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Inverse analysis for embedded fractures

机译:埋藏裂缝的反分析

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A coupled computational and experimental investigation was undertaken to assess the feasibility of a procedure for subsurface crack identification based on inspection and/or inversion of surface displacements. The study began with the linear problem of generating contour maps of the surface deformations produce by buried fractures of known geometry and loading. An indirect boundary element formulation using the fundamental solution for tensile and shear multipoles near a half-space provided an efficient mathematical representation of the 3-D fracture. These preliminary results offered evidence for the existence of unique correspondences between crack grometry (and loading) and the resulting uplift at the free surface. The inverse problem of crack identification was then addressed beginnign with the development of a hybrid of the Marquardt-Levenberg algorithm. Numerical and physical experiments were conducted to assess robustnes sof the proposed inversion methodology. The experimental medium was a cube of transparent brittle material in which a fracture was hydraulically pressurized. Displacements induced at the surface of the specimen were measured by laser interferometry and compared to numerical results.
机译:进行了计算和实验相结合的研究,以评估基于表面位移的检查和/或反演的地下裂缝识别程序的可行性。该研究始于线性问题,即生成由已知几何形状和载荷的埋藏裂缝产生的表面变形等值线图。间接边界元公式使用基本解求解半空间附近的拉伸和剪切多极杆,从而提供了有效的3D断裂数学表示。这些初步结果提供了证据,证明了裂纹研磨度(和载荷)与自由表面上的隆起之间存在独特的对应关系。然后,通过开发Marquardt-Levenberg算法的混合体来解决裂纹识别的反问题。进行了数值和物理实验,以评估所提出的反演方法的鲁棒性。实验介质是一堆透明的脆性材料,其中对裂缝进行了液压加压。通过激光干涉仪测量在样品表面上引起的位移,并将其与数值结果进行比较。

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