共查询到20条相似文献,搜索用时 31 毫秒
1.
K. Aniskevich O. Starkova J. Jansons A. Aniskevich 《Mechanics of Composite Materials》2010,46(4):375-386
A model composite — a silica-filled styrene-butadiene rubber with a various filler volume content — was tested for creep and
creep recovery at different tensile load levels to evaluate the effect of viscoelasticity on the deformational properties
of filled rubbers. A constitutive equation describing the diagram of equilibrium deformation of the composite in quasi-static
loading was obtained from an analysis of creep test results. The equation was common for the filled rubber at different filler
content. The existence of such a curve has been confirmed by experimental unloading diagrams registered in cyclic loading-unloading
tests. It is shown that the phenomenological equations obtained from an analysis of creep recovery test results can be used
successfully for describing the hysteresis loops of second and subsequent cycles for cyclic tests with a constant maximum
stretch ratio. 相似文献
2.
O. G. Gurtovyi 《Mechanics of Composite Materials》2000,36(3):193-198
A phenomenological yield condition for quasi-brittle and plastic orthotropic materials with initial stresses is suggested.
All components of the yield tensor are determined from experiments on uniaxial loading. The reliability estimates of the criterion
suggested is discussed. For a plastic material without initial stresses, the given condition transforms into the Marin—Hu
criterion. The defining equations of the deformation theory of plasticity with isotropic and “anisotropic” hardening, associated
with the yield condition suggested, are obtained. These equations are used as the basis for a highly accurate nonclassical
continuous model for nonlinear deformation of thick sandwich plates. The approximations with respect to the transverse coordinate
take into account the flexural and nonflexural deformations in transverse shear and compression. The high-order approximations
allow us to model the occurrence of layer delamination cracks by introducing thin nonrigid interlayers without violating the
continuity concept of the theory.
Submitted to the 11th International Conference on Mechanics of Composite Materials (Riga, June 11–15, 2000).
Translated from Mekhanika Kompozitnykh Materialov, Vol. 36, No. pp. 329–340, May–June, 2000. 相似文献
3.
A. P. Krishchenko S. B. Tkachev D. A. Fetisov 《Computational Mathematics and Modeling》2007,18(2):176-191
A planar walking model is considered for a five-link biped robot. The normal form of the system describing the robot’s behavior
in the single-support phase is constructed. The periodic motion problem is reduced to analyzing the system of zero dynamics
equations. Simulation results are reported.
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Translated from Nelineinaya Dinamika i Upravlenie, No. 3, pp. 201–216, 2003. 相似文献
4.
A. M. Pogrebitskaya 《Journal of Mathematical Sciences》2009,160(3):379-385
We have proposed an algorithm for the solution of inhomogeneous singular second-order differential equations with variable
coefficients, based on a model of the hybrid WKB–Galerkin method. The efficiency of this approach is illustrated in the solution
of an applied problem describing heat removal through a radiator of variable geometry.
Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 51, No. 1, pp. 82–87, January–March, 2008. 相似文献
5.
W. Hufenbach R. Böhm A. Langkamp L. Kroll T. Ritschel 《Mechanics of Composite Materials》2006,42(2):151-162
The basic damage and failure models of multiaxially reinforced composites with a thermoplastic matrix are presented and verified.
Within the framework of continuum damage mechanics, a phenomenological model is introduced, where the damage is defined as
a change in the elasticity tensor. For damage identification, a specific ultrasonic device was developed. A combination of
an immersion set-up and a contact coupling device formed a system for an efficient determination of stiffness-tensor components
from convenient sets of velocity measurements. Linked to a tensile machine, it allowed us to measure the anisotropic damage
of the new materials group caused by tensile loading.
Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 42, No. 2, pp. 221–234, March–April, 2006. 相似文献
6.
