The finite element implementation, validation and verification of a plane stress yield criterion for use in sheet metal forming analysis

Kilpatrick, W.; Leacock, Alan G.

doi:10.1016/j.ijmecsci.2015.06.007

Cited by 8 publications

(4 citation statements)

References 26 publications

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“…The elastic modulus matric

C_{e}

is expressed in Equation (). [ 34,35 ]

C_{e} = [\begin{matrix} \frac{E false(1 - υ false)}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & 0 & 0 & 0 \\ \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E false(1 - υ false)}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & 0 & 0 & 0 \\ \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E false(1 - υ false)}{false(1 + υ false) false(1 - 2 υ false)} & 0 & 0 & 0 \\ 0 & 0 & 0 & \frac{E}{2 false(1 + υ false)} & 0 & 0 \\ 0 & 0 & 0 & 0 & \frac{E}{2 false(1 + υ false)} & 0 \\ 0 & 0 & 0 & 0 & 0 & \frac{E}{2 false(} \end{matrix}

…”

Section: Constitutive Modelingunclassified

See 1 more Smart Citation

A Strain Rate‐Dependent Constitutive Model for Asymmetric Hardening Behavior of TB9 Titanium Alloy

Jin

Qiu

et al. 2022

Adv Eng Mater

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The TB9 titanium alloy is one of the most promising materials for engineering application due to high strength, high toughness, and corrosion resistance. Constitutive modeling is an important issue for investigating the materials properties and mechanical behaviors of TB9 titanium alloys using the numerical simulation method. This article presents a pressure‐dependent elastoplastic asymmetric constitutive model that has a high capability of describing the deformation behavior of TB9 titanium alloy. The strain rate sensitivity model of strength differential coefficient evolution is proposed for an accurate simulation of the asymmetric yielding effect. Furthermore, an idea of yield surface plotted in the deviatoric stress space is presented for the decoupling of coupling effect of hydrostatic pressure and lode angle. The validity of this constitutive model is confirmed by comparing the compression stress–strain responses calculated using the proposed model with the experimental observations on TB9 titanium alloy.

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“…The elastic modulus matric

C_{e}

is expressed in Equation (). [ 34,35 ]

C_{e} = [\begin{matrix} \frac{E false(1 - υ false)}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & 0 & 0 & 0 \\ \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E false(1 - υ false)}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & 0 & 0 & 0 \\ \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E false(1 - υ false)}{false(1 + υ false) false(1 - 2 υ false)} & 0 & 0 & 0 \\ 0 & 0 & 0 & \frac{E}{2 false(1 + υ false)} & 0 & 0 \\ 0 & 0 & 0 & 0 & \frac{E}{2 false(1 + υ false)} & 0 \\ 0 & 0 & 0 & 0 & 0 & \frac{E}{2 false(} \end{matrix}

…”

Section: Constitutive Modelingunclassified

“…The elastic modulus matricC e is expressed in Equation ( 14). [34,35] where E and υ are elastic modulus and Poisson's ratio. According to the plastic potential theory, the plastic strain increment can be expressed as [36] dε…”

Section: Stress-strain Relationshipmentioning

confidence: 99%

A Strain Rate‐Dependent Constitutive Model for Asymmetric Hardening Behavior of TB9 Titanium Alloy

Jin

Qiu

et al. 2022

Adv Eng Mater

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“…Finite element analysis does not simulate the real formation of threads in the hole, but instead an equivalent pressure is used and results would follow a similar trend. Experimental validation, in turn, is a critical part to validate the finite element analysis result [38]- [40]. In this section, driving screw test is performed to validate the numerical results of the recommended lens holder structural design.…”

Section: Experimental Validationmentioning

confidence: 99%

Investigation on the Material Failure in a Small Scale Automotive Camera Module via Root Cause Analysis and Experimental Validation

2019

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Automotive camera modules are critical components for vision, detection, and recognition in an advanced driver assistance system. They usually consist of housing, a lens, a lens holder, a harness, seals, and printed circuit boards, which are assembled through screws, adhesive, and connectors. Due to a small and complex geometry of the components, the component material failure is a critical issue. In this paper, the lens holder material failure is investigated using the root cause analysis and experimental validation. First, a fishbone diagram model is created to analyze the potential causes and an action checklist is employed to identify the root cause. Second, the structure of the lens holder is optimized according to the finite-element analysis result. The numerical results show that the strength of the optimized lens holder is improved by nearly 35%. Finally, the torque test is carried out to validate the optimized structure experimentally. The presented analysis and validation procedure can be used to solve material failure issues for small-scale automotive components effectively. INDEX TERMS Material failure, root cause analysis, fishbone diagram, experimental validation, automotive component.

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“…The increasing use of high-strength steels in sheet metal parts, however, brings about the formability and shape distortion problems that can not be easily solved, compared to stamping processes involved with conventional, highly formable steel grades. Today, finite element (FE) simulations are generally used for determination of the process parameters and for modelling material behaviour [1][2][3][4][5][6]. The process design approaches, based on FE simulation techniques, have experienced similar difficulties with high-strength steel applications and their effectiveness has been questioned, in particular for springback predictions [7,8].…”

Section: Introductionmentioning

confidence: 99%

Determining Springback Behavior of High-Strength Steels via Channel Forming Process

et al. 2017

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The increasing use of high-strength steels in sheet metal automotive parts usually brings about the springback problems that can not be easily solved, compared to stamping the parts of conventional steel grades. Prediction and compensation of springback at the design stage is very important from both, the academic and the industrial perspectives. For this purpose, finite element analysis and simulative tests are used to understand formability properties of the material. In this study, springback behaviour of high-strength steels was investigated. Angular channel forming process is used as a simulative test with the DP600, DP1000, and DP1400 materials. Channel forming die tools were designed using a shallowly curved geometry for investigating springback behaviour of materials. Die tools were manufactured and forming process was performed at a hydraulic press machine. Sample surfaces were scanned using optical scanning. Then, experimental springback surfaces were compared with reference geometry by shape deviation analysis. It is observed that springback amount of DP1400 is much greater than those of DP600 and DP800 steels. The DP600 steel has minimum springback amount in the flange region and it has shown the smallest deviation from the reference forming surface, as a result of shape deviation analysis.

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The finite element implementation, validation and verification of a plane stress yield criterion for use in sheet metal forming analysis

Cited by 8 publications

References 26 publications

A Strain Rate‐Dependent Constitutive Model for Asymmetric Hardening Behavior of TB9 Titanium Alloy

A Strain Rate‐Dependent Constitutive Model for Asymmetric Hardening Behavior of TB9 Titanium Alloy

Investigation on the Material Failure in a Small Scale Automotive Camera Module via Root Cause Analysis and Experimental Validation

Determining Springback Behavior of High-Strength Steels via Channel Forming Process

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