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      奇异性     
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  singularity
    The Singularity Analysis of the Stress and Strain Fields for Mode I Fracture in Elastic-Plastic State
    弹塑性状态下Ⅰ型裂纹前缘应力应变场的奇异性分析
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    Boundary Element Modeling of the Stress Singularity at the Front of Surface Crack
    表面裂纹前沿奇异性的边界元模型及其数值解
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    CONSERVATIVE INTEGRALS FOR STRESS FIELDS WITH ARBITRARY SINGULARITY
    任意奇异性阶次的应力场的守恒积分
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    Boundary Element Modeling of Stress Singularity at the Front of a Semi-circular Surface Crack
    半圆形表面裂纹前沿应力奇异性的边界元模拟
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    STRESS SINGULARITY ANALYSIS FOR A GRACK INITIATING AT A FLAT INCLUSION TIP
    夹杂尖端出现裂纹时应力奇异性分析
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  singular
    Analysis on the Singular in the Field at the Tip of a Dynamic Propagating Crack
    动态扩展裂纹尖端场奇异性的研究
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    AN EXPERIMENTAL ANALYSIS FOR SINGULAR STAIE NEAR EDGE OF INTERFACE IN BIMAIERIAL
    异质双材料界面端部应力奇异性的实验分析
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    Using Wavelet Transform to Study the Lipschitz Local Singular Exponent in Wall Turbulence
    用子波变换研究壁湍流Lipschitz奇异性指数
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    ANALYSIS OF SINGULAR FIELD NEAR MODE Ⅱ STEADY PROPAGATING CRACK TIP
    Ⅱ型稳恒扩展裂纹尖端的奇异性场分析
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    Singular Analysis of Bifurcation of Nonlinear Normal Modes for a Class of Systems With Dual Internal Resonances
    双重内共振系统非线性模态分岔的奇异性分析
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  singularities
    SINGULARITIES IN ANiSOTROPIC COMPOSITES
    各向异性复合材料的应力奇异性
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    THE STRESS SINGULARITIES IN THE ELASTIC CONTACT PROBLEM OF TWO DISSIMILAR ORTHOTROPIC WEDGES
    “论两种不同正交异性楔弹性接触”中应力奇异性
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    Conic-shaped Crack Point Stress Singularities at a Bi-material Interface
    截锥面形界面裂纹尖端附近应力奇异性分析
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    Stokes Flow Due to Fundamental Singularities Before a Plane Boundary
    平面边界前Stokes流动基本的奇异性
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    SINGULARITIES AND NONLINEAR VIBRATION OF ELASTIC STRAIGHT BARS IN THERMAL FIELD UNDER HARMONIC EXCITATION
    弹性直杆在温度场中的非线性振动与奇异性
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  the singularity
    The Singularity Analysis of the Stress and Strain Fields for Mode I Fracture in Elastic-Plastic State
    弹塑性状态下Ⅰ型裂纹前缘应力应变场的奇异性分析
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    RESEARCH ON METHODS FOR OVERCOMING THE SINGULARITY OF THE EULER EQUATION
    克服欧拉方程奇异性的方法研究
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    |The transition set and the bifurcation figures of the nonlinear systems have been achieved by the singularity theory.
    第五章用规范形理论求出了非线性系统的分岔响应方程,用奇异性理论得到了系统的转迁集和分岔图。
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    EsPecially,the Plastic strain rates possess the singularity of r~(-1)(1n(R/r))in the homogeneous zone and of r~(-1)in the fan zone.
    特别地塑性应变率在均匀应力区具有r~(-1)(1nR/r)~(-1)阶奇异性,在中心扇形区有 r~(-1)阶奇异性
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    The research shows that the stress singularity is different with that in plane problems. On the symmetric interface end, the singularity index increases from 0 to 0.5 with the interface end angular θ  from 90° to 180°.
    研究一阶场后发现,奇异规律与一般平面问题界面端有显著区别,在界面端关于界面对称的情况下,平角界面端(θ1 = θ2 = θ = 90°) 应力场没有奇异性,其它形状的界面端随着角度θ 从90°到180°,奇异指数也从0到0.5。
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      singularity
           Singularity spectrum of multifractal functions involving oscillating singularities
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           Singularity of Vector Valued Measures in Terms of Fourier Transform
    例句来源      
           We study how the singularity (in the sense of Hausdorff dimension) of a vector valued measure can be affected by certain restrictions imposed on its Fourier transform.
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           When the density function is high in the center and decreasing with the radius, the collapse process will be described, and in this case, the singularity will only come out in the center because of collision.
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           It can improve the stability of the intersection of given curves and surfaces in singularity cases.
