共查询到17条相似文献，搜索用时 203 毫秒
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提出一种简单有效的计算方法,求解对称荷载作用下含正多边形孔洞无限平面体的弹性应力解。将孔洞内边界向两侧延伸至应力可忽略的远处,其外侧构成半无限平面体。相邻两个半无限平面体有一个公共域,其中一个半无限平面体顶边延伸至相邻两个半限平面体体内。孔洞内边界上面力是已知的,延伸至两相邻半无限平面体体内的顶边上面力可先假设,由弹性理论求出半无限平面体体内应力,再计算相邻半无限平面体顶边上面力,根据对称性得到本半无限平面体顶边上面力改进值,迭代求解直至收敛。该方法具有计算过程简单、精度高等优点。算例分析表明,该方法求解的工程尺度下孔洞周边应力场与复变函数方法、有限元方法计算结果吻合,拟合计算的孔边角点处应力奇异性次数与理论解基本一致。 相似文献
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基于平面弹性复变函数中的保角变换方法,推导出带有衬砌的非圆形隧洞在原始地应力作用下的应力解析解。根据衬砌内边界的应力边界条件及围岩衬砌接触面上的应力和位移连续条件,获得求解围岩和衬砌解析函数的基本方程,计算了围岩和衬砌中的应力和位移。在求解过程中,考虑了支护滞后于开挖的力学过程,并认为围岩和衬砌之间紧密接触,不会相互分开和相对滑动。以马蹄形隧洞为例,获得了围岩开挖边界和衬砌内外边界的切向应力及围岩与衬砌接触面上的接触应力分布规律,并与ANSYS数值方法结果对比,算例表明两种方法的计算结果吻合很好。 相似文献
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桩长及水泥掺入量对柔性桩承载力等的影响 总被引：16，自引：1，他引：16
采用弹性无限半空间体内的Mindlin应力解和分层总和法，计算分析了柔性桩的荷载传递规律，较详细地讨论了桩长、固化剂（水泥）掺入量对柔性桩复合地基承载力、变形的影响。计算值与实测值比较吻合。 相似文献
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《岩土力学》2016,(1)
以管状双椭圆高水压洞室围岩应力为研究对象,将该问题简化为混合边界的双椭圆孔平面应力计算模型。基于平面弹性复变理论,通过保角映射、Cauchy积分及留数定理等方法,求解了具有单椭圆内压孔的两个平面应力复势函数;采用Schwarz交替算法,推导了具有双椭圆内压孔无限平面内任一点的应力分量表达式。据所得表达式,编制了Matlab计算程序,研究了无限平面含双洞室或双椭圆洞室的4个算例,分析了内压及两孔相对位置对围岩应力的影响。研究结果表明:两洞室均无内压时,水平对称双椭圆洞室的左孔口0°(或右孔口180°)处有最大切向应力;各孔口的最大或最小切向应力均随内压的增大而减小;当两孔中仅一孔含内压时,两孔孔口应力随内压的增大而或增或减,具体视孔壁位置而定。 相似文献
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饱和土半空间中圆柱形孔洞对平面P波的散射 总被引：1，自引：0，他引：1
在 Biot饱和多孔介质动力学理论的基础上,首次建立了求解饱和土半空间中圆柱形孔洞对平面 P 波散射问题的波函数展开法。首先。分析了具有圆柱形孔洞的饱和土半空间场地在平面 P 波入射下产生散射波系,并将入射波和散射波的波函数在圆柱坐标下展开。然后,引入边界条件,求出散射波函数的待定系数,从而,得到饱和土半空间中圆柱形孔洞对平面P波的散射问题的解析解。根据所得的波函数的解,可求解区域内的位移、应力的值,同时,分析了入射波频率、入射角对柱面上的应力集中因子的影响。 相似文献
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《岩土力学》2017,(Z1):36-42
考虑底板岩体分层特性,将采场底板视为弹性层状半无限平面体,采用传递矩阵法建立层状底板的应力计算模型。用Matlab编制了相应的计算程序,求解得到不同分层深度处的底板应力分布,根据Mohr-Coulomb准则判断底板塑性区分布。新建模型考虑了不同底板岩性及其组合条件,理论计算得到的底板破坏深度比传统方法更符合实际,建立不同的软硬互层采场底板模型,分析了岩体的软硬性质对采场底板应力分布和破坏特征的影响。研究结果表明,硬岩底板对支承压力具有降低和扩散作用,降低作用减小了底板深处应力,有效地抑制了采场底板破坏深度;扩散作用加大了下卧岩层的应力影响范围,导致下卧岩层破坏范围增加,软岩底板由于其承载能力弱,会加剧底板应力的集中程度,导致底板岩层的破坏深度和范围都大大增加。 相似文献
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用双曲线切线模量方程计算地基非线性沉降 总被引：10，自引：1，他引：9
提出了一种利用原位试验成果求解非均质非线弹性地基最终沉降的新方法。对分层原状土载荷试验或螺旋板试验成果进行双曲线拟合,建立分层原状土切线模量与竖向附加应力的关系方程;在沉降计算公式中引入附加应力修正系数,以考虑基础埋深、地基非均质非线性特征等因素对应力分布的影响;利用双曲线切线模量方程及附加应力弹性解,可准确求解地基的总沉降。通过对几个压板载荷试验成果的拟合分析,得出了各土类的双曲线切线模量方程,用于求解地基在各级荷载下的沉降。计算结果表明,计算值与实测值吻合得很好。该方法原理简单、参数可靠、结果准确,为地基沉降计算开辟了一条新途径。 相似文献
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Complex variable analysis for stress distribution of an underwater tunnel in an elastic half plane 
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下载免费PDF全文 When an underwater tunnel is excavated, the groundwater may flow into the tunnel. The seepage forces consequently induced can have important effects on the effective stresses around the tunnel. Moreover, the influences of the free surface of a shallow underwater tunnel should also be considered. In this research, an analytical solution is presented to calculate the seepage‐induced effective stresses around a shallow underwater tunnel in an elastic half plane. The solution uses the complex variable method and consists of conformally mapping the half plane with a hole onto a transformed circular ring. The coefficients of the various terms in the Laurent series