70 resultados para power law model


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本论文中重点研究了30MeV/u 40Ar+58Ni,64Ni和115In反应中中等质量碎片(IMF)的发射机制。实验中,测量了实验室系5°~140°角度范围内出射碎片的能谱和角分布。对前角区出射的IMF(3≤Z≤13)实现了同位素鉴别,对中后角区出射的碎片在低探测阈(<2MeV/u )的前提下实现了直到Z~30的元素鉴别。 用运动源模型对不同角度下出射的碎片能谱进行了分析和讨论,并结合角分布特征定性地研究了碎片的三个发射源。通过对各源的贡献随角度以及出射碎片电荷数Z的演化,观察到:类弹源主要发射的是那些前角区出射的、接近束流速度的高能碎片;中等速度源的发射是中角度区出射碎片和前角区低能碎片的主要来源;后角区出射的碎片则主要来自于类熔合源的发射。并观察到相对于类熔合源非平衡源更容易发射较轻的碎片。 通过对前角区出射IMF(3≤Z≤13)的能谱和同位素分布的分析,确定了那些基本保持束流速度的碎片主要来自于弹核碎裂过程。用各种模型对实验同位素分布进行了拟合,发现Sümmerer等人给出的经验公式和abrasion-ablation模型均能比较满意地拟合实验同位素分布的宽度和峰位。同时也观察到abrasion-ablation模型计算对奇Z元素的同位素分布能给出较好的拟合,但对偶Z元素的同位素分布,计算结果与实验值相比出现向丰中子方向的系统性偏移(~lamu)。另外,还着重研究了这些产物的靶核相关性问题。通过系统性分析以及同位旋相关的量子分子动力学(IQMD)模型计算,得出了弹核碎裂产物的靶核相关性是源于靶核表面中子与质子分布的不同和平均场及核子核子相互作用的同位旋效应相关。并且,通过计算还指出了靶核中子皮的厚度对于用弹核碎裂方法产生丰中子同位素的重要性。 通过用统计模型拟合后角区出射碎片的电荷分布,指出了这些碎片主要来自于非完全熔合过程中形成的复合系统的统计发射。 实验中观察到30MeV/u 40Ar轰击Ni和In靶在中角区出射的碎片的电荷分布有不同的特征。相对来说,前者更服从power-law,后者则倾向于服从指数规律。结合核态方程和QMD模型计算分析得出,在30MeV/u 的40Ar引起的反应中,对于弾靶质量接近对称的碰撞对所形成的系统,在一定的碰撞条件下可能已进入spinodal区,而非对称碰撞对的碰撞中压缩能还难以使得系统在膨胀时进入力学不稳定区。从而对观察到的实验现象进行了说明,并认为30MeV/u 40Ar轰击与其质量接近的靶核的反应中出射的碎片中已有相当数量的动力学发射成分的贡献。 利用实验中在前角区出射的接近束流速度的碎片的同位素产额提取了类弹源的温度参数。观察到直接由实验同位素产额比得到的表观核温度与所选择的同位素组合有较强烈的依赖关系,而与靶核和实验室探测角基本无关。利用M.B.Tsang等人给出的修正方法,提取了经边馈效应修正后的发射源温度。得到该温度值与反应靶、探测角以及用于提出温度的同位素组合没有明显的依赖关系,均为~4MeV。并用abrasion-ablation模型计算进行了讨论,得到在假定能级密度参数的倒数k=10MeV时,该温度值与abrasion-ablation模型计算是一致的。

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Biodegradable poly(e-caprolactone) (PCL) foams with a series of controlled structures were prepared by using chemical foaming method. The cell morphology was detected by scanning electron microscope (SEM). The compressive behavior of the foams was investigated by uniaxial compression test. The effect of density and structural parameters on the foam compressive behavior was analyzed. It was found that the relative compressive modulus has a power law relationship with relative density. Increasing of both the cell wall thickness and the cell density lead to higher compressive modulus of the foam; however, the cell size has no distinct effect on compressive behavior.

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We report the measurements of conductivity, I-V curve, and magnetoresistance of a single Au/polyaniline microfiber with a core-shell structure, on which a pair of platinum microleads was attached by focused ion beam. The Au/polyaniline microfiber shows a much higher conductivity (similar to 110 S/cm at 300 K) and a much weaker temperature dependence of resistance [R(4 K)/R(300 K)=5.1] as compared with those of a single polyaniline microtube [sigma(RT)=30-40 S/cm and R(4 K)/R(300 K)=16.2]. The power-law dependence of R(T)proportional to T-beta, with beta=0.38, indicates that the measured Au/polyaniline microfiber is lying in the critical regime of the metal-insulator transition. In addition, the microfiber shows a H-2 dependent positive magnetoresistance at 2, 4, and 6 K.

