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  • Springer  (22)
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  • 1
    ISSN: 1572-8854
    Keywords: Dipole parallel-alignment ; anisotropy ; arene–arene contacts ; intermolecular interactions ; nonlinear optics ; azines
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract The title compound crystallizes in the space group Pna2(1) with cell parameters a = 6.4606(3), b = 7.2155(3) and c = 33.5878(16) Å. The azine shows a gauche conformation about the N—N bond and there is an angle of 58.1° between the benzene rings of each azine. This conformation allows for two intermolecular arene–arene T-contacts between pairs of benzene rings. The characteristic structural motif features T-contact formation between like–substituted arene rings and this architecture results in a highly dipole-parallel aligned lattice. All azines are perfectly colinear within each layer and the orientations of the azines in different layers are nearly the same. The surfaces of the layers exhibit a quadrilateral kite-shaped arrangement of I-atoms and of OCH3-substituents. The layers pack such that the OCH3—carbon atoms are placed above the interstices between the I-atoms in the adjacent layer.
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  • 2
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    Marine geophysical researches 21 (2000), S. 289-306 
    ISSN: 1573-0581
    Keywords: Magnetic susceptibility ; anisotropy ; petrofabric ; Oman Ophiolite ; gabbros
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract The anisotropy of magnetic susceptibility was measured on 42 gabbros sampled across a complete plutonic sequence from the Oman ophiolite. The rock fabrics, investigated in the field and through plagioclase crystallographic fabric measurements, were compared to the magnetic fabrics. This comparative study reveals that from the paleo-Moho to the top of the foliated gabbros level, 73% of the rocks display a good correspondence in orientation, between the magnetic and rock fabric orientation. In these rocks, the AMS is controlled by secondary magnetites located in the fracture network of the olivines, and probably, but to a lesser extent, by secondary magnetites located in the exsolution lamellae of the clinopyroxenes. The high correlation between the AMS ellipsoid orientation and the rock fabric orientation is explained by the fact that the magnetic foliation is essentially constrained by the orientation of the olivine fracture planes, which is in turn constrained by the orientation of the overall magmatic rock fabric. In contrast to the primary mineral phases, the orientation of magnetite crystals in these gabbros is not due to their alignment in a flowing magma, so their preferred orientation, although usually mimicking that of the rock fabric, does have not the same origin. Furthermore, given that the preferred orientation of the anisometric secondary magnetites is much less perfect than the preferred orientation of the plagioclases, no correlation between the shape and magnitude of the AMS and plagioclase fabrics can be established. In the uppermost levels of the sequence there is no correspondence between the magnetic and rock fabric orientation. The magnetism of these rocks is mainly carried by primary magnetite and ilmenite grains. These minerals occur as small and scattered interstitial grains that exhibit neither alignment nor parallelism with the pre-existing rock fabric. Hence, the anisotropy, shape and orientation of the AMS ellipsoid are independent of the rock fabric ellipsoid. Although in the Wadi Al Abyad gabbros, just like in other magnetite bearing rocks (Rochette et al., 1992; Archanjo et al., 1995), the AMS cannot be used to evaluate the shape and strength of the finite strain ellipsoid, it can be reliably used to get the orientation of the rock fabric ellipsoid when the AMS is controlled by secondary magnetites.
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  • 3
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    Acta mechanica Sinica 16 (2000), S. 75-82 
    ISSN: 1614-3116
    Keywords: dentin ; dentin tubule ; anisotropy ; stress-strain relations ; experiments ; digital speckle correlation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract To verify the theoretical models of varying transversely isotropic stress-strain relations of dentin established in the preceding work (Part I), we perform a set of experiments. Because of the very fine tooth size, it usually seems to be difficult to directly measure the inhomogeneous and anisotropic parameters of dentin. In this paper, by the digital speckle correlation method, tensile experiments are made on the small dentin samples either parallel or perpendicular to the dentin tubules. With the theoretically predicted elastic stress-strain relations, an optimization method is proposed to fit the strain curve adapted to the experimental data. The results show that the theoretical elastic stress-strain relations coincides very well with the experimental observations. The determined Young's modulus and Poisson's ratio of dentin matrix are 29.5 GPa and 0.44, respectively, in the optimization sense.
