
今日更新:Journal of the Mechanics and Physics of Solids 1 篇,Mechanics of Materials 1 篇,International Journal of Plasticity 1 篇,Thin-Walled Structures 2 篇
Variational phase-field modeling of cohesive fracture with flexibly tunable strength surface
F. Vicentini, J. Heinzmann, P. Carrara, L. De Lorenzis
doi:10.1016/j.jmps.2025.106424
弹性可调强度面黏性断裂变分相场建模
Variational phase-field models of brittle fracture are powerful tools for studying Griffith-type crack propagation in complex scenarios. However, as approximations of Griffith’s theory—which does not incorporate a strength criterion—these models lack flexibility in prescribing material-specific strength surfaces. Consequently, they struggle to accurately capture crack nucleation under multiaxial stress conditions. In this paper, inspired by Alessi et al. (2014), we propose a variational phase-field model that approximates cohesive fracture. The model accommodates an arbitrary (convex) strength surface, independent of the regularization length scale, and allows for flexible tuning of the cohesive response. Our formulation results in sharp cohesive cracks and naturally enforces a sharp non-interpenetration condition, thereby eliminating the need for additional energy decomposition strategies. It inherently satisfies stress softening and produces ”crack-like” residual stresses by construction. To ensure strain hardening, the ratio of the regularization length to the material’s cohesive length must be sufficiently s mall; however, if crack nucleation is desired, this ratio must also be large enough to make the homogeneous damaged state unstable. We investigate the model in one and three dimensions, establishing first- and second-order stability results. The theoretical findings are validated through numerical simulations using the finite element method, employing standard discretization and solution techniques.
脆性断裂的变分相场模型是研究复杂情况下griffith型裂纹扩展的有力工具。然而,作为格里菲斯理论的近似值(不包含强度标准),这些模型在规定材料特定强度表面方面缺乏灵活性。因此,他们很难准确地捕捉多轴应力条件下的裂纹形核。在本文中,受Alessi et al.(2014)的启发,我们提出了一个近似于内聚断裂的变分相场模型。该模型可容纳任意(凸)强度表面,独立于正则化长度尺度,并允许灵活调整内聚响应。我们的配方产生尖锐的粘性裂缝,并自然地强制执行尖锐的非相互渗透条件,从而消除了对额外能量分解策略的需要。它本质上满足应力软化,并通过施工产生“裂纹状”残余应力。为保证应变硬化,正则化长度与材料内聚长度之比必须足够小;然而,如果想要裂纹成核,这个比率也必须足够大,以使均匀损伤状态不稳定。我们在一维和三维上研究了模型,建立了一阶和二阶稳定性结果。采用有限元方法,采用标准离散化和求解技术,通过数值模拟验证了理论结果。
Predictive performance of viscous potential functions for modeling strain rate sensitivity of soft materials
Stephen Melly, Aleksander Czekanski
doi:10.1016/j.mechmat.2025.105547
粘性势函数在软质材料应变率敏感性建模中的预测性能
Constitutive models are crucial for predicting and optimizing complex material systems via numerical techniques such as the finite element method. In addition to large nonlinear elastic deformation, strain rate sensitivity is an intrinsic mechanical characteristic of soft materials, including elastomers, hydrogels, and biological tissues. Accurate mathematical formulations describing these mechanical characteristics ensure time and cost efficiency, reliability, and improved design performance. Several modeling approaches have been proposed in the literature. The external state variable approach is advantageous thanks to its relative ease in numerical implementation and satisfaction of the principles of thermodynamics. This study presents the predictive capabilities of three different forms of viscous potential functions over five soft materials, including polyvinyl alcohol hydrogel, optically clear adhesive, elastomeric polyurethane, very high bond 4910, and styrene-ethylene-butylene-styrene gel. Accuracy of the predictions was quantified using the coefficient of determination and the normalized mean absolute difference. Results demonstrated that a recently proposed viscous potential function, named model 3 in this study, is relatively accurate and versatile in describing the rate-dependent behavior of soft materials. The results presented herein help researchers and design engineers to select the right models, provide insights into existing limitations, and guide the development of improved and more versatile models.