expansions of the stress functions in the transformed region can be obtained from the boundary conditions. The total stress distribution around a shallow underwater tunnel can be calculated by the potentials in the half plane. The effective stress can be obtained by subtracting the pore pressure from the total stress. The analytical solution is validated by numerical simulations and can be used to perform both the short‐term and long‐term analyses. By using the proposed solution, it is found that the circumferential effective stresses around the tunnel increase greatly because of seepage, and they increase with the increase of water depth in both the undrained and drained conditions. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
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In this paper, a single-region boundary element method (BEM) is presented for the analysis of transversely isotropic bi-material halfspaces with arbitrarily inclined planes of isotropy and material interfaces. The proposed BEM uses the fundamental solution of a transversely isotropic bi-material fullspace and five boundary element techniques. Infinite boundary elements are introduced to consider the far-fields of a transversely isotropic bi-material halfspace. The effective integration methods are proposed for dealing with various integrals in the discretized boundary integral equation. The stresses at internal points are obtained using the coordinate transformation of kernel functions, and the stresses on the boundary surface are calculated using an improved traction recovered method. Numerical verifications of displacements and stresses for a benchmark problem are conducted, and excellent agreement with previously published results is obtained. Numerical examples are presented to illustrate the influence of non-horizontal or horizontal planes of isotropy in bi-material halfspaces on the displacements and stresses induced by the tractions on the horizontal boundary surface. Results reveal that the elastic fields vary clearly with the dip angle of the isotropic plane and the stresses across the bi-material interface are closely related to the ratios of the elastic parameters of the bi-material. 相似文献
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Mixed unsplit-field perfectly matched layers for transient simulations of scalar waves in heterogeneous domains 总被引：1，自引：0，他引：1
We discuss a new formulation for transient scalar wave simulations in heterogeneous semi-infinite domains. To deal with the
semi-infinite extent of the physical domains, we introduce truncation boundaries and adopt perfectly matched layers (PMLs)
as the boundary wave absorbers. Within this framework, we develop a new mixed displacement-stress (or stress memory) finite
element formulation based on unsplit-field PMLs. We use, as typically done, complex-coordinate stretching transformations
in the frequency domain, and recover the governing partial differential equations in the time-domain through the inverse Fourier
transform. Upon spatial discretization, the resulting equations lead to a mixed semi-discrete form, where both displacements
and stresses (or stress histories/memories) are treated as independent unknowns. We propose approximant pairs, which, numerically,
