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Finite difference based stress integration algorithm for crystal plasticity finite element method 基于有限差分的晶体塑性有限元法应力积分算法
IF 2.4 3区 材料科学 Q2 ENGINEERING, MANUFACTURING Pub Date : 2024-01-04 DOI: 10.1007/s12289-023-01806-8
Donghwan Noh, Jeong Whan Yoon

In this study, we present a Finite Difference Method (FDM)-based stress integration algorithm for Crystal Plasticity Finite Element Method (CPFEM). It addresses the complexity of computing the first derivative of resolved shear stress in the Euler backward stress integration algorithm with Newton-Raphson method. The proposed FDM-based model was verified by evaluating its accuracy, convergence and computational efficiency through single-element simulations. The developed FDM-based model can be easily applied to various constitutive models for CPFEM, overcoming the problem of deriving complex derivative regardless of constitutive models. Additionally, the proposed FDM-based model was validated with the reduced texture approach using AA 2090-T3. Specific parameters including crystallographic orientations were calibrated and the plastic anisotropy was successfully described. In addition, the earing profiles were compared using various stress integration methods. As a result, the proposed FDM-based model can be used as an alternative to the Euler backward method using analytic derivatives with the compatible accuracy, convergence, computational efficiency along with easy implementation within the CPFEM framework.

在本研究中,我们提出了一种基于有限差分法(FDM)的晶体塑性有限元法(CPFEM)应力积分算法。它解决了欧拉后向应力积分算法中使用牛顿-拉夫逊法计算解析剪应力一阶导数的复杂性问题。通过单元素模拟,对所提出的基于 FDM 的模型的精度、收敛性和计算效率进行了评估验证。所开发的基于 FDM 的模型可轻松应用于 CPFEM 的各种构成模型,克服了不考虑构成模型而推导复杂导数的问题。此外,还利用 AA 2090-T3 的还原纹理方法对所提出的基于 FDM 的模型进行了验证。对包括晶体取向在内的特定参数进行了校准,并成功描述了塑性各向异性。此外,还使用各种应力整合方法对耳廓进行了比较。结果表明,所提出的基于 FDM 的模型可用作使用解析导数的欧拉后退法的替代方法,其精度、收敛性、计算效率与 CPFEM 框架内的实现方法相匹配。
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引用次数: 0
Development of a plane strain tensile test to characterize the formability of 5xxx and 6xxx aluminium alloys 开发平面应变拉伸试验,鉴定 5xxx 和 6xxx 铝合金的可成形性
IF 2.4 3区 材料科学 Q2 ENGINEERING, MANUFACTURING Pub Date : 2024-01-02 DOI: 10.1007/s12289-023-01805-9
Maryse Gille, Fanny Mas, Jean-Christophe Ehrström, Dominique Daniel

This article presents the development of a plane strain tensile test aiming at an easy classification of aluminium automotive alloys according to their formability in prototyping steps. A parametric study with finite element method is performed on three different designs inspired by literature. It is found that, due to plastic anisotropy, specimens designed for steel are not suited for aluminium alloys. One optimized specimen geometry, ensuring near plane strain state on a large zone all along the deformation range up to failure, is selected. On this geometry, tensile tests instrumented by Digital Image Correlation are performed for five different aluminium alloys (5xxx and 6xxx) in three different directions of the metal sheet (rolling, diagonal and transverse). From Digital Image Correlation analysis, necking limits are evaluated and their relevance for the ranking of alloys according to their formability is discussed in comparison with a standard formability test, namely the Limiting Dome Height test.

Graphical Abstract

摘要 本文介绍了平面应变拉伸试验的开发情况,目的是根据铝汽车合金在原型制造步骤中的成型性对其进行简单分类。受文献启发,采用有限元法对三种不同的设计进行了参数研究。研究发现,由于塑性各向异性,为钢材设计的试样并不适合铝合金。我们选择了一种优化的试样几何形状,它能确保试样在整个变形范围内接近平面应变状态,直至失效。在这种几何形状上,用数字图像相关仪对五种不同的铝合金(5xxx 和 6xxx)在金属板的三个不同方向(滚动、对角和横向)进行了拉伸试验。通过数字图像相关性分析,对缩颈极限进行了评估,并将其与标准成形性测试(即极限圆顶高度测试)进行比较,讨论了根据合金的成形性对其进行排序的相关性。 图表摘要
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引用次数: 0
Identification of material parameters in low-data limit: application to gradient-enhanced continua 低数据极限下的材料参数识别:梯度增强连续体的应用
IF 2.4 3区 材料科学 Q2 ENGINEERING, MANUFACTURING Pub Date : 2024-01-02 DOI: 10.1007/s12289-023-01807-7
Duc-Vinh Nguyen, Mohamed Jebahi, Victor Champaney, Francisco Chinesta

