今日更新:International Journal of Solids and Structures 1 篇,Mechanics of Materials 2 篇,International Journal of Plasticity 1 篇,Thin-Walled Structures 2 篇
A “poor-man’s” deformation plasticity based approach to topology optimization of elastoplastic structures
Kai Li, Mathias Wallin, Matti Ristinmaa, Gengdong Cheng
doi:10.1016/j.ijsolstr.2024.113056
基于“穷人”变形塑性的弹塑性结构拓扑优化方法
This paper presents a topology optimization framework utilizing a deformation plasticity model to approximate the isotropic hardening von-Mises incremental elastoplasticity model under monotone proportional loading. One advantage of the model is that it is based on a yield surface allowing for precise matching to uniaxial elastoplastic isotropic hardening response. The deformation plasticity model and the incremental plasticity model coincides for proportional loading and since the deformation plasticity model is path-independent, the computational cost and implementation complexity reduce significantly compared to the conventional incremental elastoplasticity. To investigate the deformation plasticity model combined with topology optimization, we compare three common elastoplastic optimization objectives: stiffness, strain energy and plastic work. The possibility to limit the peak local plastic work while maximizing the strain energy is also investigated. The consistent analytical sensitivity analysis which only requires the terminal state is derived using adjoint method. Numerical examples demonstrate that the proportionality assumption is reasonable and the deformation plasticity model combined with topology optimization is a competitive alternative to cumbersome incremental elastoplasticity.
本文提出了一种利用变形塑性模型近似单调比例加载下各向同性硬化von-Mises增量弹塑性模型的拓扑优化框架。该模型的一个优点是,它是基于屈服面,允许精确匹配的单轴弹塑性各向同性硬化响应。在比例加载条件下,变形塑性模型与增量塑性模型吻合,且由于变形塑性模型与路径无关,与传统增量弹塑性模型相比,计算成本和实现复杂度显著降低。为了研究与拓扑优化相结合的变形塑性模型,我们比较了三种常用的弹塑性优化目标:刚度、应变能和塑性功。在最大限度地提高应变能的同时限制局部塑性功峰值的可能性也进行了研究。利用伴随法导出了只要求终端态的一致性分析灵敏度分析。数值算例表明,比例假设是合理的,结合拓扑优化的变形塑性模型是替代繁琐的增量弹塑性的有力选择。
Physically recurrent neural network for rate and path-dependent heterogeneous materials in a finite strain framework
M.A. Maia, I.B.C.M. Rocha, D. Kovačević, F.P. van der Meer
doi:10.1016/j.mechmat.2024.105145
在有限应变框架下速率和路径相关非均质材料的物理递归神经网络
In this work, a hybrid physics-based data-driven surrogate model for the microscale analysis of heterogeneous material is investigated. The proposed model benefits from the physics-based knowledge contained in the constitutive models used in the full-order micromodel by embedding the material models in a neural network. Following previous developments, this paper extends the applicability of the physically recurrent neural network (PRNN) by introducing an architecture suitable for rate-dependent materials in a finite strain framework. In this model, the homogenized deformation gradient of the micromodel is encoded into a set of deformation gradients serving as input to the embedded constitutive models. These constitutive models compute stresses, which are combined in a decoder to predict the homogenized stress, such that the internal variables of the history-dependent constitutive models naturally provide physics-based memory for the network. To demonstrate the capabilities of the surrogate model, we consider a unidirectional composite micromodel with transversely isotropic elastic fibers and elasto-viscoplastic matrix material. The extrapolation properties of the surrogate model trained to replace such micromodel are tested on loading scenarios unseen during training, ranging from different strain-rates to cyclic loading and relaxation. Speed-ups of three orders of magnitude with respect to the runtime of the original micromodel are obtained.
在这项工作中,研究了一种基于混合物理的数据驱动代理模型,用于非均质材料的微尺度分析。该模型通过将材料模型嵌入到神经网络中,利用全阶微模型中本构模型中包含的物理知识。根据先前的发展,本文通过在有限应变框架中引入适用于速率相关材料的架构,扩展了物理递归神经网络(PRNN)的适用性。该模型将微模型的均匀化变形梯度编码为一组变形梯度,作为嵌入本构模型的输入。这些本构模型计算应力,这些应力组合在一个解码器中以预测均匀的应力,这样,依赖于历史的本构模型的内部变量自然地为网络提供基于物理的记忆。为了证明替代模型的能力,我们考虑了一个具有横向各向同性弹性纤维和弹粘塑性基体材料的单向复合微模型。在训练期间未见的加载场景下,从不同的应变率到循环加载和松弛,测试了替代微模型的替代模型的外推特性。相对于原始微模型的运行时间,获得了三个数量级的加速。
Effect of porous microstructure and fiber arrangement of thermal protection composites on effective thermal conductivity
Fan Yang, Weihua Xie, Songhe Meng
doi:10.1016/j.mechmat.2024.105147
热防护复合材料的孔隙结构和纤维排列对有效导热系数的影响
The inclusions in a high-temperature resistant matrix can significantly influence the radiative heat transfer of composite materials at elevated temperatures; therefore, the microstructure design of composites for thermal protection during atmospheric re-entry require a more accurate prediction of thermal insulation performance. In this paper, the Rosseland approximation was used to investigate the radiative heat transfer within thermal protection materials, e.g., porous carbon-based material and ultra-high-temperature ceramics (e.g., ZrB2-SiC), and the discrete dipole scattering method was used to evaluate the extinction efficiency across the inclusions with different types of microstructures. The effect of inclusion parameters, such as inclusion size, shape coefficient, volume fraction, orientation, and size distribution, on the radiative and effective thermal conductivity (ETC) at various temperatures was analyzed in detail. Test results obtained from the existing literature were used to validate the ETC of porous ceramics predicted by the proposed model. The results indicated that the microstructures in thermal protection materials play a fundamental role in improving the heat-shielding properties. The present study deepens the understanding of the relationship between microstructures and thermal radiation properties and provides theoretical design guidelines for thermal protection materials with improved thermal insulation properties.
