contributor author | Pahari, Basanta R. | |
contributor author | Stanisauskis, Eugenia | |
contributor author | Mashayekhi, Somayeh | |
contributor author | Oates, William | |
date accessioned | 2023-11-29T18:53:27Z | |
date available | 2023-11-29T18:53:27Z | |
date copyright | 5/23/2023 12:00:00 AM | |
date issued | 5/23/2023 12:00:00 AM | |
date issued | 2023-05-23 | |
identifier issn | 0021-8936 | |
identifier other | jam_90_8_081009.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4294442 | |
description abstract | Entropy dynamics is a Bayesian inference methodology that can be used to quantify time-dependent posterior probability densities that guide the development of complex material models using information theory. Here, we expand its application to non-Gaussian processes to evaluate how fractal structure can influence fractional hyperelasticity and viscoelasticity in elastomers. We investigate how kinematic constraints on fractal polymer network deformation influences the form of hyperelastic constitutive behavior and viscoelasticity in soft materials such as dielectric elastomers, which have applications in the development of adaptive structures. The modeling framework is validated on two dielectric elastomers, VHB 4910 and 4949, over a broad range of stretch rates. It is shown that local fractal time derivatives are equally effective at predicting viscoelasticity in these materials in comparison to nonlocal fractional time derivatives under constant stretch rates. We describe the origin of this accuracy that has implications for simulating large-scale problems such as finite element analysis given the differences in computational efficiency of nonlocal fractional derivatives versus local fractal derivatives. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | An Entropy Dynamics Approach for Deriving and Applying Fractal and Fractional Order Viscoelasticity to Elastomers | |
type | Journal Paper | |
journal volume | 90 | |
journal issue | 8 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.4062389 | |
journal fristpage | 81009-1 | |
journal lastpage | 81009-12 | |
page | 12 | |
tree | Journal of Applied Mechanics:;2023:;volume( 090 ):;issue: 008 | |
contenttype | Fulltext | |