Fractional-order Modeling of Linear Viscoelastic Creep in Hami Melon

摘要：

　　This paper describes our experimental testing of linear viscoelastic creep behaviors in Hami Melon.Experimental data shows that Hami Melon has complex viscoelastic property which can not be well described by the standard model.Consequently,this study develops a fractional derivative model to describe such complex viscoelastic creep behaviors of Hami Melon.The analytical creep function of the proposed fractional linear viscoelastic models is derived via the Boltzmann superposition principle and discrete inverse Laplace transform.And then such analytical solutions are used to fit the experimental data of viscoelastic Hami Melon.Our study shows that the present fractional linear viscoelastic model with merely three parameters is more efficient and accurate than the generalized Kelvin viscoelastic model of six parameters to describe the stress—strain constitutive relations of Hami Melon.It is noted that the present fractional model with adjustable parameters can also be used to describe creep damage.

关键词： Hami Melon experiment viscoelasticity fractional derivative creep

作者: Zheng Xu Wen Chen

作者单位: Institute of Soft Matter Mechanics,Department of Engineering Mechanics,Hohai University,Nanjing,Jian Institute of Soft Matter Mechanics,Department of Engineering Mechanics,Hohai University,Nanjing,Jian

会议类型: 国际会议

会议名称: 第13届国际断裂大会(ICF2013)

会议地点: 北京

会议语种:英文

页码: 1-7

在线出版日期: 2013-06-16（万方平台首次上网日期，不代表论文的发表时间）