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提出了基于能量法的微结构灵敏度计算和构型优化新方法,与均匀化方法相比,虽然本质相同,但计算效率高、且软件实现更加简便。本文以微结构等效弹性矩阵各分量的不同组合为设计目标,采用对偶凸规划方法结合周长约束策略进行二维、三维微结构构型优化设计。算例结果表明,采用能量法的微结构优化方法与均匀化方法具有相同的效果,不仅能获得具有极端特性构型的材料微结构,而且具有推导简洁、编程简单的优点。 相似文献
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《中国航空学报》2020,33(2):621-633
This paper presents a multiscale design method for simultaneous topology optimization of both macrostructures and microstructures. Geometric features are extended as design primitives at both macro and micro scales and represented by Level Set Functions (LSFs). Parameters related to the locations, sizes, and orientations of macro and micro features are considered as design variables and optimized simultaneously. In the overlapping areas of different macro features, embedded microstructures are optimally figured out as the solution of the corresponding sub-optimization problem. In this study, the eXtended Finite Element Method (XFEM) is implemented for structural and sensitivity analyses with respect to design variables. This method has the advantage of using a fixed grid independent of the topology optimization process. The homogenization procedure is applied to calculate the effective properties of considered microstructures in each macro feature. Numerical examples are presented to illustrate the effectiveness of the proposed method. Results depict that the multiscale design cannot obviously improve structural stiffness compared with a solid-material design under the linear elastic condition. 相似文献
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基于导热性能的复合材料微结构拓扑优化设计 总被引:5,自引:0,他引:5
基于均匀化理论和拓扑优化技术,提出了复合材料稳态导热性微结构构型的设计方法。根据均匀化理论给出的周期性材料微结构(单胞)等效导热系数的计算公式,结合有限元分析手段对单胞的等效导热系数求解;定义设计区域内微结构每个单元的导热系数为伪密度设计变量,约束材料用量,分别以材料微结构某个方向导热性能最好为目标和宏观结构的散热性能最佳为目标;采用实体各向同性惩罚函数法(SIMP)构造单胞拓扑结构优化数学模型,导出材料等效导热系数的灵敏度计算公式;采用凸规划对偶求解与周长控制约束相结合进行拓扑优化并获得了优化的微结构构型,数值算例结果验证了所提出的拓扑优化方法可以有效地进行复合材料微结构的导热性能设计。 相似文献
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基于一种新的渐近均匀化(AH)实施方法,预测并讨论了单向纤维增强复合材料(FRP)的宏观等效弹性性能及纤维排列方式对等效力学性能的影响。该方法方便地将有限元分析(FEA)软件作为一个工具箱使用,只需在单胞上施加简单位移周期边界条件开展静力学分析,即可经过简单计算得到等效弹性常数,相比传统均匀化实施方法显著降低了实施难度并简化了计算过程。通过对比不同数值方法的结果验证了该方法的有效性和精确性。数值结果表明:六边形排列下单向纤维增强复合材料呈现横观各向同性,而正方形排列下则呈现宏观正交各向异性,经过刚度平均化过程可得到横观各向异性材料性质,纤维体积含量对两种排列方式下材料等效弹性模量影响显著但有所差别。 相似文献
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采用Gleeble-1500D热模拟试验机对原位合成TiB2(质量分数,8%)/6351复合材料在不同变形温度和不同应变速率条件下的热变形特性进行了研究,利用透射电镜(TEM)和光学显微镜分析了压缩后试样的微观组织.结果表明, 材料的流变应力随变形温度的升高而降低,随应变速率的提高而增大;材料的流变行为主要表现为加工硬化、动态回复和动态再结晶;相应的显微组织特征为:位错网络、混乱的位错团和胞状结构,亚晶及等轴晶.在应变速率和变形温度均较低时,增强体颗粒周围的基体中形成高密度位错区,但随变形温度的升高而减少;在应变速率较高时,增强体颗粒和基体的界面处开裂甚至增强体颗粒本身发生破碎. 相似文献
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为更准确地预测不同固体颗粒体积分数的复合固体推进剂的松弛模量,采用了分子动力学方法对不同体积分数的复合固体推进剂细观模型进行建模.根据有限元理论及细观力学均匀化方法,计算在定应变工况下复合固体推进剂细观模型的平均应力随时间的变化,从而有效地预测复合固体推进剂的松弛模量.该方法有效地体现了随填充颗粒体积分数的增大,复合固体推进剂瞬时模量逐渐增大的变化规律及颗粒随机分布对复合固体推进剂瞬时模量的影响.将其应用到复合固体推进剂的设计过程中,可有效降低设计成本,缩短设计周期. 相似文献
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研究了均匀化处理对两种含B的铸造TiAl合金铸造组织的影响。研究发现1 370℃/5 min/OQ+1150℃/6 h/AC均匀化热处理能有效消除B2相,将b稳定化元素固溶到基体中,实现成分均匀化;1 370℃/5 min/OQ+1 150℃/24 h/AC均匀化热处理后可使粗大的铸造片层组织分解转变为细晶近g组织,平均晶粒直径50mm。 相似文献
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利用均匀化方法,计算了树脂基三维编织复合材料在不同温度下的恒温松弛模量,通过对计算结果的分析,提出了树脂基三维编织复合材料松弛模量具有时温等效性的假设,并用数值方法验证了此假设的合理性。以该假设为基础,建立了由树脂基三维编织复合材料恒温松弛模量确定其变温松弛模量的一般方法。对模型施加合理的周期性边界条件后计算了材料编织方向的变温松弛模量,并对比了不同温度变化速率对变温松弛模量的影响。结果表明,对应于不同的温度变化历史,树脂基三维编织复合材料有不同的变温松弛模量,但稳态值相同,且快速升温可明显缩短变温松弛模量到达稳态的时间。 相似文献
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轻质材料与结构的一体化设计 总被引:1,自引:0,他引:1
