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

Related Articles

Advanced Muck Pile Characterization for Optimized Blast Design and Excavator Loading Efficiency: A Synergistic Approach Using UAVs, PCA, and AI

Muck pile characteristics play a pivotal role in optimizing mining operations, particularly in understanding the post-blast behavior of throw, drop, and lateral spread, which directly impacts the selection and performanc...

Failure Criteria for Subway Tunnels Based on the Load-Unload Response Ratio Theorye

This study employs a combination of geological investigation, numerical simulation, and theoretical analysis to evaluate the applicability of the load-unload response ratio (LURR) theory in urban tunnels. The results ind...

Strength-Adaptive Blast Design for Optimized Rock Fragmentation and Controlled Ground Vibrations

Achieving efficient fragmentation and minimizing ground vibration in blasting operations necessitates a precise understanding of bench geology, structural dimensions, and the compressive strength of the rock. This study...

General-Variable Order Fractional Creep Constitutive Model for Cemented Backfill Materials: Considerations of Particle Size, Dosage, and Confining Pressure

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 p...

Enhanced Protection: Exploring the Penetration Resistance of Star Shape Auxetic Material

This study investigates the performance of star-shaped auxetic structures as protective materials in aluminum containers, designed to safeguard sensitive or hazardous materials during road transport. Finite element analy...

Download PDF file
  • EP ID EP731945
  • DOI 10.56578/gsi010104
  • Views 75
  • Downloads 0

How To Cite

Jiangyu Wu, Yiying Feng, Yiming Wang, Hongwen Jing, Hai Pu, Qian Yin, Dan Ma (2023). General-Variable Order Fractional Creep Constitutive Model for Cemented Backfill Materials: Considerations of Particle Size, Dosage, and Confining Pressure. GeoStruct Innovations, 1(1), -. https://europub.co.uk./articles/-A-731945