Abstract
Cauchy’s equations of motion (4.3.3)–(4.3.4) are general conditions that are satisfied by motions of all materials within the framework of the present model. However, even though these equations of motion are general, different types of material react differently to a given motion. Different materials are characterized by specific distinguishing relations between a motion and the resulting stress. In this chapter we introduce several classical examples of such stress constitutive relations. These examples will serve to motivate and illustrate the general discussion on stress constitutive relations given in later sections beginning in Chapter 6.
[I]n mechanics and electromagnetism, recognition of a major gap...led to a clear concept and exploitation of the role of constitutive relations.... [A] key problem well solved was father to a new key problem posed; growth in concept matched the growth of special cases mastered...
Truesdell (1980)
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© 1993 Springer Science+Business Media Dordrecht
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Smith, D.R. (1993). Examples on Stress Constitutive Relations. In: An Introduction to Continuum Mechanics — after Truesdell and Noll . Solid Mechanics and Its Applications, vol 22. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0713-8_6
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DOI: https://doi.org/10.1007/978-94-017-0713-8_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4314-6
Online ISBN: 978-94-017-0713-8
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