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91.
Rafael Cortell 《Theoretical and Computational Fluid Dynamics》2007,21(6):435-446
In this paper, a numerical analysis of the momentum and heat transfer of an incompressible fluid past a parallel moving sheet
based on composite reference velocity U is carried out. A single set of equations has been formulated for both momentum and thermal boundary layer problems containing
the following parameters: r the ratio of the free stream velocity to the composite reference velocity, σ (Prandtl number) the ratio of the momentum diffusivity
of the fluid to its thermal diffusivity, and E
c
(E
ck
) (Eckert number). The present study has been carried out in the domain 0 ≤ r ≤ 1. It is found that the direction of the wall shear changes in such an interval and an increase of the parameter r yields an increase in temperature.
相似文献
92.
The paper presents a solution to the problem of thermal conduction and thermoelasticity for a thin shallow spherical shell
heated by a concentrated or local impulsive heat source moving over the shell surface. It is assumed that temperature is linearly
distributed across the shell thickness and that the shell, on its sides, exchanges heat with the environment in accordance
with Newton’s law of cooling. The Fourier and Laplace transforms are used to find an analytic solution. The dependence of
the temperature field and stress/strain components on the type of heating and the form of heat source is studied
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 11, pp. 85–92, November 2006. 相似文献
93.
用解析方法研究了非均匀弹性材料中反平面运动裂纹问题。首先采用余弦变换求解非均匀材料的基本方程,然后根据混合边值条件建立裂纹运动的对偶积分方程,再把对偶积分方程化为第二类Fredholm积分方程。给出了数值算例,计算结果表明材料的非均匀性对动应力强度因子有较大的影响。 相似文献
94.
The steady laminar flow and thermal characteristics of a continuously moving vertical sheet of extruded material are studied close to and far downstream from the extrusion slot. The velocity and temperature variations, obtained by a finite volume method, are used to map out the entire forced, mixed and natural convection regimes. The effects of the Prandtl number (Pr) and the buoyancy force parameter (B) on the friction and heat transfer coefficients are investigated. Comparisons with experimental measurements and solutions by others in the pure forced and pure natural convection regions are made. In the mixed convection region, the results are compared with available finite-difference solutions of the boundary layer equations showing excellent agreement. The region close to the extrusion slot is characterized as a non-similar forced-convection dominated region in which NuxRex−1/2 drops sharply with increasing Richardson number (Rix). This is followed by a self-similar forced-convection dominated region in which NuxRex−1/2 levels off with increasing Rix until the buoyancy effect sets in. The existence and extent of the latter region depend upon the value of B. A non-similar mixed convection region where increasing buoyancy effect enhances the heat transfer rate follows. Finally, this region is followed downstream by a self-similar natural-convection dominated region in which NuxRex−1/2 approaches the pure natural convection asymptote at large Rix. Critical values of Rix to distinguish the various convection regimes are determined for different Pr and B. 相似文献
95.
96.
Thin structures are generally solved by the Finite Element Method (FEM), using plate or shell finite elements which have many
limitations in applications, such as numerical locking, edge effects, length scaling and the envergence problem. Recently,
by proposing a new approach to treating the nearly-singular integrals, Liu et al. developed a BEM to successfully solve thin
structures with the thickness-to-length ratios in the micro- or nano-scales. On the other hand, the meshless Regular Hybrid
Boundary Node Method (RHBNM), which is proposed by the current authors and based on a modified functional and the Moving Least-Square
(MLS) approximation, has very promising applications for engineering problems owing to its meshless nature and dimension-reduction
advantage, and not involving any singular or nearly-singular integrals. Test examples show that the RHBNM can also be applied
readily to thin structures with high accuracy without any modification. 相似文献
97.
化学计量学算法为重叠气相色谱-质谱(GC-MS)信号的解析提供了有效手段,但其在计算过程中一般需要将数据进行分段处理,然后只对信号的某些区间进行解析,难以实现真正意义上的高通量分析。该文结合移动窗口目标转换因子分析(MWTTFA)和非负免疫算法(NNIA),建立了一种高通量解析方法。首先,根据所有可能存在的目标组分的标准质谱信息,利用MWTTFA检验复杂信号中存在的组分,并确定目标组分的质谱信息和洗脱时间区域。以得到的质谱信息作为后续计算的输入值,利用NNIA解析得到相应的色谱信息。采用快速升温程序对17种和42种农药混合标准样品的GC-MS信号进行分析,利用所建立的方法可在10 min内得到全部组分的色谱和质谱信息。 相似文献
98.
《Journal of separation science》2017,40(3):789-797
A common drawback of paper‐based separation devices is their poor detection limit. In this study, we combined field‐amplified sample stacking with moving reaction boundary electrophoresis on a paper chip with six array channels for the parallel separation and concentration of multiple samples. With a new hyphenated technique, the brown I2 from the Fe3+/I− oxidation–reduction reaction emerged near the boundary between the dilute ethylene diamine tetraacetic acid and potassium iodide and highly concentrated KCl solutions. For the separation and concentration of three components, Cr3+, Cu2+, and Fe3+, the Fe3+ detection limit was improved at least 266‐fold by comparing the hyphenated technique with moving reaction boundary electrophoresis. The detection limit of Fe3+ was found to be as low as 0.34 ng (20 μM) on the paper chip. We also demonstrated the analysis of a real sample of four metal ions, with detection limits as follows: 0.16 μg Cr3+, 1.5 μg Ni2+, 0.64 μg Cu2+, and 1.5 μg Co2+. The synergy of field‐amplified sample stacking and moving reaction boundary electrophoresis in the micron paper‐based array channels dramatically improved the detection limit and throughput of paper‐based electrophoresis. 相似文献
99.
通过改进Brezis和Merle的方法,结合Moser-Trudinger不等式,移动平面方法及比较原理,得到了方程-Q_Nu=f(u),u∈W_0~(1,N)(Ω)的正解的先验界,其中Ω是R~N中的一个有界光滑区域,非线性项f至多具有指数型增长. 相似文献
100.
Ivan C. Christov Christo I. Christov 《Mathematical Methods in the Applied Sciences》2017,40(12):4481-4492
We investigate the propagation of infinitesimal harmonic mechanical waves emitted from a boundary with variable velocity and arriving at a stationary observer. In the classical Doppler effect, Xs(t)=vt is the location of the source with constant velocity v. In the present work, however, we consider a source co‐located with a moving boundary x=Xs(t), where Xs(t) can have an arbitrary functional form. For ‘slowly moving’ boundaries (i.e., ones for which the timescale set by the mechanical motion is large in comparison to the inverse of the frequency of the emitted wave), we present a multiple‐scale asymptotic analysis of the moving boundary problem for the linear wave equation. We obtain a closed‐form leading‐order (with respect to the latter small parameter) solution and show that the variable velocity of the boundary results not only in frequency modulation but also in amplitude modulation of the received signal. Consequently, our results extend the applicability of two basic tenets of the theory of a moving source on a stationary domain, specifically that (i) for non‐uniform boundary motion can be inserted in place of the constant velocity v in the classical Doppler formula and (ii) that the non‐uniform boundary motion introduces variability in the amplitude of the wave. The specific examples of decelerating and oscillatory boundary motion are worked out and illustrated. Copyright © 2017 John Wiley & Sons, Ltd. 相似文献