Overall dynamic properties of three-dimensional periodic elastic composites

DOI10.1098/rspa.2011.0440zbMath1243.74167arXiv1105.5434OpenAlexW2101293360MaRDI QIDQ2901838

Ankit Srivastava, Sia Nemat-Nasser

Publication date: 31 July 2012

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.5434

zbMATH Keywords

wave propagationhomogenizationperiodic elastic composites

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Random materials and composite materials (74A40) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

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Cites Work

• Overall dynamic constitutive relations of layered elastic composites
• Bounds on the non-local effective elastic properties of composites
• Variational principles for dynamic problems for inhomogeneous elastic media
• Harmonic waves in three-dimensional elastic composites
• Microstructurally-based homogenization of electromagnetic properties of periodic media
• A variational approach to the theory of the elastic behaviour of polycrystals
• Effective Willis constitutive equations for periodically stratified anisotropic elastic media
• Effective constitutive relations for waves in composites and metamaterials
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• The Overall Elastic Response of Composite Materials
• Variational and Related Methods for the Overall Properties of Composites
• On modifications of Newton's second law and linear continuum elastodynamics
• ELLIPTIC ELASTIC INCLUSION IN AN INFINITE ELASTIC PLATE

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