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Details of Grant 

EPSRC Reference: EP/W007150/1
Title: A rational reduced model for elastic layers and its application in pattern formation analysis
Principal Investigator: Fu, Professor Y
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Faculty of Natural Sciences
Organisation: Keele University
Scheme: Standard Research - NR1
Starts: 01 April 2022 Ends: 31 March 2023 Value (£): 52,383
EPSRC Research Topic Classifications:
Continuum Mechanics Eng. Dynamics & Tribology
Non-linear Systems Mathematics
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:
Panel DatePanel NameOutcome
02 Aug 2021 EPSRC Mathematical Sciences Small Grants Panel August 2021 Announced
Summary on Grant Application Form
Stress-induced wrinkling patterns at micro- and sub-micro-scales have a growing variety of applications ranging from cell patterning, optical gratings, creation of surfaces with desired wetting and adhesion properties, to buckling-based metrology. Although much progress has been made in recent decades, a deeper understanding of the pattern formation mechanisms has been hampered by the complexity of the governing equations. This proposal aims to

break a bottleneck in the mathematical modelling of pattern formation in film-substrate bilayers. We will derive a rational reduced model for the film behaviour under the frameworks of nonlinear elasticity and Stroh formalism that incorporates nonlinearity, anisotropy, and pre-stretch in a self-consistent manner. The power of the new model will be illustrated by analysing period-doubling secondary bifurcation and ridge formation that have been much studied but not yet fully understood.
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Organisation Website: http://www.keele.ac.uk