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a complex variable
相关语句
  复变
    A COMPLEX VARIABLE BOUNDARY ELEMENT METHOD FOR SANDWICH PLATES
    夹层板的复变边界元解法
短句来源
    A COMPLEX VARIABLE VARIATIONAL METHOD FOR SOLVING INTENSITY FACTORS IN ORTHOTROPIC PLATES WITH CRACKS EMANATING FROM A HOLE
    求解含孔边裂纹各向异性板应力强度因子的复变—广义变分方法
短句来源
    STRESS SOLUTlON OF COMBINED PLANE CRACK BY USING THE THEORY OF FUNCTION OF A COMPLEX VARIABLE
    平面复合型裂纹的复变函数解法
短句来源
    By using a complex variable method in this paper, the complex form of J-in-tegral of mixed mode cracktip for unidirectional plate of linear-elastic orthotro-pic composites is obtained first by substituting crack-tip stresses and displacements into the general formula of J-integral. Then the path-independence of this J-integral is proved. Finally the computing formula of this J-integial is derived.
    本文采用复变函数方法,首先将裂纹尖端应力和位移代入J积分的一般公式得到了线弹性正交异性复合材料单向板复合型裂纹尖端的J积分的复形式,其次证明了该J积分的路径无关性,最后推出了该J积分的计算公式.
短句来源
    Using the Cauchy Integral Method of a complex variable, fundamental solution of the complex function or the stress intensity caused from a concentrated load acting on an arbitrary point in an anisotropic plane with an elliptical hole or a crack is systematically derived.
    应用复变函数Cauchy积分的方法,对含有椭圆孔或裂纹的各向异性平面,系统地导出了当其在面内受任意集中载荷作用时的复应力函数解或裂纹应力强度因子解析解,即基本解;
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  “a complex variable”译为未确定词的双语例句
    In this paper 1/2 subharmonic resonance and bifurcation in a rotating shaft with an unsymmetrical stiffness are studied. By means of the Hamilton's principle the nonlinear differential equations of motion of the shaft are derived in the rotating rectangular coordinate system. Trans forming the equations of motion from rotating coordinate system into stationary coordinate system and introducing a complex variable we obtain the equation of motion in complex variable forms in which the stiffness coefficient varies periodically with time.
    研究具有非轴对称刚度转轴的1/2亚谐共振和分岔.首先用Hamilton原理导出运动微分方程,这是刚度系数周期性变化的参数激励方程,然后用多尺度法求得平均方程,分岔响应方程和定常解,最后用奇异性理论分析分岔响应方程和定常解的稳定性,得到了局部分岔集和不同区域的不同的分岔响应曲线.
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  a complex variable
Photoelastic calculations by a complex variable method
      
A complex variable technique for the stress field around an elliptic underground inhomogeneity
      
A complex variable technique to study notch-effects in geodynamics
      
On certain compositions of functions of a complex variable
      
On certain compositions of functions of a complex variable
      
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The finite plane-strain buckling problem for an elastic cylindrical body of a harmonic material with rectangular cross section under lateral compression is treated, em- phasis being laid on initial postbuckling behaviors. The nonlinear effects of small incremental deformations are taken into account up to the third order. By carrying out a perturbation procedure and using a complex variable method, a second-order perturbation solution for the nonlinear eigenvalue problem concerned is found out, which gives...

The finite plane-strain buckling problem for an elastic cylindrical body of a harmonic material with rectangular cross section under lateral compression is treated, em- phasis being laid on initial postbuckling behaviors. The nonlinear effects of small incremental deformations are taken into account up to the third order. By carrying out a perturbation procedure and using a complex variable method, a second-order perturbation solution for the nonlinear eigenvalue problem concerned is found out, which gives us not only a buckling condition and a buckling mode but also the initial postbuckling amplitude for each order of buckling.

本文考察谐和弹性长方柱体在侧向受压下的有限平面应变屈曲,着重于屈曲后初期行为的分析,考虑了微小增量变形直至三阶的非线性效应,通过摄动处理并利用复变方法,求得非线性特征值问题的二次摄动解,从而确定了任意次屈曲的临界条件和模式,尤其是屈曲后初始蝠值的基本变化性态。

Description is given of a complex variable variational method (C. V. M) for determination of the stress intensity factors (S. I. F.) in orthotropic plates with cracks emanating from a hole. The analysis is based upon the use of the two dimensional theory of anisotropic elasticity to establish stress and displacement series which automatically sati(?)fy all basic equations and boundary conditions on the crack surfaces. By using a gene(?)alized variational principle the remaining boundary conditions are...

Description is given of a complex variable variational method (C. V. M) for determination of the stress intensity factors (S. I. F.) in orthotropic plates with cracks emanating from a hole. The analysis is based upon the use of the two dimensional theory of anisotropic elasticity to establish stress and displacement series which automatically sati(?)fy all basic equations and boundary conditions on the crack surfaces. By using a gene(?)alized variational principle the remaining boundary conditions are satisfied, and the stress or displacement field as well as S. I. F. are solved. Numerical stucies reveal the superior convergence properties and high accuracy obtained using a relatively simple program. The performance of the C. V. M. is compared with predictions given by the finite elementhod.

本文提供了一个求解含孔边裂纹正交各向异性板应力强度因子的复变一广义变分方法.首先建立满足所有弹性力学基本方程式和裂纹表面边界条件的应力与位移级数表达式.然后应用广义变分原理满足其余边界条件从而确定应力强度因子.计算表明,级数收敛迅速,结果与有限元法非常一致,而所需机时较少.

By using a complex variable method in this paper, the complex form of J-in-tegral of mixed mode cracktip for unidirectional plate of linear-elastic orthotro-pic composites is obtained first by substituting crack-tip stresses and displacements into the general formula of J-integral. Then the path-independence of this J-integral is proved. Finally the computing formula of this J-integial is derived. As special examples, the complex forms, path-independence and computing formulae of J-integrals...

By using a complex variable method in this paper, the complex form of J-in-tegral of mixed mode cracktip for unidirectional plate of linear-elastic orthotro-pic composites is obtained first by substituting crack-tip stresses and displacements into the general formula of J-integral. Then the path-independence of this J-integral is proved. Finally the computing formula of this J-integial is derived. As special examples, the complex forms, path-independence and computing formulae of J-integrals of mode I and mode II crack tips for unidirectional plate of linear-elastic orthotropic composites are given.

本文采用复变函数方法,首先将裂纹尖端应力和位移代入J积分的一般公式得到了线弹性正交异性复合材料单向板复合型裂纹尖端的J积分的复形式,其次证明了该J积分的路径无关性,最后推出了该J积分的计算公式.作为特例,给出了线弹性正交异性复合材料单向板Ⅰ,Ⅱ型裂纹尖端的J积分的复形式,路径无关性和计算公式.

 
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