2023
DOI: 10.1016/j.mechmat.2022.104545
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Fractional viscoelastic-plastic constitutive model for frozen soil based on microcosmic damage mechanism

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Cited by 9 publications
(3 citation statements)
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“…It was shown that the non-decaying creep process of a frozen silty clay can be reasonably described when the long-term strength is lower than the current stress level. Based on fractional calculus theory, fractional derivative multipliers were embedded into the Nishihara model to describe the non-decaying creep development due to microscopic damage accumulation under constant overloading [23,28].…”
Section: Introductionmentioning
confidence: 99%
“…It was shown that the non-decaying creep process of a frozen silty clay can be reasonably described when the long-term strength is lower than the current stress level. Based on fractional calculus theory, fractional derivative multipliers were embedded into the Nishihara model to describe the non-decaying creep development due to microscopic damage accumulation under constant overloading [23,28].…”
Section: Introductionmentioning
confidence: 99%
“…The commonly used creep models are mainly classified into empirical and component models (He et al, 2023). The empirical models are established by fitting the creep test data using power functions, logarithmic functions, and fractional linear functions , e.g., the Singh-Mitchell model (Singh and Mitchell,1968).…”
Section: Introductionmentioning
confidence: 99%
“…Sun et al [25] proposed an elastoplastic damage constitutive model based on super/sub-loading yield surface and verified the model by observing the mechanical behavior of frozen soil and frozen saline soil through the triaxial compression test. He et al [26] established a new composite structure fractional constitutive model by establishing the creep relationship between the bonding unit and the friction unit based on the microscopic damage mechanism of frozen soil. The above research shows that scholars have limited research on the damage evolution of soil to only from a single direction, and there is almost no research on deep soil.…”
Section: Introductionmentioning
confidence: 99%