耐高温基体中的夹杂物对复合材料在高温下的辐射传热有显著影响;因此,用于大气再入热防护的复合材料微结构设计需要对其隔热性能进行更精确的预测。本文采用Rosseland近似研究了多孔碳基材料和超高温陶瓷(如ZrB2-SiC)等热防护材料内部的辐射传热,并采用离散偶极子散射方法评估了不同类型显微结构夹杂间的消光效率。详细分析了包裹体尺寸、形状系数、体积分数、取向、尺寸分布等参数对不同温度下的辐射导热系数和有效导热系数的影响。利用现有文献的测试结果验证了所提出模型预测的多孔陶瓷的ETC。结果表明,热防护材料的显微组织对热防护性能的提高起着至关重要的作用。本研究加深了对微结构与热辐射性能关系的认识,为提高隔热性能的热防护材料的设计提供了理论指导。
Influence of textural variability on plastic response of porous crystal embedded in polycrystalline aggregate: A crystal plasticity study
Sagar Chandra, Suranjit Kumar, Mahendra K. Samal, Vivek M. Chavan
doi:10.1016/j.ijplas.2024.104117
多晶骨料中嵌入多孔晶体的织构变化对塑性响应的影响:晶体塑性研究
Damage evolution in polycrystalline aggregates is complicated by the intricate interplay of crystallographic orientation of the porous grain and the surrounding anisotropic matrix. Therefore, formulation of design rules and damage models for polycrystalline materials proves daunting due to relative lack of thorough understanding of the underlying heterogeneity at the mesoscale. This work explores the orientation dependent void growth in a porous crystal embedded in an anisotropic polycrystalline matrix with different initial textures. Polycrystalline face-centered cubic based aggregate is simulated within the framework of crystal plasticity finite element method. Porosity is first modeled in the form of a single pre-existing spherical void in the central grain of the randomly oriented polycrystal. One-hundred crystallographic orientations of the central grain in three-dimensional Euler space are analyzed to reveal the orientation dependent trends of the porous grain. To account for textural variability, the analysis is repeated for polycrystals exhibiting preferred textures like Cube, Brass, Copper and Goss. In this manner, interesting orientation dependent trends in basic tenets of void growth like yield strength, coalescence strain and porosity evolution are unraveled across various polycrystalline textures. To account for spatial heterogeneity as well, porosity in the central grain is then re-distributed and the aforementioned analysis is repeated for all the crystallographic orientations of the central grain embedded in polycrystals with different textures. Owing to the large amount of data thus generated, statistical analysis is invoked to identify stimulating trends and key statistical variables governing the strength and toughness. Consequently, a statistical void growth model is also presented by assessing the CP simulation results and identifying suitable distribution function governing the growth of voids in polycrystals. The modeling framework is expected to inform porous plasticity models aimed at capturing damage evolution in porous grains embedded in polycrystalline materials exhibiting topological and crystallographic anisotropy.
