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首页> 外文期刊>Acta Mechanica >A general framework for generating convex yield surfaces for anisotropic metals
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A general framework for generating convex yield surfaces for anisotropic metals

机译:生成各向异性金属的凸屈服面的一般框架

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The aim of this paper is to develop a general procedure to create yield surfaces (both isotropic and anisotropic) for elastic plastic metals with particular reference to sheet metal forming operations. Due to the fact that the forming limit of sheet metals requires a very accurate prediction of the yield limits and their normals, it is desirable to create yield functions that offer independent control of the yield points and the normal to the yield surface at a particular stress state without affecting its global convexity properties and the yield points at other states of stress. We achieve this by creating a class of yield surfaces that are obtained by the intersection of a number of elementary convex surfaces (such as planes and cylinders); the edges and corners that are a result of the intersection are smoothened by a L-p-norm smoothing technique to give rounded corners. The yield surfaces generated by this procedure are centrosymmetric in nature and are thus limited in their applicability. We show that many of the standard yield surfaces can be recast into this form. We obtain a new yield surface that fits the experiments obtained for the 6022-T4 aluminum alloy as reported by Barlat et al. [1]. The same yield surface is also used to Fit the results of the Taylor-Bishop-Hill polycrystal theory applied to a material with copper texture. The data were obtained from Choi et al. [2]. [References: 46]
机译:本文的目的是开发一种通用方法来创建弹性塑性金属的屈服面(各向同性和各向异性),尤其要参考钣金成形操作。由于钣金件的成形极限需要对屈服极限及其法线进行非常准确的预测,因此希望创建在特定应力下提供屈服点和屈服面法线独立控制的屈服函数不会影响其整体凸性和其他应力状态下的屈服点。我们通过创建一类屈服面来实现这一目标,该屈服面是通过多个基本凸面(例如平面和圆柱体)的相交而获得的;通过L-p-norm平滑技术对由于相交而产生的边缘和角进行平滑处理,以给出圆角。通过该方法产生的屈服面本质上是中心对称的,因此其适用性受到限制。我们表明,许多标准屈服面都可以重铸成这种形式。我们得到了一个新的屈服面,它适合于Barlat等人报道的6022-T4铝合金的实验。 [1]。相同的屈服面也可用于拟合适用于具有铜纹理的材料的Taylor-Bishop-Hill多晶理论的结果。数据来自Choi等。 [2]。 [参考:46]

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