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941.
942.
Anish Roy 《Journal of the mechanics and physics of solids》2006,54(8):1711-1743
In Part I of this set of two papers, a model of mesoscopic plasticity is developed for studying initial-boundary value problems of small scale plasticity. Here we make qualitative, finite element method-based computational predictions of the theory. We demonstrate size effects and the development of strong inhomogeneity in simple shearing of plastically constrained grains. Non-locality in elastic straining leading to a strong Bauschinger effect is analyzed. Low shear strain boundary layers in constrained simple shearing of infinite layers of polycrystalline materials are not predicted by the model, and we justify the result based on an examination of the no-dislocation-flow boundary condition. The time-dependent, spatially homogeneous, simple shearing solution of PMFDM is studied numerically. The computational results and an analysis of continuous dependence with respect to initial data of solutions for a model linear problem point to the need for a nonlinear study of a stability transition of the homogeneous solution with decreasing grain size and increasing applied deformation. The continuous-dependence analysis also points to a possible mechanism for the development of spatial inhomogeneity in the initial stages of deformation in lower-order gradient plasticity theory. Results from thermal cycling of small scale beams/films with different degrees of constraint to plastic flow are presented showing size effects and reciprocal-film-thickness scaling of dislocation density boundary layer width. Qualitative similarities with results from discrete dislocation analyses are noted where possible.We discuss the convergence of approximate solutions with mesh refinement and its implications for the prediction of dislocation microstructure development, motivated by the notion of measure-valued solutions to conservation laws. 相似文献
943.
三轴运动模拟转台的结构对称性与动力学计算 总被引:3,自引:0,他引:3
马智周 《中国惯性技术学报》1998,(3)
本文给出了三轴运动模拟转台动力学相互作用的计算公式,并讨论了它的结构对称性问题。 相似文献
944.
P. Flores L. Duchêne C. Bouffioux T. Lelotte C. Henrard N. Pernin A. Van Bael S. He J. Duflou A.M. Habraken 《International Journal of Plasticity》2007
The bi-axial experimental equipment [Flores, P., Rondia, E., Habraken, A.M., 2005a. Development of an experimental equipment for the identification of constitutive laws (Special Issue). International Journal of Forming Processes] developed by Flores enables to perform Bauschinger shear tests and successive or simultaneous simple shear tests and plane strain tests. Flores investigates the material behavior with the help of classical tensile tests and the ones performed in his bi-axial machine in order to identify the yield locus and the hardening model. With tests performed on one steel grade, the methods applied to identify classical yield surfaces such as [Hill, R., 1948. A theory of the yielding and plastic flow of anisotropic materials. Proceedings of the Royal Society of London A 193, 281–297; Hosford, W.F., 1979. On yield loci of anisotropic cubic metals. In: Proceedings of the 7th North American Metalworking Conf. (NMRC), SME, Dearborn, MI, pp. 191–197] ones as well as isotropic Swift type hardening, kinematic Armstrong–Frederick or Teodosiu and Hu hardening models are explained. Comparison with the Taylor–Bishop–Hill yield locus is also provided. The effect of both yield locus and hardening model choices is presented for two applications: plane strain tensile test and Single Point Incremental Forming (SPIF). 相似文献
945.
A non-equilibrium reacting flow methodology has been added to a conservative, monotonic, compressible flow solver to allow
numerical simulations of gas detonations. This flow solver incorporates unstructured dynamically adaptive meshes with the
Finite Element Method – Flux Corrected Transport (FEM-FCT) scheme, which has shown excellent predictive capability of various
non-reacting compressible flows. A two-step induction parameter model was used to model the combustion of the gas phase coupled
with an energy release equation which was simulated with a point implicit finite element scheme. This combustion model was
then applied to a two-dimensional detonation test case of a hypothetical fuel:oxygen mixture. The detonation simulation yielded two transverse waves which continued to propagate. This feature and
the detonation shock speed mean and fluctuations were found to be grid-independent based on a resolution of about twenty elements
within the average induction length. The resolution was efficiently achieved with the unstructured dynamically adaptive finite
elements, which were three orders of magnitude less in number then required for uniform discretization.
Received 26 August 1996 / Accepted 31 March 1997 相似文献
946.
Prior experiments have revealed exceptionally high values of the work of fracture (0.4-) in carbon/epoxy 3D interlock woven composites. Detailed destructive examination of specimens suggested that much of the work of fracture arose when the specimens were strained well beyond the failure of individual tows yet still carried loads . A mechanism of lockup amongst broken tows sliding across the final tensile fracture surface was suggested as the means by which high loads could still be transferred after tow failure. In this paper, the roles of weave architecture and the distribution of flaws in the mechanics of tow lockup are investigated by Monte Carlo simulations using the so-called Binary Model. The Binary Model was introduced previously as a finite element formulation specialised to the problem of simulating relatively large, three-dimensional segments of textile composites, without any assumption of periodicity or other symmetry, while preserving the architecture and topology of the tow arrangement. The simulations succeed in reproducing all qualitative aspects of measured stress-strain curves. They reveal that lockup can indeed account for high loads being sustained beyond tow failure, provided flaws in tows have certain spatial distributions. The importance of the interlock architecture in enhancing friction by holding asperities on sliding fibre tows into firm contact is highlighted. 相似文献
947.
三轴模拟台的交叉耦合及其控制方法的研究 总被引:2,自引:0,他引:2
本文主要从三轴转台的模型出发,研究了采用状态反馈的最优控制及状态观测器来提高控制系统的自适应能力,以解决三轴台特有的不确定非线性耦合问题和变结构解耦控制。 相似文献
948.
This study develops a small-deformation theory of strain-gradient plasticity for single crystals. The theory is based on: (i) a kinematical notion of a continuous distribution of edge and screw dislocations; (ii) a system of microscopic stresses consistent with a system of microscopic force balances, one balance for each slip system; (iii) a mechanical version of the second law that includes, via the microscopic stresses, work performed during viscoplastic flow; and (iv) a constitutive theory that allows:
- •
- the free energy to depend on densities of edge and screw dislocations and hence on gradients of (plastic) slip;
- •
- the microscopic stresses to depend on slip-rate gradients.
949.
等达因图象的自动采集与识别 总被引:1,自引:0,他引:1
文中提出了一种机机械扫描系统.小功率激光器、图象板、相移元件、微机和程序软件组成的等达因图象自动采集与处理系统,用灰度值比较的思想实现了等达因图象的跟踪采集。提出了四幅图象相移法实现等达因图象的自动识别。系统能快速、实时、精确和全自动地实现等达因图象的记录和分析。给出与物体内各点应力状态一一对应的位相图。并用来研究了其他实验方法困难的局部三维效应问题。 相似文献
950.
本文讨论二维弹性力学平面问题,独立于Rizzo型边界分方程,一类新型的边界积分方程,其边界场变量包含应力分量σijtitj(其中ti是边界切向余弦)。该应力分量可直接用数值方法解边界积分方程求出,它比常规的边界元解提高一阶精度。文末的算例表明确定论的实用性和有效性。 相似文献