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Mechanical-Thermal Coupling Creep Buckling Analysis of Viscoelastic Thin Plates Based on Fractional Order Standard Linear Solid Model
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Wu Mao, Yanmao Chen, Jike Liu, Qixian Liu**
Chinese Journal of Solid Mechanics | 2024, 45(6) : 735 - 747
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Chinese Journal of Solid Mechanics | 2024, 45(6): 735-747
Research Paper
Mechanical-Thermal Coupling Creep Buckling Analysis of Viscoelastic Thin Plates Based on Fractional Order Standard Linear Solid Model
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Wu Mao, Yanmao Chen, Jike Liu, Qixian Liu**
Affiliations
  • Department of Mechanics, School of Aeronautics and Astronautics, Shenzhen Campus of Sun Yat-sen University, Sun Yat-sen University, 518107
Published: 2024-12-25 doi: 10.19636/j.cnki.cjsm42-1250/o3.2024.041
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The fractional-order constitutive model traditional integer-order model in fields due to its fewer parameters and clearer physical meaning. In this study, the fractional-order standard linear solid model is adopted to deeply explore the linear creep buckling characteristics of viscoelastic thin plates under the force-coupling effect. To ensure the accuracy of numerical analysis, the Hermite-type radial basis function (HRBF) is used in this study. The calculation results high accuracy. that the stability of fractional-order viscoelastic thin plates significant time. Specifically, as time progresses, both the critical load and critical temperature of the thin plate show a downward trend, while the deformation displacement after buckling continuously increases.

HRBF meshless method  /  fractionalorder standard linear solid model  /  force-heat coupling  /  viscoelastic thin plates  /  buckling analysis
Wu Mao, Yanmao Chen, Jike Liu, Qixian Liu. Mechanical-Thermal Coupling Creep Buckling Analysis of Viscoelastic Thin Plates Based on Fractional Order Standard Linear Solid Model[J]. Chinese Journal of Solid Mechanics, 2024 , 45 (6) : 735 -747 . DOI: 10.19636/j.cnki.cjsm42-1250/o3.2024.041
Year 2024 volume 45 Issue 6
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doi: 10.19636/j.cnki.cjsm42-1250/o3.2024.041
  • Receive Date:2024-09-03
  • Online Date:2026-04-01
  • Published:2024-12-25
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  • Received:2024-09-03
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    Department of Mechanics, School of Aeronautics and Astronautics, Shenzhen Campus of Sun Yat-sen University, Sun Yat-sen University, 518107
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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