On the forming limit diagram of perforated sheet metals under biaxial tension.

Iseki, Hideo; Murota, Tadao; Kato, Kazunori; Hayashi, Shohei

doi:10.1299/kikaia.55.994

Cited by 10 publications

(23 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…According to this criterion, the necking limit is reached when the product of external force and displacement rate reaches a maximum value. The effect of hole shape (circular, elliptical, square) on the formability limit has been particularly highlighted in Iseki et al (1989). It has been found from this study that perforated sheets with square holes have the best formability limit.…”

Section: Introductionmentioning

confidence: 75%

“…Furthermore, a wide range of strain paths (from uniaxial tension state to equibiaxial tension state) is covered when the FLD approach is used. The concept of forming limit diagrams has been first applied to perforated sheets in Iseki et al (1989). In this investigation, a diffuse necking criterion has been used to predict the onset of necking.…”

Section: Introductionmentioning

confidence: 99%

“…It has been found from this study that perforated sheets with square holes have the best formability limit. Iseki's formability criterion (Iseki et al, 1989) has been subsequently used by Chiba et al (2015) to predict the FLDs of perforated aluminum sheets with square holes. In this analysis, both phenomenological material models (based on Hill'48 and von Mises yield functions) and a crystal plasticity model have been used to describe the mechanical behavior of the dense matrix.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Numerical investigation of necking in perforated sheets using the periodic homogenization approach

Zhu

Bettaieb

Abed‐Meraim

2020

International Journal of Mechanical Sciences

View full text Add to dashboard Cite

Due to their attractive properties, perforated sheets are increasingly used in a number of industrial applications, such as automotive, architecture, pollution control, etc. Consequently, the accurate modeling of the mechanical behavior of this kind of sheets still remains a valuable goal to reach. This paper aims to contribute to this effort by developing reliable numerical tools capable of predicting the occurrence of necking in perforated sheets. These tools are based on the coupling between the periodic homogenization technique and three plastic instability criteria. The periodic homogenization technique is used to derive equivalent macroscopic mechanical behavior for a representative volume element of these sheets. On the other hand, the prediction of plastic instability is based on three necking criteria: the maximum force criterion (diffuse necking), the general bifurcation criterion (diffuse necking), and the loss of ellipticity criterion (localized necking). The predictions obtained by applying the three instability criteria are thoroughly analyzed and compared. A sensitivity study is also conducted to numerically investigate the influence on the prediction of necking of the design parameters (dimension, aspect-ratio, orientation, and shape of the holes), the macroscopic boundary conditions and the metal matrix material parameters (plastic anisotropy, hardening).

show abstract

Section: Introductionmentioning

confidence: 75%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical investigation of necking in perforated sheets using the periodic homogenization approach

Zhu

Bettaieb

Abed‐Meraim

2020

International Journal of Mechanical Sciences

View full text Add to dashboard Cite

show abstract

“…The FLCs numerically predicted based on the criterion proposed by Iseki et al 13 are shown in Figure 12, along with the experimental limit strains. In the numerical FLC analyses, the apparent strains were calculated using the following equations 14 are the lengths of OA# and OE# (Figure 2(b)) before and after deformation, respectively.…”

Section: Predicted Flcsmentioning

confidence: 98%

“…To numerically determine the forming limits, two different types of plastic instability criteria were employed, which were previously presented by other researchers. 13,14 The objectives of this study were (1) to investigate the effect of the hole arrangement pattern on the FLCs of perforated sheets with square holes, (2) to examine the validity of the two plastic instability criteria through a comparison of the experimentally obtained forminglimit strains and numerically predicted FLCs, and (3) to reveal the effects of the difference between the plasticity constitutive models on the FLCs.…”

Section: Introductionmentioning

confidence: 99%

Forming-limit prediction of perforated aluminium sheets with square holes

Chiba

Takeuchi

Nakamura

2015

The Journal of Strain Analysis for Engineering Design

View full text Add to dashboard Cite

The forming-limit strains of perforated aluminium alloy (AA5052-O) sheets with square holes were theoretically and experimentally estimated for two types of hole arrangements: square and triangular patterns. The theoretical forminglimit curves were obtained by finite-element analyses on a unit module of the perforated sheets using two different approaches: the phenomenological theory and crystal plasticity theory. Hill's quadratic anisotropic and von Mises yield functions were used for the phenomenological analysis, and the one-element-per-grain model was adopted for the crystal plasticity analysis. To determine the forming limits, two different types of plastic instability criteria were applied. The experimental forming-limit strains were also obtained through a Nakazima stretching test. The theoretical predictability of the forming-limit curves was assessed by comparing the theoretical and experimental results. The comparison demonstrated that (1) the plastic instability criterion based on the external force power predicted qualitatively the same forming-limit curves as the criterion based on the equivalent plastic strain of the ligament for both hole arrangement patterns and (2) although the shapes of the predicted forming-limit curves were in reasonable agreement with the experimental results, the level of the predicted limit strains was considerably higher than that of the experimental limit strains. Thus, it was found that neither of the plastic instability criteria previously proposed for perforated sheets is appropriate to characterise the formability of perforated aluminium sheets with square holes.

show abstract

Forming limit diagram of perforated sheet

Baik

Lee³

1995

Scripta Metallurgica et Materialia

View full text Add to dashboard Cite

On the forming limit diagram of perforated sheet metals under biaxial tension.

Cited by 10 publications

References 0 publications

Numerical investigation of necking in perforated sheets using the periodic homogenization approach

Numerical investigation of necking in perforated sheets using the periodic homogenization approach

Forming-limit prediction of perforated aluminium sheets with square holes

Forming limit diagram of perforated sheet

Contact Info

Product

Resources

About