Micro-to-macro transitions for heterogeneous material layers accounting for in-plane stretch

McBride, A. , Mergheim, J., Javili, A., Steinmann, P. and Bargmann, S. (2012) Micro-to-macro transitions for heterogeneous material layers accounting for in-plane stretch. Journal of the Mechanics and Physics of Solids, 60(6), pp. 1221-1239. (doi: 10.1016/j.jmps.2012.01.003)

Abstract

The computational micro-to-macro transition framework couples heterogeneities on the microscopic scale to the macroscopic response of a continuum. The objective here is to apply this framework to macroscopic material layers capable of undergoing an in-plane stretch in addition to the normal opening mode. This is achieved using the continuum interface theory of Gurtin and Murdoch (1975) which endows the interface with its own energetic structure. The relation of the macroscopic kinematic descriptors of the interface deformation to the averaged underlying microscopic quantities is consistently derived using the Hill-type averaging theorem. Key features of the theory are elucidated using a series of three-dimensional numerical examples. ?? 2012 Elsevier Ltd.

• Item Type: Articles
• Additional Information: The financial support of the German Science Foundation (Deutsche Forschungsgemeinschaft, DFG), Grant STE 544/39-1, is gratefully acknowledged. The first author thanks the National Research Foundation of South Africa for their support.
• Keywords: Constitutive behaviour,Finite elements,Micro-to-macro transitions,Microstructures
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: McBride, Professor Andrew
• Authors: McBride, A., Mergheim, J., Javili, A., Steinmann, P., and Bargmann, S.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: Journal of the Mechanics and Physics of Solids
• Publisher: Elsevier
• ISSN: 0022-5096