Fracture-based forming limit criteria for anisotropic materials in sheet metal forming

材料科学 成形极限图 断裂(地质) 各向异性 冯·米塞斯屈服准则 金属薄板 各向同性 平面应力 压力(语言学) 复合材料 机械 结构工程 有限元法 光学 物理 工程类 哲学 语言学
作者
Namsu Park,Hoon Huh,Sung Jun Lim,Yanshan Lou,Yeon Sik Kang,Min Hong Seo
出处
期刊:International Journal of Plasticity [Elsevier BV]
卷期号:96: 1-35 被引量:138
标识
DOI:10.1016/j.ijplas.2016.04.014
摘要

This paper is concerned with modeling of fracture-based forming limit criteria for anisotropic materials in sheet metal forming to predict the sudden fracture in complicated forming processes. The Lou–Huh ductile fracture criterion is modified using the Hill's 48 anisotropic yield function instead of the von Mises isotropic yield function to take account of the influence of anisotropy on the equivalent plastic strain at the onset of fracture. For the derivation of an anisotropic ductile fracture criterion, the principal stresses (σ1,σ2,σ3) are expressed in terms of the stress triaxiality, the Lode parameter, and the equivalent stress (ηH,LP,σ¯H) based on the Hill's 48 yield function. Three different kinds of fracture-based forming limit criteria are suggested and investigated with an assumption that the stress state is under the plane stress condition with proportional loading. To determine the parameters of the model proposed, the two-dimensional digital image correlation (2D-DIC) method is utilized to measure the strain histories on the surface of three different types of specimens during deformation and the measurement results are investigated to identify the anisotropy effect on the equivalent plastic strain at the onset of fracture. This paper also discusses about a scaling method for a strain-based fracture forming limit criterion in order to capture the onset of fracture using a single forming limit curve for an anisotropic material. From the comparison of various forming limit criteria suggested, it is concluded that a polar effective plastic strain-based (PEPS) fracture forming limit diagram (FFLD) is suitable for prediction of the sudden fracture in AHSS sheets in complicated sheet metal forming processes on the basis of its path independence and simplicity of measuring strains in real forming processes.
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