Due to the growing trend towards miniaturization, small-scale manufacturing processes have become widely used in various engineering fields to manufacture miniaturized products. These processes generally exhibit complex size effects, making the behavior of materials highly dependent on their geometric dimensions. As a result, accurate understanding and modeling of such effects are crucial for optimizing manufacturing outcomes and achieving high-performance final products. To this end, advanced gradient-enhanced plasticity theories have emerged as powerful tools for capturing these complex phenomena, offering a level of accuracy significantly greater than that provided by classical plasticity approaches. However, these advanced theories often require the identification of a large number of material parameters, which poses a significant challenge due to limited experimental data at small scales and high computation costs. The present paper aims at evaluating and comparing the effectiveness of various optimization techniques, including evolutionary algorithm, response surface methodology and Bayesian optimization, in identifying the material parameter of a recent flexible gradient-enhanced plasticity model developed by the authors. The paper findings represent an attempt to bridge the gap between advanced material behavior theories and their practical industrial applications, by offering insights into efficient and reliable material parameter identification procedures.

由于微型化趋势日益明显,小型制造工艺已广泛应用于各个工程领域,以制造微型产品。这些工艺通常表现出复杂的尺寸效应,使材料的行为高度依赖于其几何尺寸。因此,准确理解和模拟这些效应对于优化制造结果和实现高性能最终产品至关重要。为此,先进的梯度增强塑性理论应运而生,成为捕捉这些复杂现象的有力工具,其精确度远远高于经典塑性方法。然而,这些先进的理论往往需要确定大量的材料参数,由于小尺度的实验数据有限和计算成本高昂,这构成了一个巨大的挑战。本文旨在评估和比较各种优化技术(包括进化算法、响应面方法和贝叶斯优化)在确定作者最新开发的柔性梯度增强塑性模型的材料参数方面的有效性。本文的研究结果为高效、可靠的材料参数识别程序提供了见解,是弥合先进材料行为理论与实际工业应用之间差距的一次尝试。
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引用次数: 0
Inline closed-loop control of bending angles with machine learning supported springback compensation 利用机器学习支持回弹补偿的内联闭环控制弯曲角
IF 2.4 3区 材料科学 Q2 ENGINEERING, MANUFACTURING Pub Date : 2023-12-13 DOI: 10.1007/s12289-023-01802-y
Dirk Alexander Molitor, Viktor Arne, Christian Kubik, Gabriel Noemark, Peter Groche

Closed-loop control of product properties is becoming increasingly important in forming technology research and enables users to counteract unavoidable uncertainties in semi-finished product properties and process environments. Therefore, closed-loop controlled forming processes are considered to have the potential to reduce tolerances on desired product properties, resulting in consistent qualities. The achievement of associated increases in robustness and reliability is linked to enormous requirements, which in particular include the inline recording of the product properties to be controlled and the subsequent adaptation of the process control through the targeted derivation of manipulated variables. The present paper uses the example of an air bending process to show how the bending angle can be controlled camera-based and how springback can be compensated within a stroke by recording force signals and subsequently predicting the loaded bending angle using machine learning algorithms. The results show that the combined application of camera-based control and machine learning assisted springback compensation leads to highly accurate bending angles, whereby the results strongly depend on the machine learning algorithms and associated data transformation processes used.

产品性能的闭环控制在成形技术研究中变得越来越重要,它使用户能够应对半成品性能和工艺环境中不可避免的不确定性。因此,闭环控制成形工艺被认为有可能减少所需的产品属性公差,从而获得一致的质量。要实现稳健性和可靠性的相关提高,需要满足大量要求,其中特别包括在线记录需要控制的产品属性,以及随后通过有针对性地推导操纵变量来调整工艺控制。本文以气动折弯工艺为例,展示了如何通过摄像头控制折弯角度,以及如何通过记录力信号并随后使用机器学习算法预测加载折弯角度来补偿冲程内的回弹。结果表明,结合应用基于摄像头的控制和机器学习辅助回弹补偿,可获得高度精确的弯曲角度,而结果在很大程度上取决于所使用的机器学习算法和相关数据转换过程。
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引用次数: 0
Predictive control for a single-blow cold upsetting using surrogate modeling for a digital twin 利用数字孪生模型的代理模型对单次冷镦进行预测控制
IF 2.4 3区 材料科学 Q2 ENGINEERING, MANUFACTURING Pub Date : 2023-12-04 DOI: 10.1007/s12289-023-01803-x
David Uribe, Cyrille Baudouin, Camille Durand, Régis Bigot

