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Computational modelling of steady crack extension in poroelastic media

机译:多孔弹性介质中稳态裂纹扩展的计算模型

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The steady state constant velocity crack extension in poroelastic media is examined for plane strain problems. The finite element formulation of the governing equations for steady crack extension in poroelastic media is developed using a Galerkin technique. The resulting system of non-symmetric coupled matrix equations depends on the propagation velocity at the crack tip. The computational scheme accounts for the stress singularity in the effective stress held at the crack tip. The numerical procedure is verified by comparison with analytical solutions for the pore pressure and displacement fields at the crack tip. The computational procedure is utilized to examine the plane strain problem related to the steady growth of a crack in a poroelastic medium due to its wedging by a rigid smooth indentor. It is shown that the computational methodology can also be applied to examine the penetration of an axisymmetric rigid smooth shell through a saturated geomaterial. (C) 1998 Elsevier Science Ltd. All rights reserved. [References: 31]
机译:研究了多孔弹性介质中稳态等速裂纹扩展的平面应变问题。使用Galerkin技术开发了多孔弹性介质中稳定裂纹扩展控制方程的有限元公式。所得的非对称耦合矩阵方程组取决于裂纹尖端处的传播速度。该计算方案考虑了裂纹尖端处保持的有效应力中的应力奇异性。通过与裂纹尖端的孔隙压力和位移场的解析解进行比较,验证了数值程序。该计算程序用于检查与由于刚性光滑压头楔入而导致的多孔弹性介质中裂纹稳定增长有关的平面应变问题。结果表明,该计算方法还可以用于检验轴对称刚性光滑壳体穿过饱和土工材料的穿透力。 (C)1998 Elsevier ScienceLtd。保留所有权利。 [参考:31]

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