Abstract
Conservation laws must be fulfilled for mass, momentum, angular momentum, etc. during a deformation. These laws are described first in detail. Then, the Cauchy stress tensor is defined and further, based on it, various stresses are derived. Introducing the stress tensor, the equilibrium equations of force and moment are formulated from the conservation rules. The virtual work principle required for the analyses of boundary value problems are also described in this chapter.
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© 2009 Springer-Verlag Berlin Heidelberg
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Hashiguchi, K. (2009). Conservation Laws and Stress Tensors. In: Elastoplasticity Theory. Lecture Notes in Applied and Computational Mechanics, vol 42. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00273-1_3
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DOI: https://doi.org/10.1007/978-3-642-00273-1_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-00272-4
Online ISBN: 978-3-642-00273-1
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