Abstract
Volumetric growth of an elastic body may give rise to residual stress. Here a rigorous analysis is given of the residual strains and stresses generated by growth in the axisymmetric Kirchhoff plate. Balance equations are derived via the Global Constraint Principle, growth is incorporated via a multiplicative decomposition of the deformation gradient, and the system is closed by a response function. The particular case of a compressible neo-Hookean material is analyzed, and the existence of residually stressed states is established.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 812-832 |
| Number of pages | 21 |
| Journal | Mathematics and Mechanics of Solids |
| Volume | 16 |
| Issue number | 8 |
| DOIs | |
| State | Published - Oct 2011 |
Keywords
- Kirchhoff plates
- growth
- nonlinear elasticity
- residual stress
ASJC Scopus subject areas
- General Mathematics
- General Materials Science
- Mechanics of Materials
Fingerprint
Dive into the research topics of 'Nonlinear morphoelastic plates I: Genesis of residual stress'. Together they form a unique fingerprint.Cite this
- APA
- Standard
- Harvard
- Vancouver
- Author
- BIBTEX
- RIS