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A computational multiscale homogenization framework accounting for inertial effects: application to acoustic metamaterials modelling

Author
Roca, D.; Lloberas-Valls, O.; Cante, J.C.; Oliver, J.
Type of activity
Journal article
Journal
Computer methods in applied mechanics and engineering
Date of publication
2018-03
Volume
330
First page
415
Last page
446
DOI
https://doi.org/10.1016/j.cma.2017.10.025 Open in new window
Project funding
COMP-DES-MAT (Advanced tools for computational design of engineering materials)
Repository
http://hdl.handle.net/2117/111284 Open in new window
https://www.researchgate.net/publication/321074907_A_computational_multiscale_homogenization_framework_accounting_for_inertial_effects_Application_to_acoustic_metamaterials_modelling Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0045782517306989 Open in new window
Abstract
A framework, based on an extended Hill–Mandel principle accounting for inertial effects (Multiscale Virtual Work principle), is developed for application to acoustic problems in the context of metamaterials modelling. The classical restrictions in the mean values of the micro-displacement fluctuations and their gradients are then accounted for in a saddle-point formulation of that variational principle in terms of Lagrange functionals. A physical interpretation of the involved Lagrange multipl...
Citation
Roca, D., Lloberas-Valls, O., Cante, J.C., Oliver, J. A computational multiscale homogenization framework accounting for inertial effects: application to acoustic metamaterials modelling. "Computer methods in applied mechanics and engineering", Març 2018, vol. 330, p. 415-446.
Keywords
Multiscale modelling Computational homogenization Inertial problems Acoustic metamaterials Local resonance phenomena COMP-DES-MAT Project COMPDESMAT Project
Group of research
(MC)2 - UPC Computational continuum mechanics
RMEE - Strength of Materials and Structural Engineering Research Group

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