Saint-Venant decay rates for a non-homogeneous isotropic mixture of elastic solids in anti-plane shear |
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| Institution: | 1. Linking Landscape, Environment, Agriculture and Food (LEAF), Instituto Superior de Agronomia (ISA), Universidade de Lisboa, Lisbon 1349-017, Portugal;2. IRTA-Mas Badia Field Station, La Tallada de l''Empordà, Girona 17134, Spain;3. PCFruit Research Station, Sint-Truiden BE-3800, Belgium;4. PlantStress & Biodiversity Lab, Centro de Estudos Florestais (CEF), Instituto Superior Agronomia (ISA), Universidade de Lisboa, Lisboa 1349-017, Portugal;5. Unidade de Geobiociências, Geoengenharias e Geotecnologias (GeoBioTec), Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Caparica 2829-516, Portugal;6. IRTA Fruitcentre, PCiTAL, Park of Gardeny, Fruitcentre Building, Lleida 25003, Spain;1. IRTA, Veïnat de Sies S/N, 17121 Monells, Spain;2. CICYTEX-La Orden, 06187 Guadajira, Spain;3. UAB, Veterinary School, Campus Universitat Autònoma de Barcelona, 08193, Cerdanyola del Vallès, Spain;4. IRTA-Food Industries, Finca Camps i Armet, 17121 Monells, Spain;1. Institute of Agrifood Research and Technology (IRTA) Fruitcentre, Lleida, Spain;2. Ctifl, Centre de Balandran, Bellegarde, France;3. Diascope, INRAe, Montpellier, France;4. Univ Montpellier, INRAE, Montpellier, France;5. AGAP, Univ Montpellier, CIRAD, INRAE, L''Institut Agro, Montpellier, France;1. Skeletal Biology Group, Comparative Biomedical Sciences, The Royal Veterinary College, Royal College Street, London, NW1 0TU, UK;2. Institute of Ageing and Chronic Disease, University of Liverpool, West Derby Street, Liverpool L7 8TX, UK;3. Universidade Federal de Mato Grosso (UFMT), Departamento de Clínica, Cuiabá, Brazil;4. Department of Orthopaedics & Traumatology, The University of Hong Kong, Pok Fu Lam, Hong Kong;5. Manchester X-Ray Imaging Facility, University of Manchester, Manchester, UK;6. Department of Pathology, College of veterinary Medicine, King Faisal University, Al-Hofuf, Saudi Arabia |
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| Abstract: | The purpose of this research is to investigate the influence of material inhomogeneity on the decay of Saint-Venant end effects in anti-plane shear deformations of linear isotropic mixtures of elastic solids. The work is motivated by the recent research activity on functionally graded materials (FGMs), i.e. materials with spatially varying properties tailored to satisfy particular engineering applications. The spatial decay of solutions of a boundary value problem with variable coefficients on a semi-infinite strip is investigated. The results may be interpreted in terms of a Saint-Venant principle for anti-plane shear deformations of linear isotropic mixtures of elastic solids. |
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