General-Variable Order Fractional Creep Constitutive Model for Cemented Backfill Materials: Considerations of Particle Size, Dosage, and Confining Pressure
Journal Title: GeoStruct Innovations - Year 2023, Vol 1, Issue 1
Abstract
Building upon the foundations of classical fractional derivatives, the general fractional derivative emerges as a significant advancement in the development of constitutive models, especially for materials with complex properties. This derivative distinguishes itself through a kernel function of variable form, enabling it to encapsulate diverse characteristics of the creep process more effectively than its classical counterpart. This study introduces a general-variable order fractional creep constitutive model, ingeniously linking the order of the fractional derivative to Talbot gradation, which describes the aggregate gradation of cemented backfill materials, alongside dosage and confining pressure parameters. The model's innovative design synergizes the kernel function's diversity from the general fractional derivative with the phase adaptability inherent in the variable-order derivative. This integration permits a comprehensive description of each stage of the creep curve for cementitious filling materials in varying compositions, leveraging the Gamma function's properties within the positive real number domain. The model's rationality and validity are substantiated through a comparative analysis between experimental creep curves and theoretical predictions, affirming its relevance and accuracy in practical applications. This approach represents a notable contribution to the understanding of cemented backfill materials' behavior, offering a robust tool for engineering analysis and design.
Authors and Affiliations
Jiangyu Wu, Yiying Feng, Yiming Wang, Hongwen Jing, Hai Pu, Qian Yin, Dan Ma
Keywords
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- EP ID EP731945
- DOI 10.56578/gsi010104
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