Gradient nanomechanics in civil engineering
Document Type
Article
Publication Date
1-1-2024
Abstract
A brief account on the motivation and development of gradient nanomechanics is provided, and various applications in civil engineering problems are discussed. This discussion is partly qualitative, and the corresponding mathematical models are given for simplicity in one spatial dimension (1D) so that elementary calculus suffices for their derivation and uses in benchmark configurations that will be addressed herein. Their extension to 3D is rather straight-forward by employing the apparatus of vector/tensor calculus and using invariant restrictions implied by frame indifference and symmetry requirements. The framework can be used as a starting point for the construction of new robust gradient deformation (elasticity, plasticity) and diffusion (mass, heat) processes at the nanoscale, which can govern macroscopic behavior of materials (metals, concrete) and structures (frames, beams).
Publication Title
Nanomechanics of Structures and Materials: Modeling and Analysis
ISBN
[9780443219498, 9780443219504]
Recommended Citation
Konstantinidis, A.,
&
Aifantis, E.
(2024).
Gradient nanomechanics in civil engineering.
Nanomechanics of Structures and Materials: Modeling and Analysis, 319-333.
http://doi.org/10.1016/B978-0-443-21949-8.00011-5
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p2/1062