Xianglong Su

Xianglong Su
Hohai University · Institute of Soft Matter Mechanics

Phd student

About

11
Publications
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108
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Introduction
Skills and Expertise

Publications

Publications (11)
Article
Data fitting and interconversion remain to be a difficult task in linear viscoelasticity. On the basis of transfer function, a generalized fractional model is proposed to fit linear vis- coelastic data. The new model is modified from the fractional Maxwell model, and it is abbreviated as the MFM model in this paper. Common fractional viscoelastic m...
Article
Classical spring-dashpot models encounter difficulties in modeling the responses of realistic viscoelastic materials. Multiple modes are typically needed to describe realistic data, resulting in overfitting issues. Compared with classical models, fractional viscoelastic models have been shown to depict the linear viscoelasticity of materials contai...
Article
Fractional viscoelastic models have been confirmed to achieve good agreement with experimental data using only a few parameters, in contrast to the classical viscoelastic models in previous studies. With an increasing number of applications, the physical meaning of fractional viscoelastic models has been attracting more attention. This work establi...
Article
Flow problem for non-Newtonian fluid has drawn considerable attention over past decades. In this study, we theoretically and numerically investigate the unsteady Stokes’ flow problem of the viscoelastic fluid. The constitutive equation of the viscoelastic fluid is modified from the Newtonian fluid by introducing the Hausdorff derivative, called the...
Article
Ultra-slow rheological phenomena have widely been observed in engineering materials. The logarithmic law is normally used to describe the slow rheology, but it does not work well for the long-term ultra-slow rheology. In this paper, we devise a new Maxwell-type viscoelastic model to capture the ultra-slow rheology by using the non-local structural...
Article
Full-text available
Based on the fractal derivative, a robust viscoelastic element—fractal dashpot—is proposed to characterize the rheological behaviors of non-Newtonian fluid. The mechanical responses of the fractal dashpot are investigated with different strains and stresses, which are compared with the existing dashpot models, including the Newton dashpot and the A...
Article
Full-text available
Non-Newtonian fluid has complex rheological characteristics. It is very helpful to reveal these characteristics for the applications of non-Newtonian fluid in industry and agriculture. The classical rheological models of non-Newtonian fluid usually have sophisticated forms and the limitations of specific materials or rheological situations. Fractio...
Article
Continuum percolation of randomly orientated congruent overlapping spherocylinders (composed of cylinder of height H with semispheres of diameter D at the ends) with aspect ratio ?=H/D in [0,?) is studied. The percolation threshold ?c, percolation transition width ?, and correlation-length critical exponent ? for spherocylinders with ? in [0, 200]...

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Project
Unlike the fractional derivative, the Hausdorff derivative, one kind of fractal derivatives (also called the non-local fractional derivative), introduced by Chen (2006), is a local derivative instead of a global operation. Thus, the computing costs of the Hausdorff fractal derivative are far less than the global fractional derivative, while performing almost equally well in modeling a variety of complex problems. In particular, the Hausdorff fractal derivative diffusion equation characterizes the stretched Gaussian process in space and fractal exponental decay, also known as the stretched relaxation, in time. In contrast, the fractional derivative diffusion equation underlies the Levy statistics in space and the ML function power law decay in time. By extending the concept of fundamental solution of integer-order differential operators to fractal by Chen et al (2016), the fractal differential operators are defined and employed to describe various mechanical behaviors of fractal materials. Fractal calculus operator significantly extends the application scope of the classical calculus modeling approach under the framework of continuum mechanics to fractal materials. It is noted that there exist quite a few different definitions of fractal derivative, among which, to the best understanding and knowledge, the Hausdorff derivative is mathematically the most simple and numerically the easiest to implement with clear physical significance and the most real-world applications.