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Kinematics and Equations of Balance

A Quick Review of Continuum Mechanics

  • Chapter
Understanding Viscoelasticity

Part of the book series: Graduate Texts in Physics ((GTP))

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Abstract

In this chapter, we learn how to describe fluid motion, i.e., the kinematics of fluid particles in motion. This naturally leads to the concept of deformation gradient and different strain measures, including left and right Cauchy–Green, and Rivlin–Ericksen tensors. We discover that any flow must satisfy equations of balance, namely the conservation of mass, momentum and energy.

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Phan-Thien, N. (2013). Kinematics and Equations of Balance. In: Understanding Viscoelasticity. Graduate Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32958-6_3

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