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Title: A novel nonlinear viscoelastic solid model
Authors: Chung, C.W.
Buist, M.L. 
Keywords: Mathematical model
Nonlinear viscoelasticity
Standard linear solid
Tri-exponential model
Zener model
Issue Date: Jun-2012
Citation: Chung, C.W., Buist, M.L. (2012-06). A novel nonlinear viscoelastic solid model. Nonlinear Analysis: Real World Applications 13 (3) : 1480-1488. ScholarBank@NUS Repository.
Abstract: The standard linear solid (SLS) model has been widely used to describe linear viscoelastic materials. Although the SLS can be extended to describe more complex phenomena through the inclusion of additional components, a compact model of nonlinear viscoelasticity remains elusive. Here, using the framework of the three component SLS model, the stressstrain relationships of the individual components have been generalised. This work describes the derivation of the new generalised model, termed nonlinear viscoelastic solid model, or NVS, that can potentially describe nonlinear viscoelastic phenomena in a compact differential form and reduces to the familiar SLS model if linear components are selected. As a proof of concept, exponential functions of strain and strain rate were selected for the three components and major viscoelastic phenomena such as stress relaxation, creep and sawtooth strain loading were simulated. Finally, to demonstrate its efficacy in describing biological tissue, the NVS model was used to simulate the cyclic loading of mammalian stomach and cardiac muscle tissues. © 2011 Elsevier Ltd. All rights reserved.
Source Title: Nonlinear Analysis: Real World Applications
ISSN: 14681218
DOI: 10.1016/j.nonrwa.2011.11.011
Appears in Collections:Staff Publications

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