Development and validation of fractional constitutive models for viscoelastic-plastic creep in time-dependent materials: Rapid experimental data fitting

Abstract

This study aims to address the core challenges in the field of fractional models: developing fractional viscoelastic models with clear physical meanings and efficient, precise methods for solving fractional differential equations. Through the analysis of experimental data, this study proposes several concise and accurate models to predict creep phenomena, characterized by a minimal number of parameters, each with a clear physical interpretation. These models demonstrate high accuracy in describing the nonlinear behavior during the accelerated creep stage and successfully overcome the difficulty of the fractional order exceeding 1. Additionally, the research introduces an improved memoryless technique for the numerical solution of fractional viscoelastic models, enhancing the efficiency of parameter identification. The methodology of this study is practical and feasible, offering valuable references for understanding and predicting the creep behavior of viscoelastic materials.