本构模型是通过有限元等数值技术预测和优化复杂材料系统的关键。除了大的非线性弹性变形外,应变率敏感性是软材料的固有力学特性,包括弹性体、水凝胶和生物组织。精确的数学公式描述这些机械特性,确保时间和成本效率,可靠性和改进的设计性能。文献中提出了几种建模方法。外部状态变量法的优点在于它相对容易数值实现,并且满足热力学原理。本研究展示了三种不同形式的粘性势函数在五种软材料上的预测能力,包括聚乙烯醇水凝胶、光学透明粘合剂、弹性体聚氨酯、高键4910和苯乙烯-乙烯-丁烯-苯乙烯凝胶。使用决定系数和标准化平均绝对差来量化预测的准确性。结果表明,最近提出的粘性势函数,在本研究中称为模型3,在描述软材料的速率依赖行为方面相对准确和通用。本文提出的结果有助于研究人员和设计工程师选择正确的模型,提供对现有限制的见解,并指导改进和更通用的模型的开发。
A new strategy for fabricating Mg-Al alloys with excellent strength-ductility synergy via pulse-coupled wire-arc directed energy deposition
Yukang An, Enyu Guo, Diyang Xia, Shuo Yin, Zhirou Zhang, Wuyue Zheng, Zongning Chen, Huijun Kang, Tongmin Wang
doi:10.1016/j.ijplas.2025.104550
脉冲耦合线弧定向能沉积制备具有优异强度-延展性协同效应的Mg-Al合金的新策略
Wire-arc directed energy deposition (W-DED) is a cost-effective additive manufacturing technology increasingly applied to the fabrication of magnesium alloy components. However, AZ-series magnesium alloys fabricated by conventional DED suffer from inadequate properties and premature failure due to stress concentration caused by coarse structure and high fraction of porosity. In this work, a high-energy pulsed arc is introduced into the W-DED of AZ31B alloy, and its effects on porosity, microstructure, mechanical properties, and deformation damage behavior are comprehensively investigated. The pulsed-coupled DED (CMT+P) process significantly enhances component densification while refining grains and precipitates by intensifying solidification dynamics and modifying solute redistribution. The AZ31B alloy fabricated by CMT+P process exhibits a superior strength-ductility synergy, with ultimate tensile strength of 262 ± 1.5 MPa along BD and 267 ± 2 MPa along TD accompanied by a total elongation of 24.7 ± 1.8 % and 25.4 ± 1.5 %, respectively. In-situ synchrotron tomography from a novel “primary damage band (PDB)” perspective reveals the competitive relationship between initial and derived pores of deformation behavior. During the progressive damage evolution, the optimized structure crucially suppresses derived pore nucleation and delays stress accumulation to enhance damage tolerance and promote uniform plastic deformation. This work provides a new strategy for fabricating high-performance Mg-Al DED components that combine high performance with superior damage resistance.
电弧定向能沉积(W-DED)是一种经济高效的增材制造技术,越来越多地应用于镁合金部件的制造。然而,传统DED法制备的az系列镁合金由于结构粗大、孔隙率高,导致应力集中,导致性能不理想、过早失效。本文将高能脉冲电弧引入AZ31B合金的W-DED中,全面研究了高能脉冲电弧对AZ31B合金的孔隙率、微观组织、力学性能和变形损伤行为的影响。脉冲耦合DED (CMT+P)工艺通过强化凝固动力学和改变溶质再分布来细化晶粒和析出相,显著提高了组分致密化程度。CMT+P工艺制备的AZ31B合金表现出优异的强度-塑性协同效应,沿双轴拉伸强度为262±1.5 MPa,沿双轴拉伸强度为267±2 MPa,总伸长率分别为24.7±1.8 %和25.4±1.5 %。从一种新颖的“初级损伤带(PDB)”角度出发的原位同步加速器断层扫描揭示了变形行为的初始和衍生孔隙之间的竞争关系。在损伤演化过程中,优化后的结构对孔隙成核和应力积累起到关键抑制作用,从而提高损伤容限,促进均匀塑性变形。这项工作为制造高性能Mg-Al DED组件提供了一种新的策略,该策略将高性能与优异的抗损伤性结合起来。
Pyramid connection method for constructing graded triply periodic minimal surface lattices
Nan Yang, Huaxian Wei, Miao Zhao, Changqing Gao
doi:10.1016/j.tws.2025.114253
构造梯度三周期极小曲面格的金字塔连接法
Triply periodic minimal surfaces (TPMSs) use mathematical functions to construct interconnected solid and void regions, making them ideal for generating gradients. However, existing methods often exhibit geometric defects in the transition region, particularly when combining units with significantly different sizes. Here, a novel method is proposed to map a standard TPMS structure into a pyramid-shaped space to produce an intermediate structure connecting two source structures with different geometries. Using this method, the elastic modulus can be significantly increased by extending the transition region length or reducing the layer numbers in the transition region without changing the volume fraction. The maximum elastic modulus is approximately 2.34 times higher than the minimum one constructed using our method. The maximum elastic modulus achieved using our method is 2.78 times of that using weight function method, 1.73 times of that using period modification method, and 1.67 times of that of standard TPMS lattice, with the volume fraction of around 0.29. Moreover, our method effectively connects two source structures with different volume fractions without geometric defects in transition region. The proposed method provides a straightforward and effective approach to form flawless structural gradients for the composites and additive manufacturing community.
