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181.
A contact problem of two elastic convex and axially symmetric solids heated (or cooled) to temperatures of different values is considered. Pertinent formulae have been derived for relations between the contact pressure, geometrical characteristics of the solids and distributions of heat flux over the contacting region. We have analysed: 1. The problem of the loss of the contact between two solids pressed together with active heat fluxes. We discuss the cases for which the contact of the axially symmetric solids can take the form of a circle, or an annulus. 2. The problem of a paradox when the mathematically well posed contact problem of thermoelasticity leads to a physically unacceptable solution with a region of overlapping materials. Here we discuss a generalization of the cooled sphere paradox. The heat flux functions are continuously differentiable, of constant sign. The conditions have been derived for the cases when the paradox can be avoided. 相似文献
182.
G. E. Stavroulakis D. Goeleven P. D. Panagiotopoulos 《Archive of Applied Mechanics (Ingenieur Archiv)》1996,67(1-2):50-61
Summary A hemivariational inequality model for adhesive grasping problems is proposed and studied in this paper. The unilateral frictionless and frictional contact effects between the fingertips and the grasping object that lead to linear complementarity problems with singular matrices for the study of static equilibrium of the gripper-object system are generalized here to cover adhesive multifingered grippers. Adhesive effects are modelled by appropriately defined, generally nonconvex, yield sets in the space of contact stresses, friction stresses, gaps or frictional slips and their combinations. The hemivariational inequality problem that arises may involve copositive plus, symmetric matrices and nonempty closed sets for the frictionless gripper problem and copositive plus, nonsymmetric matrices with starshaped sets for the frictional case. Solvability conditions that guarantee the existence of a solution to the gripper problem are given. They specify the conditions which are required to hold between external forces, fingertip mechanical behavior and finger placement in order to solve the gripper problem. 相似文献
183.
LiLiang 《Acta Mechanica Solida Sinica》2004,17(3):196-202
I. INTRODUCTION It is well known that rubber materials are much more important in modern society. It is, therefore,not surprising that a sizable number of investigations have been concerned with the rubber materials.Considerable attention has been paid … 相似文献
184.
185.
L. Afferrante 《Journal of the mechanics and physics of solids》2006,54(11):2330-2353
Recently, we found that a new form of coupled instability, named ThermoElastic Dynamic Instability (TEDI), can occur by interaction between frictional heating and the natural dynamic modes of sliding bodies. This is distinct from the classical dynamic instabilities (DI) which is produced by an interaction between the frictional forces at the sliding interface and the natural modes of vibration of the bodies if the friction coefficient is sufficiently high, and also from ThermoElastic Instability (TEI), which is due to the interaction of frictional heating and thermal expansion, leading for example to low pitched brake noise above some critical speed. This result was relative to an highly idealized system, comprising an elastic layer sliding over a rigid plane including both dynamic and thermoelastic effects, but neglecting shear waves at the interface due to frictional tractions (from which the denomination “frictionless TEDI”). We demonstrate here that including these shear waves destabilizes both the shear and dilatational vibration modes of the system at arbitrarily small friction coefficients and speeds, where DI and TEI are predicted to be stable. A detailed study of the new modes and transient simulations show that for low pressures and high speed, the system tends towards the results of the previous model (“frictionless TEDI”), i.e. the tendency to a state in which the layer bounces over the plane, with alternating periods of sliding contact and separation. In the case of low speeds and high pressures, viceversa, the system is dominated by the modes near the resonance of the shear and dilatational modes, with a resulting complex behaviour, but generally leading to stick-slip regimes, reducing the jumping mode of “frictionless TEDI”, because stick reduces or stops frictional heating production. 相似文献
186.
We prove the existence of a unique weak solution to the quasistatic problem of frictional contact between a deformable body
and a rigid foundation. The material is assumed to have nonlinear viscoelastic behavior. The contact is modeled with normal
compliance and the associated version of Coulomb's law of dry friction. We establish the continuous dependence of the solution
on the normal compliance function. Moreover, we prove the existence of a unique solution to the problem of sliding contact
with wear.
This revised version was published online in August 2006 with corrections to the Cover Date. 相似文献
187.
Effects of oxidation and surface roughness on contact angle 总被引:1,自引:0,他引:1
Contact angle is known to be a parameter that effects boiling. This study was undertaken to measure contact angle of high and low surface tension fluids on copper and aluminum surfaces.Data were taken for polished, oxidized, and rough surfaces. A simple, yet fairly accurate method of measuring the static equilibrium contact angle of a solid/liquid interface is presented. The principles of a line light source and tilting plate were modified and then combined in the design of this apparatus. The angles obtained and their variation with the solid surface properties were in good agreement with previously published data. The contact angle of distilled water o of the organic fluids and refrigerants tested were in the range of 2–5°. Roughness and oxidation reduce the contact angle. If the depth of the roughness is less than 0.5 μm contact angle. The apparatus is fairly simple in construction, is inexpensive, and has good reproductibity. The measured angles were then compared to those measured with the sessile drop method. 相似文献
188.
将轮胎材料简化为各向同性超弹性材料特性,考虑轮胎与轮毂和地面之间的三维接触以及轮胎中钢丝圈的影响,建立飞机单腹板机轮整体结构有限元模型。主要分析不同轮胎材料参数和内压下,单腹板轮毂轮缘处的径向变形,结果表明;轮毂剖面上测点的应变值与实验结果基本一致。轮胎下沉量与轮毂测点的径向变形和轮毂所受的载荷基本呈线性关系;凸出一侧的轮缘变形最大;轮胎下沉量较大时。轮胎材料参数对轮毂的径向变形影响明显;轮毂测点径向变形在1-2.5mm时,相同的径向变形,轮毂受到的总载荷受轮胎材料参数变化而变化,而在变形较大或较小时,影响不明显。对于同一种轮胎材料,不同的内压,轮毂的变形减轻比较大,气压越高,对于相同的轮胎下沉量,轮毂受到总体荷载也越高。 相似文献
189.
190.
A. M. Khludnev 《Journal of Applied Mechanics and Technical Physics》2005,46(5):717-729
The equilibrium problem for an elastic body containing a crack on the interface between two media is considered. It is proved that there exist invariant (independent of the integration surface) integrals in this problem. The existence of invariant integrals is also established in the problem of a contact between an elastic body and a rigid stamp. Nonlinear boundary conditions of mutual non-penetration are prescribed on the contact boundaries. The physical meaning of invariant integrals is established.__________Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 5, pp. 123–137, September–October, 2005. 相似文献