Journal article

Nonlinear Morphoelastic Plates I: Genesis of Residual Stress

Abstract:: Volumetric growth of an elastic body may give rise to residual stress. Here a rigorous analysis of the residual strains and stresses generated by growth in the axisymmetric Kirchhoff plate is given. 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.

Actions

Email

Email this record

Send the bibliographic details of this record to your email address.

Your Email
Please enter the email address that the record information will be sent to.

-
Your message (optional)
Please add any additional information to be included within the email.
Share
Cite

Cite this record

APA Style

McMahon, J., Goriely, A., & Tabor, M. (2010). Nonlinear Morphoelastic Plates I: Genesis of Residual Stress.

MLA Style

McMahon, J, et al. Nonlinear Morphoelastic Plates I: Genesis of Residual Stress. 2010.

Chicago Style

McMahon, J, A Goriely, and M Tabor. 2010. Nonlinear Morphoelastic Plates I: Genesis of Residual Stress.
Print

Access Document

Files:: finalOR12.pdf

(Preview, pdf, 637.3KB, Terms of use)

Authors

+ McMahon, J More by this author

Role:: Author

+ Goriely, A More by this author

Role:: Author

+ Tabor, M More by this author

Role:: Author

Publication date:: 2010-01-01

UUID:: uuid:8c75aec0-5db3-41fa-a405-adbb39f73b75
Local pid:: oai:eprints.maths.ox.ac.uk:975
Deposit date:: 2011-05-20
ARK identifier:: ark:/29072/ora_8c75aec05db341faa405adbb39f73b75

Terms of use

Copyright date:: 2010

Licence:: Terms and Conditions of Use for Oxford University Research Archive

Views and Downloads

About views and downloads

If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP