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Tuning buckling behaviors in magnetically active structures: topology optimization and experimental validation 磁活性结构屈曲行为的调谐:拓扑优化和实验验证
IF 2.6 4区 工程技术 Q2 Engineering Pub Date : 2023-05-16 DOI: 10.1115/1.4062536
Zhi Zhao, Chao Wang, X. Zhang
Buckling, a phenomenon historically considered undesirable, has recently been harnessed to enable innovative functionalities in materials and structures. While approaches to achieve specific buckling behaviors are widely studied, tuning these behaviors in fabricated structures without altering their geometry remains a major challenge. Here, we introduce an inverse design approach to tune buckling behavior in magnetically active structures through the variation of applied magnetic stimuli. Our proposed magneto-mechanical topology optimization formulation not only generates the geometry and magnetization distribution of these structures, but also informs how the external magnetic fields should be applied to control their buckling behaviors. Utilizing the proposed strategy, we discover magnetically active structures showcasing a broad spectrum of tunable buckling mechanisms, including programmable peak forces and buckling displacements, as well as controllable mechano- and magneto-induced bi-stability. Furthermore, we experimentally demonstrate that multiple unit designs can be assembled into architectures, resulting in tunable multi-stability and programmable buckling sequences under distinct applied magnetic fields. Employing a hybrid fabrication method, we manufacture and experimentally validate the generated designs and architectures, confirming their ability to exhibit precisely programmed and tunable buckling behaviors. This research contributes to the advancement of multifunctional materials and structures that harness buckling phenomena, unlocking transformative potential for various applications, including robotics, energy harvesting, and deployable & reconfigurable devices.
屈曲,一种历史上被认为是不受欢迎的现象,最近被用来实现材料和结构的创新功能。虽然实现特定屈曲行为的方法得到了广泛的研究,但在不改变预制结构几何形状的情况下调整这些行为仍然是一个主要挑战。在这里,我们介绍了一种逆设计方法,通过改变外加磁刺激来调整磁活性结构的屈曲行为。我们提出的磁力学拓扑优化公式不仅生成了这些结构的几何形状和磁化分布,而且还告诉我们应该如何施加外部磁场来控制它们的屈曲行为。利用提出的策略,我们发现磁活性结构具有广泛的可调屈曲机制,包括可编程的峰值力和屈曲位移,以及可控的机械和磁致双稳定性。此外,我们通过实验证明,多个单元设计可以组装成结构,从而在不同的外加磁场下产生可调谐的多稳定性和可编程的屈曲序列。采用混合制造方法,我们制造并实验验证了生成的设计和结构,确认了它们具有精确编程和可调屈曲行为的能力。这项研究有助于利用屈曲现象的多功能材料和结构的进步,释放各种应用的变革潜力,包括机器人,能量收集和可部署和可重构设备。
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引用次数: 1
Two simple numerical implementation methods for damage coupled viscoplastic constitutive model 损伤耦合粘塑性本构模型的两种简单数值实现方法
IF 2.6 4区 工程技术 Q2 Engineering Pub Date : 2023-05-16 DOI: 10.1115/1.4062534
Wang YuanLiang, Liao YanQing, Peng Jiahui, N. yongzhong, Hong Xu
This paper is concerned with the two simple numerical implementation methods for a damage-coupled Chaboche-type viscoplastic constitutive model. By considering the damage variable as a constant in each incremental step, the return-mapping procedure is reduced to the solution of only one nonlinear scalar equation. Depending on the use of damage value in the current or prior incremental state, the two methods are named the backward difference implicit integration scheme and the two-step explicit integration scheme respectively. These two numerical algorithms are implemented into the ANSYS software by developing the USERMAT subroutine and verified by comparing them with available experimental data. Several numerical examples on the Gauss point level are studied in terms of stability, accuracy, computational efficiency, and applicability for further numerical observation. In addition to higher computational efficiency and lower memory requirements, the two methods can be easily extended to other damage models due to their simplicity.
本文研究了损伤耦合chaboche型粘塑性本构模型的两种简单数值实现方法。通过将损伤变量作为每一步增量的常数,将回归映射过程简化为一个非线性标量方程的求解。根据所使用的损伤值在当前或先前增量状态,这两种方法分别被命名为后向差分隐式积分方案和两步显式积分方案。通过开发USERMAT子程序在ANSYS软件中实现了这两种数值算法,并与已有的实验数据进行了对比验证。本文从稳定性、精度、计算效率以及对进一步数值观测的适用性等方面对高斯点水平上的几个数值算例进行了研究。这两种方法不仅计算效率高,对内存的要求低,而且由于其简单,可以很容易地扩展到其他损伤模型中。
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引用次数: 0
Peeling of Finite-Length Plates From an Elastomeric Foundation: A 1-D Cylindrical Bending Solution 弹性地基上有限长度板的剥离:一维圆柱弯曲解
IF 2.6 4区 工程技术 Q2 Engineering Pub Date : 2023-05-05 DOI: 10.1115/1.4062493
R. Plaut, D. Dillard
Quasi-static peeling of a finite-length, flexible, horizontal, one-dimensional (1-D) plate (strip, thin film) from a horizontal, thin, elastomeric layer (foundation) is considered. The displaced end of the plate is subjected to an upward deflection or to a rotation. The top of the interlayer is perfectly bonded to the plate, and its lower surface is bonded to a rigid, flat substrate. A transversality (debonding) condition is derived for peeling, based on the common fracture mechanics approach. Whereas debonding from a Winkler foundation can be expressed in terms of the displacement (or equivalently the foundation stress ) at the bond termination, the sixth-order formulation involves a more complex debonding criterion. Transversality relationships are used to describe this limit state (here the onset of debonding) in terms of co-state variables, herein the deflection and slope at the peel front. In the analysis, bending is assumed to be paramount, linear Kirchhoff-Love (classical) plate theory is used to model the deformation, and therefore displacements are assumed to be small. The foundation is linearly elastic and incompressible. The effects of the work of adhesion, the length of the plate, and the initial nonbonded length of the plate are investigated. The results are compared to those for a Winkler foundation. By replacing the shear modulus of the interlayer by viscosity, and displacements by their time derivatives, the results are expected to apply to viscous liquid interlayers as well.
考虑了有限长度的柔性水平一维(1-D)板(带、薄膜)从水平薄弹性体层(基础)上的准静态剥离。板的位移端受到向上偏转或旋转。中间层的顶部与板完美结合,其下表面与刚性平坦基板结合。基于常见的断裂力学方法,推导了剥离的横向(脱粘)条件。虽然Winkler地基的脱胶可以用粘结终止时的位移(或等效的地基应力)来表示,但六阶公式涉及更复杂的脱胶标准。横截面关系用于根据共态变量来描述这种极限状态(这里是脱粘的开始),这里是剥离前沿的偏转和斜率。在分析中,弯曲被认为是最重要的,线性Kirchhoff-Love(经典)板理论被用来模拟变形,因此位移被认为是小的。地基具有线性弹性且不可压缩。研究了粘附功、板的长度和板的初始非粘结长度的影响。将结果与Winkler基金会的结果进行了比较。通过用粘度代替夹层的剪切模量,用它们的时间导数代替位移,预计结果也适用于粘性液体夹层。
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引用次数: 0
Shear Wave-induced Friction at Periodic Interfaces for Programmable Mechanical Responses 可编程机械响应的周期界面剪切波引起的摩擦力
IF 2.6 4区 工程技术 Q2 Engineering Pub Date : 2023-05-05 DOI: 10.1115/1.4062494
Ganesh U. Patil, A. Fantetti, K. Matlack
Nonlinear phononic materials enable superior wave responses by combining nonlinearity with their inherent periodicity, creating opportunities for the development of novel acoustic devices. However, the field has largely focused on reversible nonlinearities, whereas the role of hysteretic nonlinearity remains unexplored. In this work, we investigate nonlinear shear wave responses arising from the hysteretic nonlinearity of frictional rough contacts, and harness these responses to enable programmable functions. Using a numerical approach, we solve the strongly nonlinear problem of shear wave propagation through a single contact and a periodic array of contacts, accounting for frictional effects. Specifically, the Jenkin friction model with experimentally-obtained properties is used to capture the effects of stick-slip transition at the contacts. Results show that friction gives rise to shear-polarized eigenstrains, which are residual static deformations within the system. We then demonstrate how eigenstrain generation in multiple contacts can enable programmable functionalities such as an acoustically-controlled mechanical switch, precision position control, and surface reconfigurability. Overall, our findings open new avenues for designing smart materials and devices with advanced functionalities via acoustic waves using the hysteretic nonlinearity of frictional contacts.
