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31.
Xanthippi Markenscoff Surong Huang 《Journal of the mechanics and physics of solids》2008,56(6):2225-2239
An analysis is performed for an accelerating screw dislocation through the shear-wave speed barrier. At this instant, the function that determines the interval of the path of the dislocation motion that contributes to the wave front has roots that change from a pair of complex conjugate to a double real, which subsequently splits into two real ones. The analysis is performed at this transition to supersonic that occurs at the double root maximum of the function that defines the interval of the dislocation path that contributes to the field points. It is found that the stress has a log|ξ-ξ*|/|ξ-ξ*|1/2 singularity in the coefficient of the delta function of the forming Mach front, implying that for this phenomenon the Volterra dislocation model has too strong a discontinuity (step-function) in the displacement to be meaningful. A ramp-core displacement dislocation model analysis, which removes the singularity in the stress, is presented. These results can be useful in a multiscale dislocation dynamics modeling with inertia effects. 相似文献
32.
This paper attempts to investigate the problem for the interaction between a uniformly moving screw dislocation and interface rigid lines in two dissimilar.anisotropic. materials. Integrating Riemann-Schwarz's symmetry principle with the analysis singularity of complex functions, we present the general elastic solutions of this problem and the closed form solutions for interfaces containing one and two rigid lines. The expressions of stress intensity factors, at the rigid line tips and image force acting on moving dislocation are derived explicitly. The results show that dislocation velocity has an antishielding effect on the rigid line tip and a larger dislocation velocity leads to the equilibrium position of dislocation closing with the rigid line. The presented solutions contain previously known results as the special cases. 相似文献
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Introduction Drillstringsina3Dlargedisplacementwellboreareusuallyregardedas3Dcurved beamswithlargedisplacementandlargerotationbutwithsmallstrain,thus,therelationship betweenstressandstrainislinear.Thedeformationofdrillstringscanbecomposedoftwo parts:oneiscalledtheinitialdeformationcausedwhentheaxisofthedrillstringisdeformed fromitsstraightconfigurationtothepositioncoincidentwiththewellaxis,involvinglarge rotationsandwiththeimplicationoffiniterotationalproblem.Theotheristhedeformation fromthew… 相似文献
35.
对小井眼、大曲率井中钻柱强度问题,以井轴为基准轴,在对井轴弯挠描述和钻柱微段三维受力变形分析的基础上,建立大位移钻柱平衡微分方程,采用Longe-Kutta法解之求内力,并依此求应力和建立强度条件.对H767侧钻水平井施工中钻柱应力计算分析,结果说明与有限元模型和弹性化软绳模型比较相吻合,该模型比有限元模型计算简捷方便;比弹性化软绳模型更完善可信;该井钻柱破坏事故愿因在于井眼曲率过大,兼有应力集中. 相似文献
36.
运用Simufact有限元软件建立了三辊斜轧两道次成形多台阶涡轮轴的仿真模型, 通过数值模拟分析了涡轮轴成形情况, 探究了减径量对轧制过程中轧制力、等效应力-应变以及外圆度误差的影响规律. 结果表明: 随减径量的增大, 轧件第1道次和第2道次的径向载荷、等效应力、等效应变和外圆度误差均呈增大趋势. 综合比较3种方案下的轧件成形情况, 方案2为最佳的道次减径量分配方案, 即第1道次减径6mm, 第2道次各台阶减径量分别为2、9和14mm. 相似文献
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ZHENG Jian-long 《应用数学和力学(英文版)》2005,26(8):1047-1055
IntroductionPiezoelectric materials have potentials for use in many modern devices and compositestructures. The presence of various defects, such as inclusions, holes, dislocations andcracks, can greatly influence their characteristics and coupled behavio… 相似文献
39.
常规螺杆泵定子有限元分析 总被引:8,自引:0,他引:8
螺杆泵定子橡胶不仅是易损构件,而且它与转子的配合状况对螺杆泵的工作性能影响显著。目前,还没有能够直接对实际工况下的定子橡胶的变形和受力状态进行测试的有效手段,因此对螺杆泵定子进行有限元分析自然是有益的尝试。重点研究定子橡胶衬垫内轮廓线的变形规律,而应力和应变分布情况仅作为辅助性的分析;对螺杆泵工况的考虑方面,重点研究均匀内压作用的情况,再考虑工作压差以及定子与转子的装配等所引起定子橡胶的变形和受力的变化。利用有限元分析软件Abaqus,对螺杆泵定子进行研究,得出了螺杆泵定子在不同工况下的受力状态和变形规律以及定子材料参数对变形规律的影响。利用此规律可对螺杆泵进行优化设计,提高其工作效率。 相似文献
40.
《Wave Motion》2016
Bloch theorem is useful for analyzing wave propagation in periodic systems. It has been widely used to determine the energy bands of various translationally-periodic crystals and with the advent of nanoscale structures like nanotubes, it has been extended to account for additional symmetries using group theory. However, this extension is restricted to Hamiltonian systems with analytical potentials. For complex problems, as for engineering structures, the periodic unit cells are often discretized and the Bloch method is restricted to translational periodicity.The goal of this paper is to generalize the direct and transfer-matrix propagation Bloch method to structures with glide and screw symmetries by deriving appropriate boundary conditions. Dispersion relations for a set of reduced problems are compared to results from the classical method, when available. It is found that (i) the dispersion curves are easier to interpret, (ii) the computational cost and error are reduced, and (iii) revisited Bloch method is applicable to structures as the Boerdijk–Coxeter helix that do not possess purely-translational symmetries for which the classical method is not applicable. 相似文献