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contributor authorCorman, R. E.
contributor authorRao, Lakshmi
contributor authorAshwin Bharadwaj, N.
contributor authorAllison, James T.
contributor authorEwoldt, Randy H.
date accessioned2017-05-09T01:30:58Z
date available2017-05-09T01:30:58Z
date issued2016
identifier issn1050-0472
identifier othermd_138_05_051402.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/161779
description abstractRheologically complex materials are described by functionvalued properties with dependence on a timescale (linear viscoelasticity), input amplitude (nonlinear material behavior), or more generally both (nonlinear viscoelasticity). This complexity presents a difficulty when trying to utilize these material systems in engineering designs. Here, we focus on linear viscoelasticity and a methodology to identify the desired viscoelastic behavior. This is an earlystage design step to optimize target (functionvalued) properties before choosing or synthesizing a real material. In linear viscoelasticity, it is not obvious which properties can be treated as independent design variables. Thus, it is nontrivial to select the most designappropriate constitutive model, to be as general as possible, but not violate fundamental restrictions. We use the Kramers–Kronig constraint to show that frequencydependent moduli (e.g., shear moduli G′(د‰) and G″(د‰)) cannot be treated as two independent design variables. Rather, a single function such as the relaxation modulus (e.g., K(t) for forcerelaxation or G(t) for stress relaxation) is an appropriate functionvalued design variable. A simple case study is used to demonstrate the framework in which we identify target properties for a vibration isolation system. Viscoelasticity improves performance. Different parameterizations of the kernel function are optimized and compared for performance. While parameterization may limit the generality of the kernel function, we do include a nonobvious representation (power law) that is found in real viscoelastic material systems and in the springdashpot paradigm would require an infinite number of components. Our methodology provides a means to answer the question, “What viscoelastic properties are desirable?â€‌ This ability to identify targeted behavior will be useful for subsequent stages of the design process including the selection or synthesis of real materials.
publisherThe American Society of Mechanical Engineers (ASME)
titleSetting Material Function Design Targets for Linear Viscoelastic Materials and Structures
typeJournal Paper
journal volume138
journal issue5
journal titleJournal of Mechanical Design
identifier doi10.1115/1.4032698
journal fristpage51402
journal lastpage51402
identifier eissn1528-9001
treeJournal of Mechanical Design:;2016:;volume( 138 ):;issue: 005
contenttypeFulltext


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