Two polyester-based polymer concretes with various volume content of diabase as an extender and aggregate are tested in creep
under compression at different stress levels. The phenomenological and structural approaches are both used to analyze the
experimental data. Common features of changes in the instantaneous and creep compliances are clarified, and a phenomenological
creep model which accounts for the changes in the instantaneous compliance and in the retardation spectrum depending on the
stress level is developed. It is shown that the model can be used to describe the experimental results of stress relaxation
and creep under repeated loading. Modeling of the composite structure and subsequent solution of the optimization problem
confirm the possibility of the existence of an interphase layer more compliant than the binder. A direct correlation between
the interphase volume content and the instantaneous compliance of the composite is revealed. It is found that the distinction
in nonlinearity of the viscoelastic behavior of the two polymer concretes under investigation can be due to the difference
in their porosity.
Submitted to the 11th International Conference on Mechanics of Composite Materials (Riga, June 11–15, 2000.)
Translated from Mekhanika Kompozitnykh Materialov, Vol. 36, No. 2, pp. 147–164, 2000. 相似文献
7.
Maurizio Badii 《Annali dell'Universita di Ferrara》2008,54(1):1-10
This paper deals with the existence of weak periodic solutions for a model describing the electrical heating of a conductor
taking into account the Joule–Thomson effect. The periodicity of solutions is established utilizing the classical Lax–Milgram
theorem and the Schauder fixed point theorem.
相似文献
8.
In this paper we extend the coupled contraction mapping theorem proved in partially ordered metric spaces by Gnana Bhaskar
and Lakshmikantham (Nonlinear Anal. TMA 65:1379–1393, 2006) to a coupled coincidence point result for a pair of compatible mappings. A control function has been used in our theorem.
The mappings are assumed to satisfy a weak contractive inequality. Our theorem improves the results of Harjani et al. (Nonlinear
Anal. TMA 74:1749–1760, 2011). The result we have established is illustrated with an example which also shows that the improvement is actual. 相似文献
9.
We prove a fixed point theorem for contractive mappings of Boyd and Wong type in generalized metric spaces, a concept recently
introduced in [BRANCIARI, A.: A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen 57 (2000), 31–37].
相似文献
10.
The aim of this work is to present a reduced mathematical model for describing fluid flow in porous media featuring open channels
or fractures. The Darcy’s law is assumed in the porous domain while the Stokes–Brinkman equations are considered in the fractures.
We address the case of fractures whose thickness is very small compared to the characteristic diameter of the computational
domain, and describe the fracture as if it were an interface between porous regions. We derive the corresponding interface
model governing the fluid flow in the fracture and in the porous media, and establish the well-posedness of the coupled problem.
Further, we introduce a finite element scheme for the approximation of the coupled problem, and discuss solution strategies.
We conclude by showing the numerical results related to several test cases and compare the accuracy of the reduced model compared
with the non-reduced one. 相似文献
11.
V. M. Paskonov 《Computational Mathematics and Modeling》1997,8(4):400-407
The classical Navier-Stokes model is modified so as to increase its accuracy. A system of third-order differential equations
is proposed describing viscous flow of liquids and gases.
Translated from Obratnye Zadachi Estestvoznaniya, Published by Moscow University, Moscow, 1997, pp. 189–198. 相似文献
12.
In the present work, two fixed point theorems for self maps on ordered cone metric spaces are proved motivated by [7, L. G.
Huang and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332 (2007)
1468–1476] and [15, A. C. M. Ran and M. C. B. Reuring, A fixed point theorem in partially ordered sets and some application
to matrix equations, Proc. Amer. Math. Soc., 132, (2004), 1435–1443]
相似文献
13.
R. Zh. Aleev 《Algebra and Logic》2000,39(5):293-300
Centers of integral group rings are studied. The notion of a class character ring is introduced and made use of in describing
centers of integral group rings. With every automorphism of a character field, associated is an automorphism of the center
of an integral group ring. The norm of a central element of an integral group ring is determined and used to obtain invertibility
criteria for central elements.
Supported by RFFR grant No. 99-01-00550.
Translated fromAlgebra i Logika, Vol. 39, No. 5, pp. 513–525, September–October, 2000. 相似文献
14.
