Research on the Parameter Determination Method of Burgers Model

The Burgers mechanical creep model is extensively used in frozen soil engineering for its concise mathematical formulation. The accuracy of this model’s calculations significantly depends on the precision with which its parameters are determined. The current practice of using the “trial and error” method to ascertain these parameters often lacks clear physical rationale, thus undermining the model’s reliability. This paper presents a study on frozen silty clay under various temperatures and axial pressures, employing uniaxial creep tests to refine the parameter determination process. By integrating the Burgers model with empirical data, the physical significance of its parameters is delineated: the Maxwell elastic shear modulus G_M is derived from the instantaneous strain upon loading, the Maxwell viscosity coefficient H_M is based on the slope of the linear section of the creep curve, the Kelvin elastic shear modulus G_K is ascertained from the intersection of the linear section’s extension with the strain axis, and the Kelvin viscosity coefficient H_K is calculated from a specific point on the nonlinear deceleration phase of the creep curve. This approach circumvents the limitations of the traditional trial-and-error method, offering a theoretical foundation for parameter determination that is more scientific, intuitive, and efficient. Comparative analysis of experimental and computational outcomes confirms the Burgers model’s efficacy in accurately depicting the attenuation and stable progression phases of frozen soil creep. This validation suggests that the parameter determination method proposed in this study is effective.