In the realm of forging processes, the challenge of real-time process control amid inherent variabilities is prominent. To tackle this challenge, this article introduces a Proper Orthogonal Decomposition (POD)-based surrogate model for a one-blow cold upsetting process in copper billets. This model effectively addresses the issue by accurately forecasting energy setpoints, billet geometry changes, and deformation fields following a single forging operation. It utilizes Bézier curves to parametrically capture billet geometries and employs POD for concise deformation field representation. With a substantial database of 36,000 entries from 60 predictive numerical simulations using FORGE® software, the surrogate model is trained using a multilayer perceptron artificial neural network (MLP ANN) featuring 300 neurons across 3 hidden layers using the Keras API within the TensorFlow framework in Python. Model validation against experimental and numerical data underscores its precision in predicting energy setpoints, geometry changes, and deformation fields. This advancement holds the potential for enhancing real-time process control and optimization, facilitating the development of a digital twin for the process.

在锻造过程领域中,在固有变异性的情况下进行实时过程控制是一个突出的挑战。为了解决这一问题,本文介绍了一种基于适当正交分解(POD)的代理模型,用于铜坯的一次冷镦过程。该模型通过准确预测单次锻造操作后的能量设定值、坯料几何形状变化和变形场,有效地解决了这一问题。它利用bsamizier曲线参数化地捕捉钢坯的几何形状,并采用POD进行简洁的变形场表示。使用FORGE®软件进行的60个预测数值模拟中有36,000个条目的大量数据库,代理模型使用多层感知器人工神经网络(MLP ANN)进行训练,该网络使用Python中的TensorFlow框架中的Keras API在3个隐藏层中具有300个神经元。针对实验和数值数据的模型验证强调了其在预测能量设定值,几何变化和变形场方面的精度。这一进步具有增强实时过程控制和优化的潜力,促进了过程数字孪生的发展。
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引用次数: 0
Rapid multi-material joining via flow drill screw process: experiment and FE analysis using the coupled Eulerian‒Lagrangian method 流钻螺杆快速多材料连接:欧拉-拉格朗日耦合法试验与有限元分析
IF 2.4 3区 材料科学 Q2 ENGINEERING, MANUFACTURING Pub Date : 2023-11-30 DOI: 10.1007/s12289-023-01800-0
Minki Kim, Sungho Kim, Namsu Park

This paper is concerned with experiments and finite element (FE) simulations using the coupled Eulerian‒Lagrangian (CEL) method for multi-material joining by the flow drill screw (FDS) process. The FDS joining experiments involved various combinations of aluminum alloys (Al6061-T6 2.0t and Al6063-T6 2.0t), and steel (SPRC45E 1.6t) sheets. During the FDS joining, thermocouples and a thermal imaging camera, FLIR, were used to measure the elevated temperature near the joint. Cross-sections of the multi-material joint specimens were prepared to check the joining quality and the deformed shape of the materials. To consider the complexity of the joining process and convergence issue of numerical simulation, the FE modeling approach for the FDS joining was constructed based on the CEL method using the ABAQUS/Explicit, considering the strain rate and thermal softening dependent strain hardening of each material. From the comparison of experimental and FE simulation results, the reliability of the FE modeling was validated, revealing the predictability of the deformed shape was 90% or more, especially in terms of the bushing length. Furthermore, it was confirmed that the proposed modeling approach can accurately describe the temperature history and peak values during rapid joining.

