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61.
An analytical model for the boundary-layer of torsion in a piezoelectric thin plate with a symmetry of order six is proposed on the basis of the method of asymptotic expansions. The local behaviour of the three-dimensional solution of the problem of linear piezoelectricity is formulated in the vicinity of the lateral contour of the plate, and the solution of the problem for the boundary-layer of torsion is then obtained. However, we denote that full proof of the theorems is not given in this paper. Only hints of the proof are given. 相似文献
62.
Camille Flament Joël Ribis Jérôme Garnier Thierry Vandenberghe Jean Henry Alexis Deschamps 《哲学杂志》2015,95(8):906-917
The age hardening 6061-T6 aluminium alloy has been chosen as structural material for the core vessel of the material testing Jules Horowitz nuclear reactor. The alloy contains incoherent Al(Cr, Fe, Mn)Si dispersoids whose characterization by energy-filtered transmission electron microscopy (EFTEM) analysis shows a core/shell organization tendency where the core is (Mn, Fe) rich, and the shell is Cr rich. The present work studies the stability of this organization under irradiation. TEM characterization on the same particles, before and after 1 MeV electron irradiation, reveals that the core/shell organization is enhanced after irradiation. It is proposed that the high level of point defects, created by irradiation, ensures a radiation-enhanced diffusion process favourable to the unmixing forces between (Fe, Mn) and Cr. Shell formation may result in the low-energy interface segregation of Cr atoms within the (Fe, Mn) system combined with the unmixing of Cr, Fe and Mn components. 相似文献
63.
This paper deals with a scalar conservation law in 1-D space
dimension, and in particular, the focus is on the stability analysis
for such an equation. The problem of feedback stabilization under
proportional-integral-derivative (PID for short) boundary control is
addressed. In the proportional-integral (PI for short) controller
case, by spectral analysis, the authors provide a complete
characterization of the set of stabilizing feedback parameters, and
determine the corresponding time delay stability interval. Moreover,
the stability of the equilibrium is discussed by Lyapunov function
techniques, and by this approach the exponential stability when a
damping term is added to the classical PI controller scheme is
proved. Also, based on Pontryagin results on stability for
quasipolynomials, it is shown that the closed-loop system subject to
PID control is always unstable. 相似文献
64.
Perfluoropolyether (PFPE)‐based thermoplastic fluoropolymers are synthesized by A2 + B2 step‐growth polymerization between PFPE‐diyne and fluorinated diazides. This versatile method allows synthesizing PFPE‐based materials with tunable physicochemical properties depending on the exact nature of the fluorinated segment of the diazide precursor. Semicrystalline or amorphous materials endowed with high thermostability (≈300 °C under air) and low glass transition temperature (≈−100 °C) are obtained, as confirmed by differential scanning calorimetry, thermogravimetry, and rheometry. Step‐growth polymerizations can be copper‐catalyzed but also thermally activated in some cases, thus avoiding the presence of copper residues in the final materials. This strategy opens up new opportunities to easily access PFPE‐based materials on an industrial scale. Furthermore, a plethora of developments can be envisioned (e.g., by adding a third trifunctional component to the formulations for the synthesis of PFPE‐based elastomers).
65.
66.
Jean Lerbet 《Mechanics Research Communications》1999,26(5):507
We propose in this paper to give some intrinsic results about, dynamics of mechanisms by using Lie group approach. This language allows to obtain two main results. The first one concerns a new definition of Lagrange's multipliers which is more conform to intuition. The second one gives the explicit linear combinations of the dynamic equations allowing their elimination. 相似文献
67.
This experimental investigation deals with transition phenomena of a separated boundary layer under unsteady inlet flow conditions.
