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2-D Localisation Analysis of Saturated Porous Media

机译:饱和多孔介质的二维定位分析

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摘要

Conditions for localisation of deformation into a planar shear band in the incremental response of elastic-plastic saturated porous media are studied in the case of small strains and rotations. The critical modulus for localisation of both undrained and drained conditions are given in terms of the discontinuous bifurcation analysis. Further loss of uniqueness of the response of the coupled problem is investigated by means of positiveness of the second order work density. As an example, the critical hardening moduli and shear band angle for localisation are derived for the case of generalised plasticity. Quantitative results are given for different sands, characterised by appropriate material parameters of the Pastor Zienkiewicz model.
机译:在应变和旋转较小的情况下,研究了在弹塑性饱和多孔介质的增量响应中将变形局部化为平面剪切带的条件。根据不连续分叉分析给出了不排水条件和排水条件的局域性的临界模量。通过二阶功密度的正性研究耦合问题的响应的唯一性的进一步损失。例如,在广义塑性的情况下,导出了用于局部化的临界硬化模量和剪切带角。通过使用Pastor Zienkiewicz模型的适当材料参数来表征不同沙子的定量结果。

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