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The use of interlaminar fracture tests to measure the delamination resistance of unidirectional composite laminates is now widespread. However, because of the frequent occurrence of fiber bridging and multiple cracking during the tests, it leads to artificially high values of delamination resistance, which will not represent the behavior of the laminates. Initiation fracture from the crack starter, on the other hand, does not involve bridging, and should be more representative of the delamination resistance of the composite laminates. Since there is some uncertainty involved in determining the initiation value of delamination resistance in mode I tests in the literature, a power law of the form G(IC) = A.DELTA alpha(b) (where G(IC) is mode I interlaminar fracture toughness and DELTA alpha is delamination growth) is presented in this paper to determine initiation value of mode I interlaminar fracture toughness. It is found that initiation values of the mode I interlaminar fracture toughness, G(IC)(ini), can be defined as the G(IC) value at which 1 mm of delamination from the crack starter has occurred. Examples of initiation values determined by this method are given for both carbon fiber reinforced thermoplastic and thermosetting polymers.

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The effective dielectric responses of linear composites with graded cylindrical particles are investigated under an external uniform electric field. As an example, with the Kummer function, we have obtained the analytical solutions of electric potentials of graded composites with a cylindrical inclusion particle of dielectric function profile epsilon(i) = cr(k)e(betar), where r is the inside distance of a point in cylindrical particle from the original point of cylindrical coordinates. In the dilute limit, the effective dielectric response is derived by means of the mean field method. For larger volume fraction, we have estimated the dielectric response of the graded composites with an effective medium approximation. Furthermore, from our results, we have discussed the effective responses of graded composites for power-law and exponential dielectric function profiles, respectively. (C) 2004 Elsevier B.V. All rights reserved.

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The perturbation method is developed to deal with the effective nonlinear dielectric responses of weakly nonlinear graded composites, which consist of the graded inclusion with a linear dielectric function of spatial variables of inclusion material. For Kerr-like nonlinear graded composites, as an example in two dimensions, we have used the perturbation method to solve the boundary value problems of potentials, and studied the effective responses of nonlinear graded composites, where a cylindrical inclusion with linear dielectric function and nonlinear dielectric constant is randomly embedded in a homogeneous host with linear and nonlinear dielectric constants. For the exponential function and the power-law dielectric profiles of cylindrical inclusions, in the dilute limit, we have derived the formulae of effective nonlinear responses of both graded nonlinear composites.

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Effective dielectric responses of graded cylindrical composites are investigated when an external uniform field is applied to the composites. Considering linear random composites of cylindrical particles with a specific dielectric function, which varies along the radial direction of the particles, we have studied three cases of dielectric profiles: exponential function, linear and power-law profiles. For each case, the effective dielectric response of graded composites is given on the basis of exact solutions of the local potentials of composites in the dilute limit. For a larger volume fraction, we have proposed an effective medium approximation to estimate the effective dielectric response.

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A graded piezoelectric composite consisting of a spherically anisotropic graded piezoelectric inclusion imbedded in an infinite nonpiezoelectric matrix, with the physical properties of the graded spherical inclusion having a power-law profile with respect to the radial variable r, is studied theoretically. Under an external uniform electric field, the electric displacement field and the elastic stress tensor field of this spherically anisotropic graded piezoelectric composite are derived exactly by means of displacement separation technique, based on the governing equations in the dilute limit. A piezoelectric response mechanism, in which the effective piezoelectric response vanishes along the z direction (or x,y directions), is revealed in this kind of graded piezoelectric composites. Furthermore, it is found that the effective dielectric constant decreases (or increases) with the volume fraction p of the inclusions if the exponent parameter k of the grading profile is larger (or smaller) than a critical value. (C) 2007 American Institute of Physics.

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The transformation field method (TFM) originated from Eshelby's transformation field theory is developed to estimate the effective permittivity of an anisotropic graded granular composite having inclusions of arbitrary shape and arbitrary anisotropic grading profile. The complicated boundary-value problem of the anisotropic graded composite is solved by introducing an appropriate transformation field within the whole composite region. As an example, the effective dielectric response for an anisotropic graded composite with inclusions having arbitrary geometrical shape and arbitrary grading profile is formulated. The validity of TFM is tested by comparing our results with the exact solution of an isotropic graded composite having inclusions with a power-law dielectric grading profile and good agreement is achieved in the dilute limit. Furthermore, it is found that the inclusion shape and the parameters of the grading profile can have profound effect on the effective permittivity at high concentrations of the inclusions. It is pointed out that TFM used in this paper can be further extended to investigate the effective elastic, thermal, and electroelastic properties of anisotropic graded granular composite materials.

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Basin-scale heterogeneity contains information about the traces of the past sedimentary cycle and tectonic process, and has been a major concern to geophysicists because of its importance in resource exploration and development. In this paper, the sonic data of 30 wells of Sulige field are used to inverse the power-law spectra slope and correlation length which are measures of the heterogeneity of the velocity of the log using fractal and statistic correlation methods. By taking the heterogeneity parameters of different wells interpolated, we get power law spectra slope and correlation length contours reflecting the stratum heterogeneity. Then using correlation and gradient, we inverse the transverse heterogeneity of Sulige field. Reservior-scale heterogeneity influnce the distribution of remaining oil and hydrocarbon accumulation. Using wavelet modulus maximum method to divide the sedimentary cycle using Gr data, therefore we can calculate the heterogeneity parameter in each layer of each log. Then we get the heterogeneity distribution of each layer of Sulige field. Finally, we analyze the relation between the signal sigularity and the strata heterogeneity, and get two different sigularity profiles in different areas.