Lower bounds of end effects for a nonhomogeneous isotropic linear elastic solid in anti-plane shear
In this paper we give lower bounds for the spatial decay of the solutions for anti-plane shear deformations in the case of isotropic inhomogeneous elastic materials. We first consider the case when the shear modulus only depends on the lateral direction. By means of the logarithmic convexity argumen...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/26875 |
| Acceso en línea: | https://hdl.handle.net/2117/26875 https://dx.doi.org/10.1177/1081286514544256 |
| Access Level: | acceso abierto |
| Palabra clave: | Elastic solids--Mathematics Integral equations--Numerical solutions Spatial decay rates Inhomogeneous boundary value problems Lower bounds Anti-plane shear deformations Logarithmic convexity argument Sòlids elàstics Equacions integrals Classificació AMS::45 Integral equations Classificació AMS::74 Mechanics of deformable solids Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| Sumario: | In this paper we give lower bounds for the spatial decay of the solutions for anti-plane shear deformations in the case of isotropic inhomogeneous elastic materials. We first consider the case when the shear modulus only depends on the lateral direction. By means of the logarithmic convexity arguments we obtain the required estimates. Some pictures illustrate our results. We also study the general inhomogeneity. We give some lower bounds whenever shear modulus satisfies several requirements. |
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