The invention discloses a fitting method for stress-
strain response of a high-elongation steel cord and application of the fitting method. The fitting method comprises the steps that stress-strain data points are obtained; the number N of turning points is determined based on a local curvature
mutation detection method, the fitting curve is divided into N + 1 fitting line segments, a starting point is an original point when the first fitting
line segment is drawn, and the starting point is located in data points with curvature
mutation when other fitting line segments are drawn; the optimal slope of each fitting
line segment, which maximizes the value, can be calculated by performing derivation on a formula for determining the coefficient about the slope, and a
ray is drawn according to the calculated optimal slope of each fitting
line segment, so that the fitting line segment of the stress-
strain response of the high-elongation steel cord is obtained. According to the method, the number of turning points is determined based on a curvature
mutation detection mode by utilizing the switching characteristics of a multi-segment linear function and a max function, the optimal slope is calculated through a formula, local high-precision fitting of each segment and corresponding experimental data is ensured, and the overall
goodness of fit is greatly improved.