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  • 4
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    Applied mathematics and mechanics 21 (2000), S. 33-42 
    ISSN: 1573-2754
    Keywords: Banach space ; first order impulsive differential ; measure of noncompactness ; minimax quasi-solution ; O175
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract In this paper, by using of monotone iterative technique, the existence and iterative approximation of the minimax quasi-solutions of the initial value problems for more general first order impulsive differential equations in Banach spaces are investigated.
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  • 5
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    Applied mathematics and mechanics 21 (2000), S. 1024-1033 
    ISSN: 1573-2754
    Keywords: time-dependent parametric system ; bifurcation transition ; imperfect bifurcation ; Duffing's equation ; O175 ; O315.3 ; O322
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract A new method was proposed for essentially studying the imperfect bifurcation problem of nonlinear systems with a slowly varying parameter. By establishing some theorems on the solution approximated by that of the linearized system, the delayed bifurcation transition and jump phenomena of the time-dependent equation were analyzed. V-function was used to predict the bifurcation transition value. Applying the new method to analyze the Duffing's equation, some new results about bifurcation as well as that about the sensitivity of the solutions with respect to initial values and parameters are obtained.
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  • 6
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    Journal of superconductivity 13 (2000), S. 995-998 
    ISSN: 1572-9605
    Keywords: disordered ; pseudogap ; superconductors ; cuprates ; anisotropy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Physics
    Notes: Abstract We consider underdoped cuprates as disordered conductors. The diffusion coefficient D can be as low as 10−5 m2 s−1. In these conditions, Coulomb interaction between electrons must be taken into account. The main effect is to open a dip and even a gap in the density of state (DOS) near the Fermi level (FL). We show that this model explains most of the observed features of the so-called pseudogap in the normal state and in particular its value, anisotropy, and variation with doping.
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  • 7
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    International journal of infrared and millimeter waves 21 (2000), S. 2023-2033 
    ISSN: 1572-9559
    Keywords: anisotropy ; Back-to-Back ; CMB ; corrugated ; gaussian ; profile
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Novel corrugated horn have been modelled, manufactured and measured which give low-sidelobe patterns required by CMB Anisotropy experiments. These horns have a Back-to-Back structure with mode filtering at their centres. They are corrugated to give axial symmetric low-sidelobe patterns, profiled to reduce their length, and have a Gaussian flare at their entrance apertures to further suppress sidelobes to -40dB. Modelling and experimental results show excellent agreement to well below 50 dB.
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  • 8
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    International journal of thermophysics 21 (2000), S. 1473-1483 
    ISSN: 1572-9567
    Keywords: anisotropy ; Bethe lattice ; semiflexible polymer ; statistical mechanics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A combinatorial method to calculate the mean square end-to-end distance 〈R 2〉 of a polymer on a Bethe lattice is used. The case of an anisotropic lattice and semiflexible polymers is considered. The distance on the Cayley tree is defined by embedding the tree on an N-dimensional Euclidean space considering that every bend of the polymer defines a direction orthogonal to all the previous ones. The semiflexible polymer is effectively equivalent to a flexible one if one considers an effective (noninteger) coordination number. Although an analytical calculation is performed, a closed expression for 〈R 2〉 is possible only for the isotropic case. Numerical results are shown for the anisotropic case. Plots of 〈R 2〉 against N for different values of the anisotropy parameter y are shown. The power dependence for N does not depend on the anisotropy as expected, but the linear coefficient increases on increasing the anisotropy. The anisotropy tends to stretch the polymer.