非线性声子材料通过将非线性与其固有的周期性相结合,实现了优越的波响应,为开发新型声学设备创造了机会。然而,该领域主要关注可逆非线性,而滞后非线性的作用仍未得到探索。在这项工作中,我们研究了由摩擦粗糙接触的滞后非线性引起的非线性剪切波响应,并利用这些响应实现可编程功能。使用数值方法,我们解决了剪切波通过单个接触和周期性接触阵列传播的强非线性问题,考虑了摩擦效应。具体而言,使用具有实验获得特性的Jenkin摩擦模型来捕捉接触处的粘滑过渡效应。结果表明,摩擦会产生剪切极化本征应变,这是系统内的残余静态变形。然后,我们展示了多个触点中的本征应变生成如何实现可编程功能,如声学控制的机械开关、精确位置控制和表面可重新配置。总的来说,我们的发现为利用摩擦接触的滞后非线性通过声波设计具有先进功能的智能材料和设备开辟了新的途径。
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引用次数: 0
Bioinspired Fiber Networks with Tunable Mechanical Properties by Additive Manufacturing 增材制造具有可调谐机械性能的仿生纤维网络
IF 2.6 4区 工程技术 Q2 Engineering Pub Date : 2023-05-03 DOI: 10.1115/1.4062451
M. Sarkar, J. Notbohm
Soft bioinspired fiber networks offer great potential in biomedical engineering and material design due to their adjustable mechanical behaviors. However, existing strategies to integrate modeling and manufacturing of bioinspired networks do not consider the intrinsic microstructural disorder of biopolymer networks, which limits the ability to tune their mechanical properties. To fill in this gap, we developed a method to generate computer models of aperiodic fiber networks mimicking type I collagen ready to be submitted for additive manufacturing. The models of fiber networks were created in a scripting language wherein key geometric features like connectivity, fiber length, and fiber cross section could be easily tuned to achieve desired mechanical behavior, namely pretension induced shear stiffening. The stiffening was first predicted using finite element software, and then a representative network was fabricated using a commercial 3D printer based on digital light processing technology using a soft resin. The stiffening response of the fabricated network was verified experimentally on a novel test device capable of testing the shear modulus of the specimen under varying levels of uniaxial pretension. The resulting data demonstrated clear pretension-induced stiffening in shear in the fabricated network, with uniaxial pretension of 40% resulting in a factor of 2.65 increase in the small strain shear modulus. The strategy described in this manuscript addresses the challenges in modeling bioinspired fiber networks and can be readily integrated with the advances in fabrication technology to fabricate materials truly replicating the mechanical response of biopolymer networks.
