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131.
The paper is concerned with longitudinal and transverse waves propagating at a right angle to the layers of a nanocomposite
material with initial (process-induced residual) stresses. The composite consists of alternating layers of two dissimilar
materials. The materials are assumed nonlinearly elastic and described by the Murnaghan potential. For simulation of wave
propagation, a problem is formulated within the framework of the three-dimensional linearized theory of elasticity for finite
prestrains. It is established that the relative velocities of waves depend linearly on small prestresses. In some composite
materials, however, the thicknesses of the layers may be in a ratio such that the wave velocities are independent of the prestress
level
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 7, pp. 3–22, July 2006. 相似文献
132.
Sergiy Zhuk 《Applied Mathematics and Optimization》2013,68(2):289-309
In this paper we present Kalman duality principle for a class of linear Differential-Algebraic Equations (DAE) with arbitrary index and time-varying coefficients. We apply it to an ill-posed minimax control problem with DAE constraint and derive a corresponding dual control problem. It turns out that the dual problem is ill-posed as well and so classical optimality conditions are not applicable in the general case. We construct a minimizing sequence $\hat{u}_{\varepsilon}$ for the dual problem applying Tikhonov method. Finally we represent $\hat{u}_{\varepsilon}$ in the feedback form using Riccati equation on a subspace which corresponds to the differential part of the DAE. 相似文献
133.
Davidchack RL 《The Journal of chemical physics》2010,133(23):234701
We revise the earlier [R. L. Davidchack and B. B. Laird, Phys. Rev. Lett. 85, 4751 (2000)] direct calculation of the hard sphere solid-liquid interfacial free energy by the cleaving walls method. The revisions of the method include modified interactions with the cleaving walls and the use of a nonequilibrium work measurements approach, which allows for a more robust control of the accuracy of the obtained results. We find that the new values are lower compared to the original ones, which is consistent with the more recent indirect estimates based on extrapolation from the soft-sphere results [R. L. Davidchack and B. B. Laird, Phys. Rev. Lett. 94, 086102 (2005)], as well as those obtained using the capillary fluctuations method [R. L. Davidchack, J. R. Morris, and B. B. Laird, J. Chem. Phys. 125, 094710 (2006)]. 相似文献
134.
Suppose that (X, p) is a sermonized space, is a linearly independent system of elements in X, is a sequence of linear bounded functionals such that c
k
(x
l
) = δ
kl
,
are the Riesz sums. We prove general assertions concerning estimates from above for the values of semiadditive functionals
by deviations of the Riesz sums p(x − R
n,r
(x)). Bibliography: 6 titles.
Dedicated to Nina Nikolaevna Uraltseva
Translated from Problemy Matematicheskogo Analiza, 40, May 2009, pp. 57–68. 相似文献
135.
V. V. Zhuk 《Journal of Mathematical Sciences》2010,166(2):167-185
Let L
p
, 1 ≤ p< ∞, be the space of 2π-periodic functions f with the norm
|| f ||p = ( ò - pp | f |p )1 \mathord