多孔颗粒的晶体取向与周围各向异性基体的相互作用使多晶团聚体的损伤演化变得复杂。因此,由于相对缺乏对中尺度潜在非均质性的透彻理解,多晶材料的设计规则和损伤模型的制定是艰巨的。本研究探索了嵌入在具有不同初始结构的各向异性多晶基质中的多孔晶体中与取向相关的空洞生长。采用晶体塑性有限元法对多晶面心立方基骨料进行了数值模拟。孔隙度首先以随机取向多晶的中心颗粒中单个预先存在的球形空隙的形式建模。对中心晶粒在三维欧拉空间的100个晶体取向进行了分析,揭示了多孔晶粒的取向依赖趋势。为了解释纹理的可变性,对具有立方体、黄铜、铜和高斯等优选纹理的多晶重复分析。通过这种方式,在不同的多晶结构中揭示了屈服强度、聚结应变和孔隙度演化等空洞生长基本原理中有趣的取向依赖趋势。为了考虑空间异质性,中心晶粒的孔隙度被重新分配,并对嵌入在不同纹理的多晶体中的中心晶粒的所有晶体取向重复上述分析。由于产生了大量的数据,因此需要进行统计分析,以确定刺 激的趋势和控制强度和韧性的关键统计变量。在此基础上,通过对CP模拟结果的评估,确定了控制多晶中孔洞生长的合适分布函数,提出了孔洞生长的统计模型。该模型框架有望为多孔塑性模型提供信息,这些模型旨在捕捉嵌入在具有拓扑和晶体各向异性的多晶材料中的多孔颗粒的损伤演变。
Free vibration analysis of a functionally graded porous triangular plate with arbitrary shape and elastic boundary conditions using an isogeometric approach
Milad Izadi, Maryam Abedi, Paolo S. Valvo
doi:10.1016/j.tws.2024.112422
用等几何方法分析任意形状和弹性边界条件下功能梯度多孔三角形板的自由振动
This paper presents a comprehensive analysis of the free vibrations of functionally graded porous (FGP) triangular plates with arbitrary shapes and elastic boundary conditions using Isogeometric Analysis (IGA). We express the triangular shapes by using non-uniform rational B-splines (NURBS). The impact of porosity, geometry, and boundary conditions on the natural frequencies is investigated, with a focus on three key factors: porosity coefficient, geometric shape, and type of boundary conditions. Results show that increasing porosity generally leads to an increase in natural frequencies for thin plates, while thicker plates exhibit the opposite trend. The effect of geometric shape, characterized by different angles, is investigated and reveals distinct trends in natural frequencies. The study also investigates both classical and elastic boundary conditions, illustrating the impact of arbitrary boundary conditions on the natural frequency response. Validation against previous references and finite element methods establishes the accuracy of the presented results. The paper concludes with an extension of the analysis to various scenarios, offering valuable insights into the intricate interplay of porosity, geometry, and boundary conditions on the vibrational behavior of FGP triangular plates.
本文采用等几何分析方法对具有任意形状和弹性边界条件的功能梯度多孔(FGP)三角形板的自由振动进行了综合分析。用非均匀有理b样条(NURBS)表示三角形。研究了孔隙度、几何形状和边界条件对固有频率的影响,重点研究了孔隙度系数、几何形状和边界条件类型这三个关键因素。结果表明,孔隙率的增加通常会导致薄板固有频率的增加,而厚板则相反。研究了不同角度的几何形状的影响,揭示了固有频率的不同趋势。该研究还研究了经典边界条件和弹性边界条件,说明了任意边界条件对固有频率响应的影响。通过对先前文献和有限元方法的验证,确定了所提出结果的准确性。本文最后将分析扩展到各种情况,为FGP三角形板的振动行为的孔隙率,几何形状和边界条件的复杂相互作用提供了有价值的见解。
On energy absorption capability and controllable failure modes of CFRP circular tube using numerical simulation
Hongyuan Yang, Yiru Ren
doi:10.1016/j.tws.2024.112423
基于数值模拟的CFRP圆管能量吸收能力及可控失效模式研究
Enhancing the energy absorption (EA) capacity of carbon fiber reinforced plastic (CFRP) structures by inducing controlled failure modes is significant for lightweight design in aerospace. In the present work, four triggers including inward horizontal trigger, inward tilted trigger, outward horizontal trigger and outward tilted trigger are proposed to induce specific failure modes of CFRP circular tubes under axial loading. Under the framework of maximum stress and traction-separation damage criterion, the numerical model that can accurately predict load response and fracture behavior is established. The results showed that circular tubes with horizontal triggers have higher energy absorption (0.98%–15.62%). The circular tubes with tilted triggers were able to achieve higher crushing load efficiency (12.16%–22.97%). The damage state of the material becomes controllable and mainly manifests as tensile and compressive damage in the axial fiber direction. To clarify the strengthening mechanism, the influence of typical structural parameters of the trigger on the crashworthiness is investigated. It is found that increasing the groove width can effectively reduce the peak load. Finally, the controlled failure principle of CFRP tubes is analyzed and revealed. The results confirm the effectiveness of the trigger mechanism.
通过诱导可控失效模式来提高碳纤维增强塑料(CFRP)结构的吸能能力,对航空航天轻量化设计具有重要意义。本文提出了向内水平触发、向内倾斜触发、向外水平触发和向外倾斜触发四种触发机制来诱导CFRP圆管在轴向载荷作用下的特定破坏模式。在最大应力和牵引分离损伤准则框架下,建立了能够准确预测载荷响应和断裂行为的数值模型。结果表明,带水平触发装置的圆管吸能较高(0.98% ~ 15.62%)。带倾斜触发器的圆管具有较高的破碎负荷效率(12.16% ~ 22.97%)。材料的损伤状态变得可控,主要表现为纤维轴向的拉伸和压缩损伤。为阐明其强化机理,研究了触发器典型结构参数对其耐撞性的影响。研究发现,增大槽宽可以有效降低峰值荷载。最后,分析并揭示了CFRP管的可控失效原理。结果证实了该触发机构的有效性。