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<article xsi:noNamespaceSchemaLocation="http://jats.nlm.nih.gov/publishing/1.1/xsd/JATS-journalpublishing1-mathml3.xsd" dtd-version="1.1" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><front><journal-meta><journal-id journal-id-type="publisher-id">JARD</journal-id><journal-title-group><journal-title>Journal of Architectural Research and Development</journal-title></journal-title-group><issn>2208-3529</issn><eissn>2208-3537</eissn><publisher><publisher-name>Bio-Byword Scientific Publishing Pty. Ltd.</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26689/jard.v9i5.12134</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title>Prediction of Frozen Soil Deformation Characteristics Using Fractional Derivative Creep Model</title><url>https://artdesignp.com/journal/JARD/9/5/10.26689/jard.v9i5.12134</url><author>TianZhiheng</author><pub-date pub-type="publication-year"><year>2025</year></pub-date><volume>9</volume><issue>5</issue><history><date date-type="pub"><published-time>2025-10-10</published-time></date></history><abstract>To investigate the temperature susceptibility and nonlinear memory effects of artificially frozen soil creep behavior, this study conducted uniaxial step-loading creep tests under controlled temperatures ranging from -10℃ to -20℃. The transient creep characteristics and steady-state creep rates of artificially frozen soils were systematically examined with respect to variations in temperature and stress. Experimental results demonstrate that decreasing temperatures lead to a decaying trend in the steady-state creep rate of silty frozen soil, confirming that low-temperature environments significantly inhibit plastic flow while enhancing material stiffness. Based on fractional calculus theory, a fractional derivative creep model was established. By incorporating temperature dependencies, the model was further improved to account for both stress and temperature effects. The model predictions align closely with experimental data, achieving over 91% agreement (standard deviation ± 1.8%), and effectively capture the stress-strain behavior of artificially frozen soil under varying thermal conditions. This research provides a reliable theoretical foundation for studying deformation characteristics in cold-regions engineering.</abstract><keywords/></article-meta></front><body/><back><ref-list><ref id="B1" content-type="article"><label>1</label><element-citation publication-type="journal"><p>Zhao X, Zhou G, 2013, Experimental Study on the Creep Behavior of Frozen Clay with Thermal Gradient. Cold Regions Science and Technology, 86: 127–132.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B2" content-type="article"><label>2</label><element-citation publication-type="journal"><p>Fish AM, 1983, Mathematical Models of Soil Freezing. CRREL Report, 83: 13.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B3" content-type="article"><label>3</label><element-citation publication-type="journal"><p>Podlubny I, 1999, Fractional Differential Equations. Mathematics in Science and Engineering, 198: 41–119.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B4" content-type="article"><label>4</label><element-citation publication-type="journal"><p>Wang X, Li D, 2020, Fractional Derivative Modeling of Creep Behavior for Frozen Soil. Mechanics of Time-Dependent Materials, 24(3): 287–302.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B5" content-type="article"><label>5</label><element-citation publication-type="journal"><p>Yang S, Wang N, Zhang H, 2020, Study on Creep Test and Creep Model of Warm Frozen Soil. Journal of Glaciology and Geocryology, 42(3): 834–842.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B6" content-type="article"><label>6</label><element-citation publication-type="journal"><p>Song YJ, Zhang LT, Ren JX, et al., 2021, Triaxial Creep Properties and Model of Red Sandstone under Freeze-Thaw Environment. Chinese Journal of Geotechnical Engineering, 43(5): 841–849.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B7" content-type="article"><label>7</label><element-citation publication-type="journal"><p>Wang Z, Li J, Teng J, et al., 2023, THM Coupled Model for Simulating Frost Heave Based on a New Water Film Pressure Criterion. Chinese Journal of Geotechnical Engineering, 45(5): 997–1007.</p><pub-id pub-id-type="doi"/></element-citation></ref></ref-list></back></article>
