NDLI: General Considerations in the Constitutive Theories for Solids and Fluids

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General Considerations in the Constitutive Theories for Solids and Fluids

Content Provider	Scilit
Author	Surana, Karan S.
Copyright Year	2016
Description	Historically, the development of the constitutive theories began with phenomenological approaches in which observed physics is described using various combinations of springs and dash-pots in series and/or parallel. In the early and subsequent developments, these models enjoyed a large degree of success in giving mathematical form to various observed physical behaviors for one-dimensional cases with infinitesimal deformation. This approach, though simple, has many serious drawbacks: (i) the extensions of these one-dimensional constitutive models to continuous media in two and three dimensions are generally not possible and (ii) these models have no thermodynamic basis, i.e. in their derivations, entropy inequality is not considered. Thus, when such constitutive models are used in conjunction with the mathematical models derived using conservation and balance laws, the resulting mathematical models may not ensure thermodynamic equilibrium during evolution. For viscoelastic fluids and solids, the integral constitutive models using the phenomenological approach have also been derived and are used. These constitute models also have similar shortcomings. In this book, we do not address phenomenological constitutive models. Interested readers are encouraged to see references [9, 10,14]. Book Name: Advanced Mechanics of Continua
Related Links	https://content.taylorfrancis.com/books/download?dac=C2014-0-34755-7&isbn=9780429069666&doi=10.1201/b17959-12&format=pdf
Ending Page	324
Page Count	18
Starting Page	307
DOI	10.1201/b17959-12
Language	English
Publisher	Informa UK Limited
Publisher Date	2016-04-27
Access Restriction	Open
Subject Keyword	Book Name: Advanced Mechanics of Continua Mechanical Engineering Evolution Models Thermodynamic Theories Behaviors Constitutive Phenomenological Approach Fluids and Solids
Content Type	Text
Resource Type	Chapter

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