Abstract
The purpose of the present chapter is to formulate incremental equations of nonlinear elasticity. These equations are useful for analysis of superimposed small deformations . Such deformations can tell the story of material stability. A common approach of linear stability analysis in continuum mechanics is based on the consideration of growth or decay of superimposed deformations (perturbations).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsNotes
- 1.
We use the blackboard letter \(\mathbb {A}\) for the symbolic notation of the fourth-order tensor.
References
Barenblatt GI, Joseph DD (eds) (1997) Collected papers of R. S. Rivlin, vol 1–2. Springer, Berlin
Bigoni D (2012) Nonlinear solid mechanics: bifurcation theory and material instability. Cambridge University Press, Cambridge
Destrade M, Saccomandi G (eds) (2007) Waves in nonlinear pre-stressed materials. Springer, Berlin
Ogden RW (1997) Non-linear elastic deformations. Dover, New York
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer Science+Business Media Singapore
About this chapter
Cite this chapter
Volokh, K. (2016). Incremental Equations. In: Mechanics of Soft Materials. Springer, Singapore. https://doi.org/10.1007/978-981-10-1599-1_6
Download citation
DOI: https://doi.org/10.1007/978-981-10-1599-1_6
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-1598-4
Online ISBN: 978-981-10-1599-1
eBook Packages: EngineeringEngineering (R0)