Abstract
Continuum mechanics, including nonlinear continuum mechanics, studies the behavior of material bodies or continua. We can mathematically define a body as follows: it is a set \(\mathcal{B}\) consisting of elements \(\mathcal{M}\) called material points. The concept of a material point in continuum mechanics is primary, i.e. axiomatic, as is the concept of a geometrical point in elementary geometry.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media B.V.
About this chapter
Cite this chapter
Dimitrienko, Y.I. (2011). Introduction: Fundamental Axioms of Continuum Mechanics. In: Nonlinear Continuum Mechanics and Large Inelastic Deformations. Solid Mechanics and Its Applications, vol 174. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0034-5_1
Download citation
DOI: https://doi.org/10.1007/978-94-007-0034-5_1
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-0033-8
Online ISBN: 978-94-007-0034-5
eBook Packages: EngineeringEngineering (R0)