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Title:Continuous relaxation spectra and its reduced-dimensionality descriptions for engineering design with linear viscoelasticity
Author(s):Lee, Yong Hoon; Corman, R. E.; Ewoldt, Randy H.; Allison, James T.
Reduced dimensionality
Continuous spectrum
Relaxation spectrum
Material characterization
Abstract:Designing with rheologically-complex materials, in particular, linear viscoelastic fluids, requires a material description with parameters that are simple and uniquely represent material characteristics. In this study, we introduce a mathematical framework for the continuous relaxation spectra representation, and demonstrate that this material description is a design-appropriate and an independently-controllable material representation for linear viscoelasticity. Using continuous relaxation spectra in design offers the benefit of intrinsically limiting material design candidates to physically meaningful options. Next, we introduce a reduced-dimension representation of the continuous relaxation spectra representation for designers to aid interpretation of material design, providing valuable information for the material selection problem. This lower-dimensional representation is based on the integral moments of modulus-weighted spectra and their equivalence with viscosity-weighted spectra. To demonstrate how these concepts can be used in engineering system design, we solve simple test cases of design optimization problems using the continuous relaxation spectra representation and analyze the results using the reduced-dimension material representation. The design-appropriate material description and the reduced-dimension linear viscoelastic material representation supports enhanced intuition for designing with linear viscoelastic materials, which may help expand the appropriate use of these materials in engineering design.
Issue Date:2019-11-13
Citation Info:Lee YH, Corman RE, Ewoldt RH and Allison JT. Continuous relaxation spectra and its reduced-dimensionality descriptions for engineering design with linear viscoelasticity. In 26th Symposium on Fluid Mechanics and Rheology of Nonlinear Materials and Complex Fluids, ASME IMECE, Salt Lake City, UT, USA, November 11-14, 2019.
Genre:Presentation / Lecture / Speech
Conference Paper / Presentation
Sponsor:This material is partially based upon work supported by the National Science Foundation under Grant No. CMMI-1463203.
Rights Information:Copyright © 2019 Yong Hoon Lee. All rights reserved.
Date Available in IDEALS:2020-02-24

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