists. 35:1951;195-210.
8. Hashin Z., Rosen B.W. The elastic moduli of fiber-reinforced materials. Journal of Applied Mechanics. 31:1964;223-232.
9. Hollis, J.M., Lyon, R.M., Marcin, J.P., Horibe, S., Lee, E.B., Woo, S.L.-Y., 1988. Effect of age and loading axis on the failure properties of the human ACL. Transactions of the 34th Annual Meeting of the Orthopedic Research Society, Georgia World Congress Center, Atlanta, Georgia, USA, p. 83.
10. Hurschler C., Loitz-Ramage B. Jr., Vanderby R. A structurally based stress-stretch relationship for tendon and ligament. Journal of Biomechanical Engineering. 119:1997;392-399.
11. Soong T.T., Huang W.N. A stochastic model for biological tissue elasticity in simple elongation. Journal of Biomechanics. 6:1973;451-458.
12. Weibull W. A statistical distribution function of wide applicability. Journal of Applied Mechanics. 18:1959;293-297.
13. Woo, S.L.-Y., Ohland, K.J., 1994. Elastic moduli of rabbit medial collateral ligaments. Unpublished experimental data as gift.
14. Woo S.L.-Y., Peterson R.H., Ohland K.J., Sites T.J., Danto M.I. The effects of strain rate on the properties of the medial collateral ligament in skeletally immature and mature rabbits. A biomechanical and histological study. Journal of Orthopaedic Research. 8:1990;712-721.