Micro-to-macro transitions for continua with surface structure at the microscale

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autorinnen und Autoren: Javili A, McBride AT, Mergheim J, Steinmann P, Schmidt U
Zeitschrift: International Journal of Solids and Structures
Verlag: Elsevier
Jahr der Veröffentlichung: 2013
Band: 50
Heftnummer: 16-17
Seitenbereich: 2561-2572
ISSN: 0020-7683
Sprache: Englisch


Abstract


A geometrically non-linear framework for micro-to-macro transitions is developed that accounts for the effect of size at the microscopic scale. This is done by endowing the surfaces of the microscopic features with their own (energetic) structure using the theory of surface elasticity. Following a standard first-order ansatz on the microscopic motion in terms of the macroscopic deformation gradient, a Hill-type averaging condition is used to link the two scales. The surface elasticity theory introduces two additional microscopic length scales: the ratio of the bulk volume to the energetic surface area, and the ratio of the surface and bulk Helmholtz energies. The influence of these microscopic length scales is elucidated via a series of numerical examples performed using the finite element method. © 2013 Elsevier Ltd. All rights reserved.



FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Javili, Ali
Lehrstuhl für Technische Mechanik
Mergheim, Julia PD Dr.
Professur für Computational Mechanics
Schmidt, Ulrike
Lehrstuhl für Technische Mechanik
Steinmann, Paul Prof. Dr.-Ing.
Lehrstuhl für Technische Mechanik


Zusätzliche Organisationseinheit(en)
Exzellenz-Cluster Engineering of Advanced Materials


Forschungsbereiche

E Lightweight Materials
Exzellenz-Cluster Engineering of Advanced Materials
A3 Multiscale Modeling and Simulation
Exzellenz-Cluster Engineering of Advanced Materials


Zitierweisen

APA:
Javili, A., McBride, A.T., Mergheim, J., Steinmann, P., & Schmidt, U. (2013). Micro-to-macro transitions for continua with surface structure at the microscale. International Journal of Solids and Structures, 50(16-17), 2561-2572. https://dx.doi.org/10.1016/j.ijsolstr.2013.03.022

MLA:
Javili, Ali, et al. "Micro-to-macro transitions for continua with surface structure at the microscale." International Journal of Solids and Structures 50.16-17 (2013): 2561-2572.

BibTeX: 

Zuletzt aktualisiert 2018-26-07 um 08:23