منابع مشابه
On homogenization of activated laminates in 1D-space and time
In this paper, I discuss observations indicating that homogenization, in its standard version based on weak compactness, generally does not work for dynamic materials with arbitrary material geometry. A remarkable exception is represented by the spatial-temporal laminates where such compactness can be established. For the slow (timelike) laminates, this was done in [18] with the use of energy b...
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در این پایان نامه رنگ آمیزی دینامیکی یک گراف را بیان و مطالعه می کنیم. یک –kرنگ آمیزی سره ی رأسی گراف g را رنگ آمیزی دینامیکی می نامند اگر در همسایه های هر رأس v?v(g) با درجه ی حداقل 2، حداقل 2 رنگ متفاوت ظاهر شوند. کوچکترین عدد صحیح k، به طوری که g دارای –kرنگ آمیزی دینامیکی باشد را عدد رنگی دینامیکی g می نامند و آنرا با نماد ?_2 (g) نمایش می دهند. مونت گمری حدس زده است که تمام گراف های منتظم ...
15 صفحه اولCompensated compactness for homogenization and reduction of dimension: The case of elastic laminates
The aim of this paper is to extend, to the linear elasticity system, the asymptotic analysis by compensated compactness previously developed by the authors for the linear diffusion equation. For simplicity, we restrict ourselves to stratified media. In the case of sole homogenization we recover the classical result of W.H. Mc Connel, deriving explicitly the effective elasticity tensor for strat...
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Multi-resolution approach is used to derive homogenized (large scale) formulation for propagation of waves in complex laminates. Basic entities such as boundary conditions, spatial and temporal spectrum (eigenvalues and resonances), Wronskian, modal expansions, and Green function representations associated with the homogenized formulation are discussed. The relations between them and their gene...
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The frequency dependence of the effective permittivities of simple dielectric composites is evaluated by different quasidynamic homogenization methods. Three retrieval approaches based on the scattering parameters are proposed for dielectric materials. A compensation method for the conventional Nicolson-Ross-Weir (NRW) retrieval is applied to eliminate the FabryPérot (FP) resonances and their d...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2009
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2008.12.058