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  • 9
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    General relativity and gravitation 32 (2000), S. 1255-1269 
    ISSN: 1572-9532
    Keywords: Gravitation ; cosmology ; anisotropy ; above-barrier reflection
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The classical and quantum evolution of an anisotropic cosmological Bianchi type I model is considered. In the classical case, the influence of the minimally coupled scalar field is taken into account. Thus the system of two equations is obtained, which are explored at the inflationary and scalaron stages. The quantum problem in view of the positive cosmological constant is considered. The principal moment of the account of an anisotropy is the occurrence of the potential barrier unbounded in zero and at infinity. Though the greatest value of the potential is less than zero and the total energy of the Universe E=0, there is an important opportunity for above-barrier reflection of the wave function of the Universe. After reflection the wave function describes the expanding Universe promptly losing anisotropy and transferring into the Friedmann Universe.
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  • 10
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    Applied mathematics and mechanics 21 (2000), S. 597-602 
    ISSN: 1573-2754
    Keywords: polynomial system ; analogue vector field ; limit cycle ; Poincaré bifurcation ; O175
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract A class of polynomial system was structured, which depends on a parameter δ. When δ monotonous changes, more than one neighbouring limit cycles located in the vector fiel of this polynomial system can expand (or reduce) together with the δ. But the expansion (or reduction) of these limit cycles is not surely monotonous. This vector field is like the rotated vector field. So these limit cycles of the polynomial system are called to constitute an “analogue rotated vector field” with δ. They may become an effective tool to study the bifurcation of multiple limit cycle or fine separatrix cycle.
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  • 11
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    Applied mathematics and mechanics 21 (2000), S. 645-650 
    ISSN: 1573-2754
    Keywords: variable coefficient ; generalized Kadomtsev-Petviashvili equation ; direct reduction method ; similarity reduction ; O175
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract With the aid of MATHEMATICA, the direct reduction method was extended and applied in 2+1-dimensional variable coefficient generalized Kadomtsev-Petviashvili equation (VCGKPE). As a result, several kinds of similarity reductions for VCGKPE are obtained which contain Painleve 1, Painleve II and Painleve IV reductions.
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  • 12
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    Applied mathematics and mechanics 21 (2000), S. 1119-1122 
    ISSN: 1573-2754
    Keywords: Burgers-KdV equation ; traveling wave solution ; Riccati equation ; O175
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract Two types of exact traveling wave solutions to Burgers-KdV equation by basis on work of XIONG Shu-lin are presented. Furthermore, some new results are replenished in work of FAN En-gui et al.
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  • 13
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    Applied mathematics and mechanics 21 (2000), S. 1282-1291 
    ISSN: 1573-2754
    Keywords: first-order differential equation ; periodic solution ; resonance ; Brouwer degree ; coincidence degree ; Duffing equation ; O175
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The nonlinear system of first-order differential equations with a deviating argument $$\dot x(t) = Bx(t) + F(x(t - \tau )) + p(t)$$ is considered, where x(t)εR 2, τεR, BεR 2×2, F is bounded and p(t) is continuous and 2π-periodic. Some sufficient conditions for the existence of 2π-periodic solutions of the above equation, in a resonance case, by using the Brouwer degree theory and a continuation theorem based on Mawhin's coincidence degree are obtained. Some applications of the main results to Duffing's equations are also given.
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  • 14
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    Applied mathematics and mechanics 21 (2000), S. 1338-1340 
    ISSN: 1573-2754
    Keywords: nonlinear Schrödinger equation ; eigenvalue ; eigenfunction ; blow-up ; O175
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The conditions of blow-up of the solutions for one class of nonlinear Schrödinger equations by using the eigenvalue and eigenfunction of the Laplace operator are got, which complements and perfects the results of ZHANG jian.
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  • 15
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    Applied mathematics and mechanics 21 (2000), S. 193-198 
    ISSN: 1573-2754
    Keywords: multi-solitary wave solutions ; balance method ; Boussinesq equation ; Kupershmidt equation ; O175
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract Using the homogeneous balance method introduced by Wang Mingliang, the multi— solitary wave solutions are obtained for the variant Boussinesq equation and Kupershmidt equation. The Wang's result is a special case of above results for the variant Boussinesq equation.
