Skip to main content

Research Repository

Advanced Search

A geometrically-exact Finite Element Method for micropolar continua with finite deformations

O'Hare, Ted J.; Gourgiotis, Panos A.; Coombs, William M.; Augarde, Charles E.

A geometrically-exact Finite Element Method for micropolar continua with finite deformations Thumbnail


Authors

Profile Image

Ted O'Hare ted.o'hare@durham.ac.uk
PGR Student Doctor of Philosophy

Panos A. Gourgiotis



Abstract

Micropolar theory is a weakly non-local higher-order continuum theory based on the inclusion of independent (micro-)rotational degrees of freedom. Subsequent introduction of couple-stresses and an internal length scale mean the micropolar continuum is therefore capable of modelling size effects. This paper proposes a non-linear Finite Element Method based on the spatial micropolar equilibrium equations, but using the classical linear micropolar constitutive laws defined in the reference configuration. The method is verified rigorously with the Method of Manufactured Solutions, and quadratic Newton-Raphson convergence of the minimised residuals is demonstrated.

Presentation Conference Type Conference Paper (unpublished)
Conference Name UKACM 2023
Start Date Apr 19, 2023
End Date Apr 21, 2023
Deposit Date Jul 3, 2023
Publicly Available Date Jul 4, 2023
Public URL https://durham-repository.worktribe.com/output/1133673
Publisher URL https://sites.google.com/view/ukacm2023conference

Files






You might also like



Downloadable Citations