柔性仿生纤维网络由于其可调节的力学行为,在生物医学工程和材料设计中具有巨大的潜力。然而,现有的集成仿生网络建模和制造的策略没有考虑生物聚合物网络固有的微观结构紊乱,这限制了调节其机械性能的能力。为了填补这一空白,我们开发了一种方法来生成模拟I型胶原的非周期性纤维网络的计算机模型,准备提交用于增材制造。纤维网络的模型是用脚本语言创建的,其中连接、纤维长度和纤维横截面等关键几何特征可以很容易地进行调整,以实现所需的机械性能,即预张力诱导的剪切硬化。首先使用有限元软件预测硬化,然后使用基于数字光处理技术的商用3D打印机使用软树脂制造具有代表性的网络。在一种新型试验装置上对预制网络的刚度响应进行了实验验证,该装置能够在不同水平的单轴预张力下测试试样的剪切模量。所得数据表明,预制网络中明显的预张力引起的剪切硬化,40%的单轴预张力导致小应变剪切模量增加2.65倍。本文中描述的策略解决了生物启发纤维网络建模的挑战,并且可以很容易地与制造技术的进步相结合,以制造真正复制生物聚合物网络机械响应的材料。
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引用次数: 0
Theoretical Puncture Mechanics of Soft Compressible Solids 软可压缩固体的理论穿刺力学
IF 2.6 4区 工程技术 Q2 Engineering Pub Date : 2023-04-26 DOI: 10.1115/1.4062844
Stefano Fregonese, Z. Tong, Si-Yao Wang, M. Bacca
Accurate prediction of the force required to puncture a soft material is critical in many fields like medical technology, food processing, and manufacturing. However, such a prediction strongly depends on our understanding of the complex nonlinear behavior of the material subject to deep indentation and complex failure mechanisms. Only recently we developed theories capable of correlating puncture force with material properties and needle geometry. However, such models are based on simplifications that seldom limit their applicability to real cases. One common assumption is the incompressibility of the cut material, albeit no material is truly incompressible. In this paper we propose a simple model that accounts for linearly elastic compressibility, and its interplay with toughness, stiffness, and elastic strain-stiffening. Confirming previous theories and experiments, materials having high-toughness and low-modulus exhibit the highest puncture resistance at a given needle radius. Surprisingly, in these conditions, we observe that incompressible materials exhibit the lowest puncture resistance, where volumetric compressibility can create an additional (strain) energy barrier to puncture. Our model provides a valuable tool to assess the puncture resistance of soft compressible materials and suggests new design strategies for sharp needles and puncture-resistant materials.
准确预测刺穿柔软材料所需的力在医疗技术、食品加工和制造业等许多领域至关重要。然而,这样的预测很大程度上取决于我们对材料在深压痕和复杂破坏机制下的复杂非线性行为的理解。直到最近,我们才发展出能够将穿刺力与材料特性和针的几何形状联系起来的理论。然而,这些模型是基于简化的,很少限制它们对实际案例的适用性。一个常见的假设是切割材料的不可压缩性,尽管没有材料是真正不可压缩的。在本文中,我们提出了一个简单的模型来解释线弹性压缩性,以及它与韧性、刚度和弹性应变硬化的相互作用。证实先前的理论和实验,具有高韧性和低模量的材料在给定的针半径下表现出最高的穿刺阻力。令人惊讶的是,在这些条件下,我们观察到不可压缩材料表现出最低的穿刺阻力,其中体积可压缩性可以为穿刺创造额外的(应变)能量屏障。我们的模型为评估柔软可压缩材料的抗穿刺性提供了有价值的工具,并为尖锐针头和抗穿刺材料的设计提供了新的策略。
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引用次数: 1
An Entropy Dynamics Approach for Deriving and Applying Fractal and Fractional Order Viscoelasticity to Elastomers 弹性体分形和分数阶粘弹性的熵动力学推导和应用
IF 2.6 4区 工程技术 Q2 Engineering Pub Date : 2023-04-21 DOI: 10.1115/1.4062389
B. Pahari, Eugenia Stanisauskis, S. Mashayekhi, W. Oates
Entropy dynamics is a Bayesian inference methodology that can be used to quantify time-dependent posterior probability densities that guide development of complex material models using information theory. Here we expand its application to non-Gaussian processes to evaluate how fractal structure can influence fractional hyperelasticity and viscoelasticity in elastomers. We investigate how kinematic constraints on fractal polymer network deformation influences the form of hyperelastic constitutive behavior and viscoelasticity in soft materials such as dielectric elastomers which have applications in the development of adaptive structures. The modeling framework is validated on two dielectric elastomers, VHB 4910 and 4949, over a broad range of stretch rates. It is shown that local fractal time derivatives are equally effective at predicting viscoelasticity in these materials in comparison to non-local fractional time derivatives under constant stretch rates. We describe the origin of this accuracy which has implications for simulating larger scale problems such as finite element analysis given the differences in computational efficiency of non-local fractional derivatives versus local fractal derivatives.
