Relaxed loading conditions for higher order homogenisation approaches

The present paper deals with the formulation of minimal loading conditions for the application of numerical homogenisation techniques, namely the FE methodology -- Based on the set of volume averaging rules connecting the heterogeneous micro and the homogeneous macro scale, the minimal constraints on the deformation of a micro volume are derived for a classical Cauchy as well as for a micromorphic overall continuum theory -- For both cases, numerical studies are included highlighting the main aspects of the proposed procedure

• Autores: Jänicke, Ralf; Uribe, David; Ruíz, Óscar E.; Steeb, Holger
• Fecha de publicación: 2011
• Institución: Universidad EAFIT
• Repositorio: Repositorio EAFIT
• Idioma: eng
• OAI Identifier: oai:repository.eafit.edu.co:10784/9680
• Acceso en línea: http://hdl.handle.net/10784/9680
• Palabra clave: INTEGRALES DE CAUCHY; DERIVADAS (MATEMÁTICAS); ECUACIONES DIFERENCIALES; SERIES DE DIRICHLET; DEFORMACIONES (MECÁNICA); ANÁLISIS NUMÉRICO; Cauchy Integralse; Differential equations; Series, dirichlet; Deformations (mechanics); Numerical analysis; Cauchy Integralse; Differential equations; Series; dirichlet; Deformations (mechanics); Numerical analysis; Homogeneización; Límites de Voigt
• License: 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim