The inverse approach with simple triangular shell elements for large strain predictions of sheet metal forming parts

The inverse approach with simple triangular shell elements for large strain predictions of sheet metal forming parts
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DOI:
10.1108/02644409810236894
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发表时间:
1998-11
影响因子:
1.6
通讯作者:
J. Batoz;Y. Guo;F. Mercier
J. Batoz;Y. Guo;F. Mercier
中科院分区:
工程技术4区
文献类型:
--
作者:
J. Batoz;Y. Guo;F. Mercier

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自1987年以来,作者一直在不断开发一种有效的算法,用于估算薄板金属成型零件中出现的大弹塑性应变。该算法基于已知最终形状的有限元离散化。在本文中,利用离散的基尔霍夫约束条件,提出了一种新的具有恒定膜应变和弯曲应变的简单三角形壳单元。推导了内力矢量和沿厚度方向的对数应变的表达式。考虑了两个应用实例来讨论数值方法的有效性和效率。
An efficient algorithm to estimate the large elasto‐plastic strains encountered in thin sheet metal forming parts has been continuously developed by the authors since 1987. The algorithm is based on a finite element discretization of the known final shape. In this paper a new simple triangular shell element with constant membrane and bending strains is presented using discrete Kirchhoff constraints. The expressions of the internal force vector and logarithmic strains through the thickness are derived. Two applications are considered to discuss the validity and efficiency of the numerical procedure.