熵动力学是一种贝叶斯推理方法,可用于量化与时间相关的后验概率密度,指导使用信息论开发复杂材料模型。在这里,我们将其应用于非高斯过程,以评估分形结构如何影响弹性体中的分数超弹性和粘弹性。我们研究了分形聚合物网络变形的运动学约束如何影响软材料(如电介质弹性体)中超弹性本构行为和粘弹性的形式,这些材料在自适应结构的开发中有应用。建模框架在两种介电弹性体VHB 4910和4949上进行了验证,拉伸速率范围很广。结果表明,在恒定拉伸速率下,与非局部分数时间导数相比,局部分形时间导数在预测这些材料的粘弹性方面同样有效。鉴于非局部分数导数与局部分形导数的计算效率不同,我们描述了这种精度的起源,这对模拟更大规模的问题(如有限元分析)具有启示意义。
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引用次数: 0
Automatedly Distilling Canonical Equations from Random State Data 从随机状态数据中自动提取正则方程
IF 2.6 4区 工程技术 Q2 Engineering Pub Date : 2023-04-18 DOI: 10.1115/1.4062329
Xiaoling Jin, Zhanchao Huang, Yong Wang, Zhilong Huang, I. Elishakoff
Canonical equations play a pivotal role in many sub-fields of physics and mathematics. For complex systems and systems without first principles, however, deriving canonical equations analytically is quite laborious or might even be impossible. This work is devoted to automatedly distilling the canonical equations only from random state data. The random state data are collected from stochastically excited, dissipative dynamical systems, experimentally or numerically, while other information, such as the system characterization itself and the excitations are not needed. The identification procedure comes down to a nested optimization problem, and the explicit expressions of the momentum (density) functions and energy (density) functions are identified simultaneously. Three representative examples are investigated to illustrate its high accuracy of identification, the small requirement on data amount, and high robustness to excitations and dissipation. The identification procedure servers as a filter, filtering out the non-conservative information while retaining the conservative information, which is especially suitable for systems with excitations not obtainable.
正则方程在物理学和数学的许多分支领域中起着举足轻重的作用。然而,对于复杂的系统和没有第一原理的系统,解析地推导标准方程是相当费力的,甚至可能是不可能的。这项工作致力于从随机状态数据中自动提取规范方程。随机状态数据收集随机激发,耗散动力系统,实验或数值,而其他信息,如系统特性本身和激励是不需要的。辨识过程可归结为一个嵌套优化问题,同时辨识动量(密度)函数和能量(密度)函数的显式表达式。通过三个典型的算例分析,说明了该方法识别精度高、对数据量要求小、对激励和耗散具有较强的鲁棒性。该辨识过程作为滤波器,在保留保守信息的同时过滤掉非保守信息,特别适用于无法获得激励的系统。
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引用次数: 0
Materials Informatics tools in the context of bio-inspired material mechanics 仿生材料力学背景下的材料信息学工具
IF 2.6 4区 工程技术 Q2 Engineering Pub Date : 2023-04-12 DOI: 10.1115/1.4062310
Rachel K. Luu, M. Buehler
The analysis and design of materials is often a slow process that may take weeks, months, or years. And, many current material platforms rely on expensive raw material sources and fail to achieve sustainability goals. Meanwhile, bio-inspired Materials Informatics – fueled by emerging techniques such as multiscale modeling, machine learning and autonomous experimentation – is transforming the way materials are understood, discovered, developed, and selected. The impact of these tools is particularly noteworthy since they can be used to develop materials with fewer resources and with greater societal impact. A field that would strongly benefit from the use of Materials Informatics tools is that of structural biological materials, where mechanical properties are crucial for biological and engineering properties for species survival such as fracture resistant armor against predators, elastic recovery for repeated loadings, or mechanical actuation capacity. Generations of researchers have studied biological materials for their fascinating structure-property relationships that make up their impressive properties, including mechanical resilience. Despite the accumulation of scientific knowledge, relatively little has been translated to generating engineered bio-inspired materials. Addressing this gap, emerging Materials Informatics tools can now be used to make use of legacy data, newly collected empirical observations, and predictive models to make significant advances in this field.
