{"id":"https://openalex.org/G4792303232","display_name":"A rational reduced model for elastic layers and its application in pattern formation analysis","description":"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\nbreak 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.","funder_award_id":"EP/W007150/1","funder":{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","doi":"10.13039/501100000266"},"funded_outputs":["https://openalex.org/W4328053027","https://openalex.org/W4362639414","https://openalex.org/W4388906764","https://openalex.org/W4391884077","https://openalex.org/W4399947010","https://openalex.org/W4403286501","https://openalex.org/W4407318182","https://openalex.org/W7218568858"],"funded_outputs_count":8,"parent_awards":[],"sub_awards":[],"sub_awards_count":0,"amount":52382.0,"currency":"GBP","amount_usd":63601.81,"amount_usd_basis":"daily_rate","recipients":[{"id":"https://openalex.org/I56007636","display_name":"Keele University","ror":"https://ror.org/00340yn33","country_code":"GB","roles":["lead"],"share":null,"basis":"affiliation_matcher","asserted_by":"funder"}],"recipient_countries":[{"country_code":"GB","share":1.0,"amount_usd":63601.81,"basis":"organisation_location"}],"recipient_regions":[],"research_scope":{"is_research":true,"basis":"funder_default","tier":1},"funding_type":"research","funder_scheme":null,"start_date":"2022-07-31","end_date":"2024-04-29","start_year":2022,"end_year":2024,"landing_page_url":"https://gtr.ukri.org/projects?ref=EP/W007150/1","doi":null,"provenance":"gateway_to_research","lead_investigator":null,"co_lead_investigator":null,"investigators":null,"works_api_url":"https://api.openalex.org/works?filter=awards.id:G4792303232","primary_topic":{"id":"https://openalex.org/T11737","display_name":"Advanced Materials and Mechanics","score":0.9282,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11737","display_name":"Advanced Materials and Mechanics","score":0.9282,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"institution_awarded":[],"updated_date":"2026-10-17T03:01:12.000Z","created_date":"2026-07-13T04:25:00.000Z"}