本文采用欧拉-拉格朗日(CEL)耦合方法对流动钻螺(FDS)多材料连接过程进行了实验和有限元模拟。FDS连接实验涉及铝合金(Al6061-T6 2.0t和Al6063-T6 2.0t)和钢(SPRC45E 1.6t)板材的各种组合。在FDS连接过程中,使用热电偶和热成像相机FLIR来测量接合处附近的升高温度。制作了多材料接头试件的截面,以检验接头质量和材料的变形形状。考虑到连接过程的复杂性和数值模拟的收敛性问题,基于CEL方法,利用ABAQUS/Explicit,考虑每种材料的应变速率和热软化相关应变硬化,构建了FDS连接的有限元建模方法。通过实验和有限元仿真结果的对比,验证了有限元建模的可靠性,表明变形形状的可预测性达到90%以上,特别是在衬套长度方面。验证了所提出的建模方法能够准确地描述快速连接过程中的温度历史和峰值。
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引用次数: 0
High-reduction radial shear rolling of aluminum alloy bars using custom-calibrated rolls 使用定制校准的轧辊对铝合金棒材进行高减径径向剪切轧制
IF 2.4 3区 材料科学 Q2 ENGINEERING, MANUFACTURING Pub Date : 2023-11-28 DOI: 10.1007/s12289-023-01801-z
Yu V. Gamin, S. P. Galkin, A. N. Koshmin, A. Mahmoud Alhaj Ali, X. D. Nguyen, I. S. ELDeeb

The article presents a novel technique for performing high reduction radial shear rolling (HRRSR) of aluminum alloy bars. For this purpose, rolls with a special calibration were developed, including a high reduction section and a roll feed angle of 20°. The proposed process was investigated using FEM simulation, first. The temperature, stress-strain state, and force parameters analysis showed that the proposed method can produce defect-free bars with a natural gradient microstructure. Afterward, the experimental alloy Al-3Ca-2La-1Mn (wt%), was processed by a single-pass HRRSR process, resulting in a bar with an elongation ratio of 5. High compression and shear strains provide severe deformation of the initial cast microstructure and form a uniform distribution of small eutectic inclusions of the Al4(Ca, La) phase in the aluminum matrix. The obtained results, indicate the possibility of severe deformation of aluminum alloys using the radial shear rolling method. The proposed method of deformation can be the basis for an effective technology for obtaining bulk, long-length bars from various aluminum alloys, with a high reduction in a single pass.

本文介绍了一种铝合金棒材高压下率径向剪切轧制新工艺。为此,开发了具有特殊校准的轧辊,包括高减速部分和轧辊进给角为20°。首先采用有限元模拟方法对该工艺进行了研究。温度、应力-应变状态和受力参数分析表明,该方法可以制备出具有自然梯度组织的无缺陷棒材。然后,对实验合金Al-3Ca-2La-1Mn (wt%)进行单道HRRSR处理,得到伸长率为5的棒材。高压缩应变和剪切应变使铸态组织发生严重变形,并在铝基体中形成均匀分布的Al4(Ca, La)相小共晶夹杂体。结果表明,径向剪切轧制法可以使铝合金发生严重变形。所提出的变形方法可以成为一种有效技术的基础,用于从各种铝合金中获得大块,长棒材,在单道次中具有高还原率。
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引用次数: 0
Polymer extrusion die design using a data-driven autoencoders technique 基于数据驱动的自编码器技术的聚合物挤出模具设计
IF 2.4 3区 材料科学 Q2 ENGINEERING, MANUFACTURING Pub Date : 2023-11-14 DOI: 10.1007/s12289-023-01796-7
Chady Ghnatios, Eloi Gravot, Victor Champaney, Nicolas Verdon, Nicolas Hascoët, Francisco Chinesta

Designing extrusion dies remains a tricky issue when considering polymers. In fact, polymers exhibit strong non-Newtonian rheology that manifest in noticeable viscoelastic behaviors as well as significant normal stress differences. As a consequence, when they are pushed through a die, an important die-swelling is observed, and consequently the final geometry of the extruded profile differs significantly from the one of the die. This behavior turns the die’s design into a difficult task, and its geometry must be defined in such a way that the extruded profile results in the targeted one. Numerical simulation was identified as a natural way for building and solving the inverse problem of defining the die, leading to the targeted extruded geometry. However, state-of-the-art rheological models reveal inaccuracies for the desired level of precision. In this paper, we propose a data-driven approach that, based on the accumulated experience on the extruded profiles for different dies, learns the relation enabling efficient die design.