An exactly solvable Heisenberg model describing the spectral balance conditions for the energy of a turbulent liquid is investigated
in the renormalization group (RG) framework. The model has RG symmetry with the exact RG functions (the β-function and the
anomalous dimension γ) found in two different renormalization schemes. The solution to the RG equations coincides with the
known exact solution of the Heisenberg model and is compared with the results from the ε expansion, which is the only tool
for describing more complex models of developed turbulence (the formal small parameter ε of the RG expansion is introduced
by replacing a δ-function-like pumping function in the random force correlator by a powerlike function). The results, which
are valid for asymptotically small ε, can be extrapolated to the actual value ε=2, and the few first terms of the ε expansion
already yield a reasonable numerical estimate for the Kolmogorov constant in the turbulence energy spectrum.
Translated from Teoreticheskaya i Matematicheskaya Fizika. Vol. 115, No. 2, pp. 245–262 May. 1998. 相似文献
15.
M. Fabrizio G. Matarazzo M. Pecoraro 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2011,24(2):1013-1026
In this paper, by an extension of the Ginzburg–Landau theory, we propose a mathematical model describing hard magnets within
which we are able to explore the para–ferromagnetic transition and by using the Landau–Lifshitz–Gilbert equation, to study
the 3D evolution of magnetic field. Finally, the hysteresis loops are obtained and represented by numerical implementations. 相似文献
16.
The crystallization process is represented here by a generalized Boolean model, whose parameters are usually unknown. A better
understanding of the model may be obtained if we estimate the corresponding parameters. In this paper, we provide non-parametric
estimators for the parameters of the model. Among them, the degree of crystallinity at time t is the probability that an arbitrary point in the space has been captured by a crystal before time t. We estimate it following the Kaplan–Meier approach extended to the context of a Johnson–Mehl incomplete tessellation. Three
estimators are defined, according to the kind of data we dispose. The results are also illustrated by simulations. We also
provide estimators for the parameters describing geometrical aspects of the phenomenon.
相似文献
17.
Yu. A. Tserkovnikov 《Theoretical and Mathematical Physics》2006,147(3):868-875
We use an example of a chain of equations describing a system of Bose particles with pairwise interaction to develop a method
for decoupling the chain at its second element. We obtain an approximation of the interacting-modes type, which results in
a system of nonlinear equations for one-, two-, and three-particle functions.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 147, No. 3, pp. 503–510, June, 2006. 相似文献
18.
N. M. Bogoliubov 《Journal of Mathematical Sciences》2009,158(6):771-786
An exactly solvable boson model, the so-called “phase model,” is considered. A relation between certain transition matrix
elements of this model and boxed plane partitions, three-dimensional Young diagrams placed into a box of finite size, is established,
It is shown that the natural model describing the behavior of friendly walkers, ones that can share the same lattice sites,
is the “phase model.” An expression for the number of all admissible nests of lattice paths made by a fixed number of friendly
walkers for a certain number of steps is obtained. Bibliography 35 titles.
Published in Zapiski Nauchnykh Seminarov POMI, Vol. 360, 2008, pp. 5–30. 相似文献
19.
Daniel Reem Simeon Reich Alexander J. Zaslavski 《Journal of Fixed Point Theory and Applications》2007,1(1):149-157
We establish two fixed point theorems for certain mappings of contractive type. The first result is concerned with the case
where such mappings take a nonempty, closed subset of a complete metric space X into X, and the second with an application of the continuation method to the case where they satisfy the Leray–Schauder boundary
condition in Banach spaces. 相似文献
20.
J.-Y. Lin S. Schaible R.-L. Sheu 《Journal of Optimization Theory and Applications》2010,146(3):581-601
In this paper, we introduce a class of minimization problems whose objective function is the composite of an isotonic function
and finitely many ratios. Examples of an isotonic function include the max-operator, summation, and many others, so it implies
a much wider class than the classical fractional programming containing the minimax fractional program as well as the sum-of-ratios
problem. Our intention is to develop a generic “Dinkelbach-like” algorithm suitable for all fractional programs of this type.
Such an attempt has never been successful before, including an early effort for the sum-of-ratios problem. The difficulty
is now overcome by extending the cutting plane method of Barros and Frenk (in J. Optim. Theory Appl. 87:103–120, 1995). Based on different isotonic operators, various cuts can be created respectively to either render a Dinkelbach-like approach
for the sum-of-ratios problem or recover the classical Dinkelbach-type algorithm for the min-max fractional programming. 相似文献