Modelling of viscoelastic materials and creep behaviour

Morro, Angelo

doi:10.1007/s11012-016-0585-x

Cited by 12 publications

(9 citation statements)

References 4 publications

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“…It is important to note that the most frequently used quasi-linear viscoelastic models [ 36 , 37 ], such as the standard Maxwell–Wiechert viscoelastic solid model (which is a generalization of the Maxwell model) and the Kelvin–Voigt model or the Burgers model (which generalizes it) predict that for a small strain, the YM should not vary significantly. For QLVE models containing a nonlinear part, such as the viscoelastic Fung model presented in Section 2.3 , the computations are more complicated and are presented in Appendix A , but essentially the same conclusion is achieved, as is shown in Figure 7 .…”

Section: Discussionmentioning

confidence: 99%

Mechanical Behavior of Blood Vessels: Elastic and Viscoelastic Contributions

Sánchez-Molina

García-Vilana

Llumà

et al. 2021

Biology

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The mechanical properties of the cerebral bridging veins (CBVs) were studied using advanced microtensile equipment. Detailed high-quality curves were obtained at different strain rates, showing a clearly nonlinear stress–strain response. In addition, the tissue of the CBVs exhibits stress relaxation and a preconditioning effect under cyclic loading, unequivocal indications of viscoelastic behavior. Interestingly, most previous literature that conducts uniaxial tensile tests had not found significant viscoelastic effects in CBVs, but the use of more sensitive tests allowed to observe the viscoelastic effects. For that reason, a careful mathematical analysis is presented, clarifying why in uniaxial tests with moderate strain rates, it is difficult to observe any viscoelastic effect. The analysis provides a theoretical explanation as to why many recent studies that investigated mechanical properties did not find a significant viscoelastic effect, even though in other circumstances, the CBV tissue would clearly exhibit viscoelastic behavior. Finally, this study provides reference values for the usual mechanical properties, as well as calculations of constitutive parameters for nonlinear elastic and viscoelastic models that would allow more accurate numerical simulation of CBVs in Finite Element-based computational models in future works.

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Section: Discussionmentioning

confidence: 99%

Mechanical Behavior of Blood Vessels: Elastic and Viscoelastic Contributions

Sánchez-Molina

García-Vilana

Llumà

et al. 2021

Biology

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“…In viscoelastic materials, some rate dependent deformation occurs along with the recoverable elastic deformation coexists. As such, a linear combination of springs and dampers (damped mechanical oscillators) is used in lumped modeling of viscoelastic materials . The springs are used to represent elastic recoverable behavior, while dampers are used for capturing the rate of dissipative deformation under constant force.…”

Section: Introductionmentioning

confidence: 99%

“…Several rheological models have been proposed for modeling the time-dependent stress and strain evolution in polymers. Each model has its own arrangement of springs and dampers, and all of these are modeled by equivalent electrical circuits . These models include generalized Maxwell (GM), generalized Kelvin–Voigt (GK), and Burger (BR) models.…”

Section: Introductionmentioning

confidence: 99%

Engineering Viscoelasticity in Autoregulatory Nanoscale Wrinkling Bilayer Hydrogel Systems: Pressure Sensors and Thermal-Responsive Drug Delivery Systems

Mousavikhamene

Schatz

2022

ACS Appl. Nano Mater.

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This paper explains the wrinkling behavior of a bilayer system comprised of a soft, thick hydrogel on a hard thin skin in which the hydrogel has viscoelastic properties. The role of external stress and viscoelastic properties on the morphology of nanoscale wrinkles is discussed in a time-dependent mechanical and thermomechanical framework and compared with the corresponding results from a linear elastic treatment of the hydrogel. Our results show that the strain rate and magnitude of strain have substantial impact on nanoscale wrinkle morphology when viscoelasticity of the substrate is included in the model. As such, engineering the relaxation time through the material synthesis process or material selection plays an important role. This is important to modeling an autoregulatory humidity sensing device that was previously developed by our group and others, where the formation of humidity-dependent nanoscale wrinkles tunes the transmission or scattering of light through the substrate, thereby enabling a plasmonic nanoparticle array to switch on or off plasmonic heating of the system that generates or removes the nanoscale wrinkles. Three different lumped viscoelastic models are applied: generalized Maxwell (GM), generalized Kelvin–Voigt (GK), and Burger (BR) models. Time evolution analysis of these models, including comparison with the validated linear elastic model at high relaxation time and with experimental data, shows best agreement with the GK result. Finally, we quantitatively demonstrate how the morphology of nanoscale wrinkles that is accessible to viscoelastic models can adjust the light transmission across the substrate by amounts that are useful for the autoregulatory device. This viscoelastic modeling will enable more quantitative predictions and design principles for taking advantage of responsive materials such as for pressure or humidity sensors or thermal-responsive drug delivery systems.

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“…e application of some relatively simple rheological models has been studied in some cases [19][20][21][22]. Morro [23] concluded that a spring-dashpot model (i.e., the Maxwell model in parallel with a dashpot) showed a constant strain rate during the secondary stage. Justo and Durand [24] obtained settlement expressions with the standard linear solid rheological model for one-dimensional settlements of an embankment during and after construction.…”

Section: Introductionmentioning

confidence: 99%

Application of a Viscoelastic Model to Creep Settlement of High‐Fill Embankments

Jia

Huang

2019

Advances in Civil Engineering

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In order to predict the creep settlement of high-fill embankments, the time-dependent viscoelastic model of Poynting–Thomson (the standard linear solid) has been chosen to represent the creep behavior of soils. In the present study, the hereditary integral was applied to calculate the strain while the load increase is varied with time. Calculation expressions of the creep settlement of an embankment during and after construction were obtained under one-dimensional compression conditions. Using this approach, the three parameters of every layer can be determined and adjusted to accommodate in situ monitoring data. The calculated results agreed well with those from the field, which imply that the method proposed in this paper can give a precise prediction of creep settlement of high-fill embankments.

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Modelling of viscoelastic materials and creep behaviour

Cited by 12 publications

References 4 publications

Mechanical Behavior of Blood Vessels: Elastic and Viscoelastic Contributions

Mechanical Behavior of Blood Vessels: Elastic and Viscoelastic Contributions

Engineering Viscoelasticity in Autoregulatory Nanoscale Wrinkling Bilayer Hydrogel Systems: Pressure Sensors and Thermal-Responsive Drug Delivery Systems

Application of a Viscoelastic Model to Creep Settlement of High‐Fill Embankments

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