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  • 16
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    Applied mathematics and mechanics 21 (2000), S. 291-296 
    ISSN: 1573-2754
    Keywords: mixed type ; impulsive differential equation ; periodic solution ; O175
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The existence of periodic solutions for a class of impulsive differential equations of mixed type is studied by constructing periodic sequence solutions of difference equations.
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  • 17
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    Applied mathematics and mechanics 21 (2000), S. 321-326 
    ISSN: 1573-2754
    Keywords: dynamic stability ; cellular neural network systems ; long-time behavior of transient solutions ; O175
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract By establishing concept on transient solutions of general nonlinear systems converging to its equilibrium set, long-time behavior of solutions for cellular neural network systems is studied. A stability condition in generalized sense is obtained. This result reported has an important guide to concrete neural network designs.
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  • 18
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    Applied mathematics and mechanics 21 (2000), S. 363-370 
    ISSN: 1573-2754
    Keywords: generalized upper and lower solutions ; coincidence degree ; monotone iteration ; integro-differential equation of mixed type ; O175 ; O177
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The existence of at least one solution and the existence of extreme solutions of periodic boundary value problems for first-order integro-differential equations of mixed type are studied, in the presence of generalized upper and lower solutions. The discussion is based on new comparison theorems and coincidence degree and monotone iterative methods.
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  • 19
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    Applied mathematics and mechanics 21 (2000), S. 383-388 
    ISSN: 1573-2754
    Keywords: system of nonlinear evolution equations ; sine-cosine method ; Wu-elimination method ; solitary wave solution ; O175
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract According to the improved sine-cosine method and Wu-elimination method, a new algorithm to construct solitary wave solutions for systems of nonlinear evolution equations is put forward. The algorithm has some conclusions which are better than what the hyperbolic function method known does and simpler in use. With the aid of MATHEMATICA, the algorithm can be carried out in computer.
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  • 20
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    Applied mathematics and mechanics 21 (2000), S. 43-48 
    ISSN: 1573-2754
    Keywords: algebraic stress model ; buoyant turbulence model ; anisotropy ; X522 ; X524
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract By analyzing the components of Reynolds stresses of implicit algebraic stress model (IASM) in this paper, that Reynolds stresses in buoyant turbulent flows were produced by both strain and buoyancy is considered. Consequently, a nonlinear anisotropy buoyant turbulence model was developed by applying linearity of equilibrium hypothesis to Reynolds stress transports. The model avoids numerical singularity and its reliability is verified by the comparisons between predictions and experimental data.
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  • 21
    ISSN: 1573-2681
    Keywords: anisotropy ; cubic symmetry ; discrete orientation distribution ; invariant subspace ; isotropy ; linear elasticity ; polycrystals ; Reuss average ; special orthogonal group ; Voigt average
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract We consider a model for the elastic behavior of a polycrystalline material based on volume averages. In this case the effective elastic properties depend only on the distribution of the grain orientations. The aggregate is assumed to consist of a finite number of grains each of which behaves elastically like a cubic single crystal. The material parameters are fixed over the grains. An important problem is to find discrete orientation distributions (DODs) which are isotropic, i.e., whose Voigt and Reuss averages of the grain stiffness tensors are isotropic. We succeed in finding isotropic DODs for any even number of grains N≥4 and uniform volume fractions of the grains. Also, N=4 is shown to be the minimum number of grains for an isotropic DOD.
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  • 22
    ISSN: 1573-2746
    Keywords: alpha alumina ; grain growth ; anisotropy ; template ; seeding ; modelling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Single crystals of α-alumina with {0001}, {11 $$\overline 2 $$ and {01 $$\overline 1 $$ 2} orientations were embedded in a matrix of liquid phase sintered alumina to study α-alumina single crystal growth in the presence of a calcium aluminosilicate liquid. Growth on the {11 $$\overline 2 $$ 0} and {01 $$\overline 1 $$ 2} surfaces was observed to occur by a diffusion-controlled mechanism while growth on the basal surface was controlled by two-dimensional nucleation. Growth models, which incorporate the change in matrix grain size, were derived and shown to fit the growth kinetics.
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