Exact effective relations for dynamics of a laminated body

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Willis, J.R. “Exact Effective Relations for Dynamics of a Laminated Body”. Mechanics of Materials, vol. 41, no. 4, 2009, pp. 385-93, https://doi.org/10.1016/j.mechmat.2009.01.010.
Willis, J. (2009). Exact effective relations for dynamics of a laminated body. Mechanics of Materials, 41(4), 385-393. https://doi.org/10.1016/j.mechmat.2009.01.010
Willis, J.R. “Exact Effective Relations for Dynamics of a Laminated Body”. Mechanics of Materials 41, no. 4 (2009): 385-93. https://doi.org/10.1016/j.mechmat.2009.01.010.
Willis J. Exact effective relations for dynamics of a laminated body. Mechanics of Materials. 2009;41(4):385-93.
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Refrences
Title Journal Journal Categories Citations Publication Date
Microstructurally-based homogenization of electromagnetic properties of periodic media Comptes Rendus. Mécanique
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
16 2008
On modifications of Newton's second law and linear continuum elastodynamics

Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • Science: Science (General)
  • Science: Physics
391 2007
Homogenization of metamaterials by field averaging Journal of the Optical Society of America 2006
On cloaking for elasticity and physical equations with a transformation invariant form New Journal of Physics
  • Science: Physics
  • Science: Physics
  • Science: Physics
718 2006
Bounds on non-local effective relations for random composites loaded by configuration-dependent body force Journal of the Mechanics and Physics of Solids
  • Science: Chemistry
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Science: Physics
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General)
2000
Refrences Analysis
The category Science: Physics 8 is the most frequently represented among the references in this article. It primarily includes studies from Wave Motion and Journal of the Mechanics and Physics of Solids. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
A reduced-order computational homogenization framework for locally resonant metamaterial structures

Computational Mechanics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General)
2024
High-Order Two-Scale Asymptotic Paradigm for the Elastodynamic Homogenization of Periodic Composites Acta Mechanica Solida Sinica
  • Science: Chemistry
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Engineering (General). Civil engineering (General)
2024
Dynamics of elastic lattices with sliding constraints

Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • Science: Science (General)
  • Science: Physics
2024
Equivalence between general acoustic Willis media and conventional materials with embedded sources Physical Review B
  • Science: Chemistry
  • Science: Physics
  • Science: Physics
  • Technology: Chemical technology
  • Technology: Chemical technology
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials
  • Science: Physics
2024
Reduced relaxed micromorphic modeling of harmonically loaded metamaterial plates: investigating boundary effects in finite-size structures

Archive of Applied Mechanics
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
2023
Citations Analysis
The category Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics 61 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Negative effective dynamic mass-density and stiffness: Micro-architecture and phononic transport in periodic composites and was published in 2011. The most recent citation comes from a 2024 study titled A reduced-order computational homogenization framework for locally resonant metamaterial structures. This article reached its peak citation in 2023, with 10 citations. It has been cited in 38 different journals, 18% of which are open access. Among related journals, the Journal of the Mechanics and Physics of Solids cited this research the most, with 17 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year