Abstract
Within the confines of continuum mechanics, a purely geometric argument leads to the definition of strain and the concept of balance of momentum leads to the definition of stress. The relationship between strain and the motion does not depend upon stress. The relationship between stress and the applied force does not depend upon strain. As such, the equations of kinematics and equilibrium do not completely characterize the mechanical response of a solid body. We must introduce another relationship to complete the theory. An equation that relates stress and strain is called a constitutive hypothesis or constitutive model.
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Additional Reading
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(2005). Elastic Constitutive Theory. In: Fundamentals of Structural Mechanics. Springer, Boston, MA. https://doi.org/10.1007/0-387-23331-8_4
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DOI: https://doi.org/10.1007/0-387-23331-8_4
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-23330-7
Online ISBN: 978-0-387-23331-4
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