基于分数阶标准线固体模型的粘弹性薄板力-热耦合蠕变屈曲分析  

Mechanical-Thermal Coupling Creep Buckling Analysis of Viscoelastic Thin Plates Based on Fractional Order Standard Linear Solid Model

作　　者：茆武 陈衍茂 刘济科 刘奇贤 Wu Mao;Yanmao Chen;Jike Liu;Qixian Liu(Department of Mechanics,School of Aeronautics and Astronautics,Shenzhen Campus of Sun Yat-sen University,Sun Yat-sen University,518107)

机构地区：[1]中山大学航空航天学院力学系,中山大学·深圳,518107

出　　处：《固体力学学报》2024年第6期735-747,共13页Chinese Journal of Solid Mechanics

基　　金：深圳市科技计划项目(202206193000001,20220817204433001);国家自然科学基金项目(12172387)资助。

摘　　要：分数阶本构模型以其较少的参数和更清晰的物理意义,在很多领域中展现出了比传统整数阶模型更优的适用性.本研究采纳了分数阶标准线固体模型,旨在深入探讨粘弹性薄板在力-热耦合作用下的线性蠕变屈曲特性.为了确保数值分析的准确性,本研究采用了Hermite型径向基函数无网格方法(HRBF),其计算结果经过验证,展现出了高度精确性.研究结果显示,分数阶粘弹性薄板的稳定性对时间具有显著依赖性,具体表现为随着时间推进,薄板的临界载荷和临界温度均呈现下降趋势,后屈曲的变形位移则不断增加.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.

关 键 词：HRBF型无网格法 分数阶标准线固体模型 力热耦合 粘弹性薄板 屈曲分析 

分 类 号：O344.1[理学—固体力学]