Stress-Strain Response of the Human Vocal Ligament

Abstract

The longitudinal elastic properties of the human vocal ligament were quantified by stress-strain measurements and by modeling the response mathematically. Human ligaments were obtained from surgery and autopsy cases. They were dissected, mounted, and stretched with a dual-servo ergometer to measure force versus elongation and to convert the results into stress and strain. To calculate a longitudinal Young's modulus, the stress-strain curves were fitted with polynomial and exponential functions and differentiated. Young's modulus was separately defined in the low- and high-strain regions. The mean Young's modulus for the low-strain region was 33.1 ± 10.4 kilopascals. In the high-strain region, A and B parameters for an exponential fit were 1.4 ± 1.0 and 9.6 ± 1.2 kilopascals, respectively. The stress-strain and Young's modulus curves showed the typical hysteresis and nonlinearity seen previously in other vocal fold tissues (muscle and mucosa), but the nonlinearity was most profound for the vocal ligament.