当考虑聚合物时,设计挤出模具仍然是一个棘手的问题。事实上,聚合物表现出强烈的非牛顿流变性,表现为明显的粘弹性行为以及显著的正应力差异。因此,当它们被推过模具时,观察到一个重要的模具膨胀,因此挤压轮廓的最终几何形状与模具中的一个显着不同。这种行为将模具的设计变成一项艰巨的任务,其几何形状必须以这样一种方式定义,即挤压的轮廓结果在目标之一。数值模拟被认为是建立和解决定义模具逆问题的自然方法,从而导致目标挤压几何形状。然而,最先进的流变模型揭示了精度所需水平的不准确性。在本文中,我们提出了一种数据驱动的方法,该方法基于在不同模具的挤压型材上积累的经验,学习实现高效模具设计的关系。
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引用次数: 0
Experimental and numerical study of the closure of voids with different size and various locations in the three-dimensional cogging process 三维开槽过程中不同尺寸、不同位置孔洞闭合的实验与数值研究
IF 2.4 3区 材料科学 Q2 ENGINEERING, MANUFACTURING Pub Date : 2023-11-14 DOI: 10.1007/s12289-023-01798-5
Marcin Kukuryk

In this paper, a new forging system was developed and a new complex methodology was tested for the analysis of the closure of voids. The effective geometric shapes of anvils and optimal the forging parameters has been determined. A new cogging process provided a complete closure of voids, which was confirmed by experimental tests. The effect of the reduction ratio, original anvil shape, forging ratio and the location and size of introduced voids on the efficiency of void closure during the multi-transition cogging process was assessed. Moreover, the following were used for the evaluation of void closure: the hydrostatic stress around voids, stress triaxiality, effective strain around voids, and the critical reduction ratio. Numerical examinations were performed using the finite element method (FEM) for the three-dimensional forging process at elevated temperature. Computer simulations of the cogging process under investigation were carried out using a program DEFORM-3D, and selected simulation results were compared with experimental test results. Void reduction predictions obtained from the FEM analysis were in good agreement with the experimental findings. The test results are supplemented with the prediction of crack formation in the zone of existing voids and within the forging volume during the multi-transition cogging process.

本文开发了一种新的锻造系统,并测试了一种新的复杂方法来分析空隙的闭合性。确定了顶块的有效几何形状和最优锻造参数。一种新的开孔工艺提供了一个完全封闭的空隙,这是由实验测试证实。评估了多过渡齿槽成形过程中,压缩比、原始砧形、锻造比以及引入孔洞的位置和大小对孔洞闭合效率的影响。利用孔洞周围静水应力、应力三轴性、孔洞周围有效应变和临界折减比来评价孔洞闭合性。采用有限元方法对三维高温锻造过程进行了数值模拟。利用DEFORM-3D程序对所研究的齿槽过程进行了计算机模拟,并将选定的模拟结果与实验测试结果进行了比较。从有限元分析中得到的孔隙减少预测与实验结果很好地吻合。对试验结果进行了补充,并预测了在多过渡齿槽加工过程中存在孔洞区域和锻件内部裂纹的形成情况。
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引用次数: 0
Bending behavior of structured steel sheets with undercuts for interlocking with Al die-cast metal 与铝压铸金属联锁用带凹口的结构钢薄板的弯曲性能
IF 2.4 3区 材料科学 Q2 ENGINEERING, MANUFACTURING Pub Date : 2023-11-09 DOI: 10.1007/s12289-023-01797-6
Aron Ringel, Gerhard Hirt

Due to the current changes in mobility, lightweight design concepts continue to be of particular interest to the automotive industry. One form is the multi-material design, in which the advantageous properties of different materials are combined in one component. In this work, a component made of a steel sheet with stiffening structures of cast aluminum is considered. The joint is created by channel structures with undercuts on the surface of the steel sheet, into which the molten aluminum can flow. After solidification, an interlocking connection is created. The aim of this work is to investigate the influence of a bending operation on the surface structure before the die casting process. Numerical simulations and experimental validations were performed with different bending angles and radii as well as orientations between the channel structure and the punch. The results show that the undercuts on the outer radius are reduced by up to 75% by the bending operation, thus weakening the resulting joint. On the inner radius, the channel opening width narrows by up to 73% and can thus impede the filling with the melt.

由于当前移动出行的变化,轻量化设计概念继续是特别感兴趣的汽车行业。一种形式是多材料设计,在这种设计中,不同材料的优点被组合在一个组件中。在这项工作中,考虑了一个由钢板与铸铝加强结构组成的部件。接头是由在钢板表面有凹口的沟道结构形成的,熔融铝可以流入其中。凝固后,形成一个联锁连接。本工作的目的是研究压铸过程前弯曲操作对表面结构的影响。数值模拟和实验验证了不同弯曲角度、半径和方向的通道结构与冲床。结果表明,弯曲操作使外半径上的凹痕减少了75%,从而削弱了接头。在内半径上,通道开口宽度缩小了73%,从而阻碍了熔体的填充。
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引用次数: 0
期刊
International Journal of Material Forming
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