Shear Stress‐Strain Curve Generation from Simple Material Parameters

Abstract

The commonly used hyperbolic function is known to be deficient in accurately modeling failure even though it is easily fitted to the initial conditions. To correct that deficiency, a modified hyperbolic function which includes a power term is proposed. The modified hyperbolic function is shown to offer more versatility and accuracy in modeling shear stress-strain behavior in both monotonic and cyclic loading conditions; at both low and high strain levels. A plot of the shear stress-strain curves generated using the proposed equation is included and discussed. It is shown that the generated shear stress-strain curves fit the range of values typically adopted for sands and clays. Equivalent viscous dampings for a nonlinear, hysteretic material are computed for the curves generated with the modified hyperbolic equation. A plot of variations of damping ratios with strain level is included to illustrate the versatility of the modified hyperbolic equation in fitting the range of values typically used for sands and clays.