are shown to be stable. The resulting mixed finite element scheme is relatively simple and straightforward to implement, when
compared against split-field PML techniques. It also bypasses the need for complicated time integration schemes that arise
when recent displacement-based formulations are used. We report numerical results for 1D and 2D scalar wave propagation in
semi-infinite domains truncated by PMLs. We also conduct parametric studies and report on the effect the various PML parameter
choices have on the simulation error. 相似文献
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Yu. L. Rebetskii 《Doklady Earth Sciences》2011,440(1):1328-1333
The set of equations for the problem of thermal-gravitational convection accounts for compressibility of solid bodies, which
changes for elementary volumes moving during convection process in fields of the initial temperature and the initial gravitational
stress pattern for rheology of an elastic-viscous Maxwell body. It was shown that equations of momentum conservation in the
vertical direction and heat transfer for steady convection differ from the equation for incompressible liquid by terms containing
the rate of elastic volume change and the connected rate of heat change. It was established that an additional term in the
momentum conservation equation defines a new class of the instable state of a solid body, which is able to form huge deformations
at the expense of plasticity and creep at large segments of time—flow in the field of gravity force—instability of the gravitational
stress pattern of elastic-plastic body. Analysis of different boundary conditions for which this instability can be realized
in the form of convective cells showed that the convection rate is totally defined by reconstruction processes of vertical
stresses on horizontal boundaries close to the initial gravitation pattern. Alignment process of these stresses can be provided
not only by erosion and denudation processes occurring on the Earth’s surface, but also by processes on the inner boundaries
of the tectonosphere which provide isostasy in the mantle. 相似文献
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An analytical solution is presented for a buoyant tunnel in an elastic half‐plane. The tunnel undergoes a prescribed displacement along its boundary, and the surface of the half‐plane is stress‐free. The solution uses the complex variable method and consists of conformally mapping the hole and half‐plane to an annular region. The complex potentials each contain two logarithmic terms due to the resultant buoyancy force acting on the tunnel, and as a result the displacements at infinity are unbounded. An example is presented for the case of a rigid buoyant tunnel in a half‐plane with gravity loading. Even though the tunnel does not deform, the buoyancy effect can be clearly seen in the contours of the displacements and stresses. Copyright © 2002 John Wiley & Sons, Ltd. 相似文献
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基于复变函数方法的水下隧道围岩弹性分析 总被引：1，自引：0，他引：1
水下隧道属于浅埋隧道,故其围岩的应力位移分析从力学角度可简化为含圆孔半平面弹性体在水平边界上受任意分布荷载的问题。与深埋隧道不同,浅埋隧道围岩分析在数学处理上历来存在较大的困难。借助Verruijt提供的共形映射函数,把含圆孔半无限平面映射为圆环域,然后将像平面上的解析函数展成Laurent级数,利用Muskhelishvili 的复变函数解法,求得问题的应力场和位移场,最后用Fortran语言编写了计算程序。利用该程序给出一个水下隧道算例的围岩应力、位移结果,并分析了其受力变形特点。 相似文献