材料的分析和设计通常是一个缓慢的过程,可能需要数周、数月或数年的时间。而且,目前许多材料平台依赖昂贵的原材料来源,无法实现可持续发展目标。与此同时,受生物启发的材料信息学——由多尺度建模、机器学习和自主实验等新兴技术推动——正在改变理解、发现、开发和选择材料的方式。这些工具的影响尤其值得注意,因为它们可以用于开发资源较少、社会影响较大的材料。一个将从材料信息学工具的使用中受益匪浅的领域是结构生物材料,其中机械性能对物种生存的生物和工程性能至关重要,例如抵抗捕食者的断裂装甲、重复载荷的弹性恢复或机械驱动能力。一代又一代的研究人员研究了生物材料迷人的结构-性质关系,这些关系构成了它们令人印象深刻的特性,包括机械弹性。尽管积累了科学知识,但相对而言,很少有人将其转化为工程生物材料。为了解决这一差距,新兴的材料信息学工具现在可以用来利用遗留数据、新收集的经验观察和预测模型,在该领域取得重大进展。
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引用次数: 3
Architected Piezoelectric Metamaterial with Designable Full Nonzero Piezoelectric Coefficients 具有可设计全非零压电系数的结构压电超材料
IF 2.6 4区 工程技术 Q2 Engineering Pub Date : 2023-04-12 DOI: 10.1115/1.4062309
Bo Yu, Y. Lun, Zewei Hou, Jiawang Hong
Piezoelectric metamaterials have received extensive attention in fields of robotics, nondestructive testing, energy harvesting, etc. Natural piezoelectric ceramics possess only five nonzero piezoelectric coefficients due to the crystal symmetry of 8mm, which has limited the development of related devices. To obtain nonzero piezoelectric coefficients, previous studies mainly focus on assembling piezoelectric ceramic units or multiphase metamaterials. However, only part of the nonzero piezoelectric coefficients or locally piezoelectric electromechanical modes are achieved. Additionally, it still remains challenge for manipulating the piezoelectric coefficients in a wide range. In this work, full nonzero piezoelectric coefficients are obtained by symmetry breaking in architected piezoelectric metamaterial. The piezoelectric coefficients are designable over a wide range from positive to negative through manipulating the directions of the three-dimensional architected lattice. The architected metamaterials exhibit multiple positive/inverse piezoelectric modes, including normal, shear, and twist deformation in different directions. Finally, a smart gradient architected piezoelectric metamaterial is designed to take advantage of this feature, which can sense the position of the normal and shear force. This work paves the way for the control of piezoelectric metamaterial in a wide range with designable full nonzero piezoelectric coefficients, thereby enabling application potential in the fields of intelligent actuation and sensing.
压电材料在机器人、无损检测、能量收集等领域受到广泛关注。天然压电陶瓷由于晶体对称性为8mm,只有5个非零压电系数,限制了相关器件的发展。为了获得非零压电系数,以往的研究主要集中在组装压电陶瓷单元或多相超材料上。然而,只能实现部分非零压电系数或局部压电机电模态。此外,如何在大范围内控制压电系数仍然是一个挑战。本文通过对称破缺的方法获得了结构压电材料的全非零压电系数。通过操纵三维结构晶格的方向,压电系数可以在从正到负的广泛范围内设计。结构的超材料表现出多种正/逆压电模式,包括不同方向的法向、剪切和扭转变形。最后,利用这一特性设计了一种智能梯度结构的压电超材料,该材料可以感知法向力和剪力的位置。本研究为具有可设计的全非零压电系数的压电超材料在大范围内的控制铺平了道路,从而使其在智能驱动和传感领域具有应用潜力。
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引用次数: 0
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