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首页> 外文会议>Second Biot Conference on Poromechanics Aug 26-28, 2002 Grenoble, France >Lower and upper approaches of the yield criterion for porous materials
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Lower and upper approaches of the yield criterion for porous materials

机译：多孔材料屈服准则的上下方法

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The ductile failure of porous metallic materials is studied hen using the lower and upper bound methods of Limit Analysis (LA), a problem treated by Gurson with his famous kinematic approach in 1977. The present work is devoted to determining the strength of porous materials with long circular cylindrical cavities in the case of plane stress. The numerical methods developed here use the Hill-Mandel method based on the homogenization theory of heterogeneous media within the Limit Analysis framework. The use of kinematic and static approaches gave an excellent estimation of the yield criterion for all the cases studied. The existence of a corner of the yield surface on the hydrostatic axis is pointed out. This comer, not predicted by the standard Gurson model, disappears under generalized plane strain at the microscopic level. The numerical results then are compared with yield domain expressions proposed by different authors. The results show that the Richmond model was the most accurate in terms of our predictions.
机译：运用极限分析的上下限方法研究了多孔金属材料的延性失效，这是Gurson于1977年以其著名的运动学方法解决的一个问题。本研究致力于确定多孔金属材料的强度。平面应力情况下的长圆柱腔。这里开发的数值方法使用Hill-Mandel方法，该方法基于极限分析框架内异质介质的均质化理论。对于所有研究的情况，运动学和静态方法的使用都可以很好地估计屈服准则。指出了屈服面在静水压力轴上的角的存在。这个角，不是标准的Gurson模型所预测的，在广义平面应变下在微观水平上消失了。然后将数值结果与不同作者提出的产量域表达式进行比较。结果表明，就我们的预测而言，里士满模型是最准确的。

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