Micromorphic elasticity for an axisymetrically loaded cylindrical thick-walled structure under plane strain conditions
by Koffi Enakoutsa
International Journal of Theoretical and Applied Multiscale Mechanics (IJTAMM), Vol. 3, No. 2, 2018

Abstract: In this paper we derive a closed-form solution for the problem of a second gradient elastic circular thick-walled cylinder subjected to some axisymmetric loading conditions and deformed in plane strain. The second gradient elastic model used is the one of Gologanu, Leblond, Perrin and Devaux proposed some years ago and used in the context of the numerical implementation of a micromorphic model for ductile fracture in porous plastic metals. The ordinary Cauchy stress and 'hyperstress' tensors are computed as a function of the displacement field which is obtained via a suitable combination of the balance equations, compatibility, stress-strain/hyperstress-gradient of the strain relationships, and appropriate boundary conditions. The first gradient solution is recovered when the second gradient effects are negligible. This study demonstrates that the first gradient elastic solution may not be accurate, particularly in elastic materials exhibiting substantial microstructure dependence. Future works will use the newly derived solution to interpret the size effects experimentally observed, for instance, in pressurised sandstone hollow cylinders.

Online publication date: Wed, 28-Nov-2018

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Theoretical and Applied Multiscale Mechanics (IJTAMM):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com