The main purpose of this investigation is to understand the influence of the rotor-stator interaction in turbomachinery on
the subsequent, highly loaded boundary layer. The research project is divided into two phases. In the first phase, which has
been completed recently, only the variation of mean velocity caused by upstream blades was simulated in the experiments while
the free-stream turbulence intensity was retained at a constant low level. The experiments are carried out in an Eifel-type
wind tunnel to investigate the laminar separated boundary layer of a flat plate under oscillating inlet conditions. The adverse
pressure gradient, similar to that of turbomachines, is generated by the contoured upper wall. The unsteadiness is produced
by a rotating flap located downstream of the test section. The reduced frequency, the amplitude and the mean Reynolds number
are varied to simulate the conditions prevailing in turbomachines. In addition to the Kelvin–Helmholtz instability of the
separated shear layer, a lower frequency instability was observed. This is frequently referred to as `free shear layer flapping'
and results in two distinctly different ways of re-attachment, depending primarily on the Reynolds number. For low momentum
thickness Reynolds numbers at the separation point, large-scale vortices locked to the frequency of the unsteady main flow
are identified. They originate nearly at the top of the separation bubble and are ejected downstream. A fully turbulent boundary
layer develops after these vortices mix out. For higher Reynolds numbers, transition is completed within a short length of
the free shear layer and there-attachment region. The characteristic momentum thickness Reynolds number separating these two
regimes in unsteady flow is about 125. The Strouhal number (reduced frequency) does not appear to have any significant effect.
Based on the experimental results, this behaviour is discussed in some detail.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
68.
In the paper anomalous diffusion appearing in a porous medium composed of two porous components of considerably different diffusion characteristics is examined. The differences in diffusivities are supposed to result either from two medium types being present or from variations in pore size (double porosity media). The long-tail effect is predicted using the homogenization approach based on the application of multiple scale asymptotic developments. It is shown that, if the ratio of effective diffusion coefficients of two porous media is of the order of magnitude smaller or equal O(
2), where is a homogenization parameter, then the macroscopic behaviour of the composite may be affected by the presence of tail-effect. The results of the theoretical analysis were applied to a problem of diffusion in a bilaminate composite. Analytical calculations were performed to show the presence of the long-tail effect in two particular cases.Notations
c
i
the concentration of chemical species in water within the medium i
-
D
i
the effective diffusion coefficient for the medium i
-
D
ij
eff
the macroscopic (or effective) diffusion tensor in the composite
-
ERV
the elementary representative volume
-
h
the thickness of the period
-
l
a chracteristic length of the ERV or the periodic cell
-
L
a characteristic macroscopic length
-
n
the volumetric fraction of the material 2
- 1–n
the volumetric fraction of the material 1
-
N
the unit vector normal to
-
t
the time variable
-
x
the macroscopic (or slow) space variable
-
y
the microscopic (or fast) space variable
-
c
1c
,C
2c
,D
1c
,D
2c
the characteristic quantities
-
T,T
1L
,T
2L
,T
1l
,T
2l
the characteristic times
-
c
1
*
,c
2
*
,D
1
*
,D
2
*
,t
*
the non-dimensional variables
-
the homogenization parameter
- 1
the domain occupied by the material 1
- 2
the domain occupied by the material 2
-
the interface between the domains 1 and 2
-
the total volume of the periodic cell
-
/xi
the gradient operator
-
the gradient operator 相似文献
69.
Jean Salençon 《Comptes Rendus Mecanique》2002,330(8):521-525
The bearing capacity of axially symmetrical footings acting on a purely cohesive soil foundation contained by a rigid wall at a finite distance is investigated within the framework of the Yield design theory. Following the same tracks as in a preceding paper devoted to strip footings, the analysis is performed by referring to already existing results concerning the bearing capacity of a circular footing on a soil layer with limited thickness. It comes out that the bearing capacity factor determined by Eason and Shield for a rough circular footing on an unlimited soil foundation is increased by a correction factor that increases when the diameter of the container decreases. Comparison with the results obtained for strip footings acting on a purely cohesive soil in the same conditions shows that the confining effect is significantly lower for a circular footing than for a strip footing. To cite this article: J. Salençon, C. R. Mecanique 330 (2002) 521–525. 相似文献
70.
Jean Marie Nianga 《Mechanics Research Communications》2006,33(5):747-752
This paper provides an analysis of the crack propagation criterion for a thin piezoelectric plate with a symmetry of order six. On the basis of Gol’denveizer’s asymptotic integration method or Destuynder’s unidirectional zoom technique, we obtain an extension of the purely mechanical J-integral to piezoelectric materials, with a dependence of the gradient of energy of the plate only on zeroth order terms of asymptotic expansions. 相似文献