Computational framework for common visco-elastic models in engineering based on the theory of rheology

Oeser, Markus; Pellinien, Terhi

doi:10.1016/j.compgeo.2012.01.003

Cited by 41 publications

(14 citation statements)

References 9 publications

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“…Therefore, Abel dashpot with constant coefficient bridges the gap between an ideal fluid and an ideal solid material response by interpolating between the Newton dashpot and a spring. Under the circumstance of constant stress in (6), namely, ( ) = , the element denotes the creep strain characteristic. Conducting the fractional integral calculation of (6) based on the Riemann-Liouville operator, we can gain…”

Section: Fractional Derivative Abel Dashpot Researchmentioning

confidence: 99%

“…On the other hand, the rheology theory based models, which focus on the mechanical response, thus reveal the properties of rheology at the microscale. The visco-elasticplastic component model, as a common approach, which is composed of standard elements such as the Hooke spring and the Newtonian dashpot, has the advantage of flexible description of different rheology deformation with visual concept and clear physical significance [3][4][5][6]. Nevertheless, the empirical and semiempirical models are restricted by the duration of experiment, whose results can only describe the stable stage of creep.…”

Section: Introductionmentioning

confidence: 99%

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Investigation Progresses and Applications of Fractional Derivative Model in Geotechnical Engineering

Lai

Sheng

Qiu

et al. 2016

Mathematical Problems in Engineering

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Over the past couple of decades, as a new mathematical tool for addressing a number of tough problems, fractional calculus has been gaining a continually increasing interest in diverse scientific fields, including geotechnical engineering due primarily to geotechnical rheology phenomenon. Unlike the classical constitutive models in which simulation analysis gradually fails to meet the reasonable accuracy of requirement, the fractional derivative models have shown the merits of hereditary phenomena with long memory. Additionally, it is traced that the fractional derivative model is one of the most effective and accurate approaches to describe the rheology phenomenon. In relation to this, an overview aimed first at model structure and parameter determination in combination with application cases based on fractional calculus was provided. Furthermore, this review paper shed light on the practical application aspects of deformation analysis of circular tunnel, rheological settlement of subgrade, and relevant loess researches subjected to the achievements acquired in geotechnical engineering. Finally, concluding remarks and important future investigation directions were pointed out.

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Section: Fractional Derivative Abel Dashpot Researchmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Investigation Progresses and Applications of Fractional Derivative Model in Geotechnical Engineering

Lai

Sheng

Qiu

et al. 2016

Mathematical Problems in Engineering

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show abstract

“…Additionally, experimental rheological data within a proper frequency loading range obtained from a series of temperatures can be shifted relative to the reduced frequencies to build a master curve. From the master curve, it is possible to interpolate the modulus over an expanded frequency range 29 . Master curves can be built by the so-called time-temperature superposition principle (TTSP) when the frequency sweep tests are performed in the LVE region and the materials are thermorheologically simple 26 27 28 .…”

Section: Resultsmentioning

confidence: 99%

“…In materials research, these models are called constitutive equations. Many mathematical models have been built to properly describe types of master curves for bituminous materials, such as binders and concretes 26 29 . These models can be classified into two groups: empirical algebraic equations and mechanical element models (or analogical models).…”

Section: Resultsmentioning

confidence: 99%

Rubber-like Quasi-thermosetting Polyetheramine-cured Epoxy Asphalt Composites Capable of Being Opened to Traffic Immediately

Kang

Jin

et al. 2016

Sci Rep

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This paper reports the facile preparation, mechanical performance and linear viscoelasticity of polyetheramine-cured rubber-like epoxy asphalt composites (EACs) with different asphalt contents. Compared with previous EACs prepared via complex chemical reactions and time-consuming high-temperature curing, the EACs reported here were obtained by using a compatible, bi-functional polyetheramine and a simple physical co-blend process, which make the EACs feasibly scalable for production at a lower cost. The EACs were cured for 1 h at 160 °C and 3 d at 60 °C; therefore, these composites can be opened to traffic immediately. The EACs have a much greater temperature stability than common thermoplastic polymer-modified asphalt composites from −30 °C to 120 °C, but their complex shear moduli at higher temperatures slightly decrease instead of remaining constant when temperatures are greater than 80 °C, especially for the higher asphalt content composites; that is, these composites are quasi-thermosetting. Wicket plots illustrate that the EACs reported here are thermorheological simple materials, and the master curves are constructed and well-fitted by generalized logistic sigmoidal model functions. This research provides a facile, low-cost method for the preparation of polyetheramine-cured EACs that can be opened to traffic immediately, and the concept of quasi-thermosetting may facilitate the development of cheaper EACs for advanced applications.

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“…Material formulations based on rheological elements can be solved by stress to strain mappings, see for example, Oeser and Pellinien (2012). With respect to small strains, the whole strain of time step [ n ] can be split into its elastic (el), plastic (pl), viscoelastic (ve), and viscoplastic (vp) parts.…”

Section: Model‐free Materials Descriptionmentioning

confidence: 99%

Structural Analysis with Fuzzy Data and Neural Network Based Material Description

Graf

Freitag

Sickert

et al. 2012

Computer aided Civil Eng

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In the article, a new approach is presented utilizing artificial neural networks for uncertain time‐dependent structural behavior. Recurrent neural networks (RNNs) for fuzzy data can be trained by uncertain experimental data to describe arbitrary stress–strain–time dependencies. The benefit is a generalized formulation, which can be applied to describe the behavior of several materials without definition of a specific material model. Model‐free material descriptions can be used as numerical efficient material formulations within the finite element method. To perform fuzzy or fuzzy stochastic finite element analyses, a new approach is introduced. An ‐level optimization is utilized for signal computation and training of RNNs for fuzzy data. The applicability is demonstrated by means of examples.

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Computational framework for common visco-elastic models in engineering based on the theory of rheology

Cited by 41 publications

References 9 publications

Investigation Progresses and Applications of Fractional Derivative Model in Geotechnical Engineering

Investigation Progresses and Applications of Fractional Derivative Model in Geotechnical Engineering

Rubber-like Quasi-thermosetting Polyetheramine-cured Epoxy Asphalt Composites Capable of Being Opened to Traffic Immediately

Structural Analysis with Fuzzy Data and Neural Network Based Material Description

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