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Lower bounds of end effects for a nonhomogeneous isotropic linear elastic solid in anti-plane shear

Autor
Leseduarte, M. C.; Quintanilla, R.
Tipus d'activitat
Article en revista
Revista
Mathematics and mechanics of solids
Data de publicació
2015-02-01
Volum
20
Número
2
Pàgina inicial
140
Pàgina final
156
DOI
https://doi.org/10.1177/1081286514544256 Obrir en finestra nova
Projecte finançador
Análisis matemático de las ecuaciones en derivadas parciales de la termomecánica
Repositori
http://hdl.handle.net/2117/26875 Obrir en finestra nova
URL
http://mms.sagepub.com/content/20/2/140 Obrir en finestra nova
Resum
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.
Citació
Leseduarte, M. C.; Quintanilla, R. Lower bounds of end effects for a nonhomogeneous isotropic linear elastic solid in anti-plane shear. "Mathematics and mechanics of solids", 01 Febrer 2015, vol. 20, núm. 2, p. 140-156.
Paraules clau
Anti-plane shear deformations, Inhomogeneous boundary value problems, Logarithmic convexity argument, Lower bounds, Spatial decay rates
Grup de recerca
GRAA - Grup de Recerca en Anàlisi Aplicada

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