三周期最小曲面(tpms)使用数学函数来构建相互连接的固体和空隙区域,使其成为生成梯度的理想选择。然而,现有的方法往往在过渡区域表现出几何缺陷,特别是当组合具有明显不同尺寸的单元时。本文提出了一种新的方法,将一个标准的TPMS结构映射到一个金字塔形状的空间中,从而产生一个连接两个不同几何形状的源结构的中间结构。采用该方法,在不改变体积分数的情况下,通过延长过渡区长度或减少过渡区层数可以显著提高弹性模量。最大弹性模量大约是用我们的方法构造的最小弹性模量的2.34倍。该方法获得的最大弹性模量是权函数法的2.78倍,是周期修正法的1.73倍,是标准TPMS晶格的1.67倍,体积分数约为0.29。此外,我们的方法有效地连接了两个不同体积分数的源结构,在过渡区域没有几何缺陷。该方法为复合材料和增材制造界提供了一种简单有效的方法来形成完美的结构梯度。
Aero-thermo-elastic flutter of sandwich beams featuring functionally graded hydrogen-functionalized graphene reinforced composite face sheets under active control
Jiayi Wang, Fengzhong Li, Lei Zhou, Hongjian Zhang, Haitao Cui
doi:10.1016/j.tws.2025.114245
主动控制下功能梯度氢功能化石墨烯增强复合材料面板夹层梁的气动热弹性颤振
Sandwich structures with advanced face sheet design offer great potential for enhanced aeroelastic stability in high-speed environments. This study investigates the aero-thermo-elastic flutter behavior of sandwich beams featuring functionally graded copper face sheets reinforced with hydrogen-functionalized graphene (HFGr), under piezoelectric active control. The material gradation in the face sheets arises from two mechanis ms: (i) the through-thickness variation in graphene nanoplatelet (GNP) content, and (ii) the distribution of hydrogen atom coverage on GNP surfaces, both influencing the effective material properties. A machine learning-assisted micromechanical model is employed to evaluate the temperature-dependent mechanical properties of the graded face sheets. The governing equations are formulated using first-order shear deformation theory (FSDT) and Hamilton’s principle, and solved via the Ritz method. Aerodynamic loading is modeled using first-order piston theory. A comprehensive parametric study examines the effects of GNP weight fraction, gradient distribution pattern, hydrogen functionalization level, and piezoelectric control gains on the critical flutter velocity under various boundary conditions.
具有先进面板设计的夹层结构在高速环境中提供了巨大的潜力,增强了气动弹性稳定性。本文研究了在压电主动控制下,以氢功能化石墨烯(HFGr)增强的功能梯度铜面板夹层梁的气动热弹性颤振行为。面片中的材料分级源于两个机制:(i)石墨烯纳米板(GNP)含量的厚度变化,以及(ii)氢原子覆盖在GNP表面的分布,两者都影响有效材料性能。采用一种机器学习辅助的微力学模型来评估梯度面片的温度相关力学性能。采用一阶剪切变形理论(FSDT)和Hamilton原理建立了控制方程,并采用Ritz方法求解。气动载荷采用一阶活塞理论建模。综合参数研究了不同边界条件下GNP权重分数、梯度分布模式、氢功能化水平和压电控制增益对临界颤振速度的影响。