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      singular
           We give as an application a family of singular Schubert varieties.
    例句来源      
           Cohomology pairings on singular quotients in geometric invariant theory
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           Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations
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           Finally Witten's integral is considered for this singular case.
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           Moreover, we prove that if C is not smooth, then C has exactly one singular point and theMakar-Limanov invariant of S is trivial.
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      singularities
           We also give formulas for intersection pairings on resolutions of singularities (or more precisely partial resolutions, since orbifold singularities are allowed) of the quotients.
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           This gives a geometric explanation for the appearance of pattern avoidance in the study of singularities of Schubert varieties.
    例句来源      
           We study a generalization of the isomonodromic deformation to the case of connections with irregular singularities.
    例句来源      
           The proof uses some new results due to Koras and Russell on contractible surfaces with at most quotient singularities and also several results about reductive group actions on affine varieties.
    例句来源      
           Contractible affine surfaces with quotient singularities
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    更多          
      the singularity
           We study how the singularity (in the sense of Hausdorff dimension) of a vector valued measure can be affected by certain restrictions imposed on its Fourier transform.
    例句来源      
           When the density function is high in the center and decreasing with the radius, the collapse process will be described, and in this case, the singularity will only come out in the center because of collision.
    例句来源      
           The results show that the new procedure can both improve the prediction of statistics of the flow and effectively relieve the singularity of subgrid-scale (SGS) model coefficient.
    例句来源      
           The singularity of the proposed model lies in making explicit discrimination between the detected and overlooked patients and taking into account their migration.
    例句来源      
           In the present study, following [3], to improve the convergence of the series for the pressures use is made of the method of separation of the singularity, which allows the solution to be used also for large eccentricities.
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    更多          



             Although there are many kinds of finite element method for determining the stress intensity factors, the problem is still very complex because of the existence of the singularity at the crack tip. In this paper the superposition of the ordinary finite element method on the singularity terms is applied to the determination of the stress intensity factors. Thus the problem is greatly simplified and the accuracy of the result is improved. For instance, the errors in the stress intensity factor of a single-ed...
                虽然目前计算应力强度因子的有限元法已有很多种,但是由于裂纹尖端存在奇异性,问题仍然相当繁复。本文采用在奇异项上叠加普通有限元法来确定应力强度因子,从而大大简化了问题,并提高了结果精度。例如对于承受均匀拉伸单边裂纹板,当裂纹长度与板宽之比为0.5及0.8时,应力强度因子的误差分别为2.8%及3.5%。
    文摘来源
             This paper discusses an extension of the D-M model which is used for strain hardening materials. A model of cohesive zone at the crack tip is assumed as linear σ=A+Bx. Like Dagdale, its objective is to remove the singularity at the crack tip.In this paper, the formulas of plastic range and critical crack opening displacement are obtained. It can be considered as a new fracture criterion in COD.The paper may be of interest to research workers and engineers working in the field of fracture mechanics.
                本文将D-M模型延伸用于应变硬化材料。在裂纹尖端的结合力的模型假定是线性的σ=A+Bx。如Dagdale一样,同样是以消除裂纹尖端的奇异性为目标来作的。本文得到了塑性区与临界张开位移的公式。它可作为COD的新的断裂判据。本文可能使工作在断裂力学领域内的研究人员与工程师们感觉兴趣。
    文摘来源
             In this report, the basic principle and methods of laser beam reflective holographic and speckle interferometry for studying the three-dimensional displacement fields are presented. Using these methods the three-dimensional displacement fields around a crack tip for centrally cracked strip are measured. The strips are made of aluminum alloy LY12-CZ, and are subjected to uniaxial tension and large-scale yield conditions. In this report, the following results are described: (1)the change of the size and cont...
                本文介绍了激光一束光反射式全息和激光散斑干涉法基本原理,两者结合分析三维位移场的基本方法。用此方法分析了有限宽带有中心裂纹铝合金板(LY 12—CZ),在受均匀伸拉载荷作用下,直至大范围屈服情况下,裂纹尖端三维位移场。本文给出了位移场与裂纹尖端塑性区随载荷变化,直至裂纹失稳扩展,裂纹尖端塑性区的变化。讨论了在上述条件下,裂纹板塑性区的形状;给出了塑性区尺寸随载荷变化曲线。定量测定了裂纹尖端附近u,v,w三维位移;一定标距下P—△曲线,裂纹尖端特征点的 COD随载荷变化曲线;裂纹起裂点的 δc(即COD*),给出了裂纹尖端应变变化和应变奇异性结果。
    文摘来源
     
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