针对多孔材料微结构构型的可设计性,基于材料多尺度均匀化计算理论,提出以宏观结构最大刚度为目标,材料微结构构型为变量的材料与结构一体化设计新方法,实现了材料宏观布局设计与材料微结构精细设计的统一。采用凸规划对偶优化求解技术与二次型周长约束格式相结合的途径,实现了快速求解与材料分布棋盘格效应的控制。数值计算结果表明,在材料用量一定的情况下,本方法能有效地实现蜂窝结构及夹层结构的拓扑优化设计,为满足极端环境下航空航天结构的设计需求提供了新的设计思想。 相似文献
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Nanoindentation testing and its Reverse Analysis Method(RAM) show great potential in understanding the tensile properties of metallic alloys with various microstructures. Nevertheless,the tensile properties of heterogeneous materials such as nickel-based superalloy welded joints have not been well interpreted by combining the microstructures and nanoindentation results, due to their diverse and complex microscopic zones, which throws shade on the properties of separated zones in the material. He... 相似文献
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三维正交机织复合材料单胞特征单元及其应用 总被引:1,自引:0,他引:1
基于三维正交机织复合材料,提出了一种特征单元均匀化分析方法。用“特征单元”来表示能够反映单胞的几何构造细节和材料构造细节的单元。首先用一般有限元方法对三维正交机织复合材料单胞进行分析得到总体刚度矩阵,利用该矩阵的特征向量建立了单胞的特征单元。通过比较特征单元的刚度矩阵元素和利用传统均匀化方法得到的刚度矩阵元素,说明了特征单元能够反应单胞的几何构造和材料构造细节。为了验证特征单元的有效性,分别用特征单元、传统均匀化方法和一般有限元方法计算了三维正交机织复合材料梁的固有频率,结果表明特征单元精度比传统均匀化方法高,而计算量比一般有限元方法大幅度降低。 相似文献
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A method of determining effective elastic properties of honeycomb cores based on equal strain energy
A computational homogenization technique (CHT) based on the finite element method (FEM) is discussed to predict the effective elastic properties of honeycomb structures. The need of periodic boundary conditions (BCs) is revealed through the analysis for in-plane and out-of-plane shear moduli of models with different cell numbers. After applying periodic BCs on the represen-tative volume element (RVE), comparison between the volume-average stress method and the boundary stress method is performed, and a new method based on the equality of strain energy to obtain all non-zero components of the stiffness tensor is proposed. Results of finite element (FE) analysis show that the volume-average stress and the boundary stress keep a consistency over different cell geometries and forms. The strain energy method obtains values that differ from those of the volume-average method for non-diagonal terms in the stiffness matrix. Analysis has been done on numerical results for thin-wall honeycombs and different geometries of angles between oblique and vertical walls. The inaccuracy of the volume-average method in terms of the strain energy is shown by numerical benchmarks. 相似文献
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《中国航空学报》2023,36(4):496-509
In this paper, the thin-walled structures with lattices and stiffeners manufactured by additive manufacturing are investigated. A design method based on the multi-material topology optimization is proposed for the simultaneous layout optimization of the lattices and stiffeners in thin-walled structures. First, the representative lattice units of the selected lattices are equivalent to the virtual homogeneous materials whose effective elastic matrixes are achieved by the energy-based homogenization method. Meanwhile, the stiffeners are modelled using the solid material. Subsequently, the multi-material topology optimization formulation is established for both the virtual homogeneous materials and solid material to minimize the structural compliance under mass constraint. Thus, the optimal layout of both the lattices and stiffeners could be simultaneously attained by the optimization procedure. Two applications, the aircraft panel structure and the equipment mounting plate, are dealt with to demonstrate the detailed design procedure and reveal the effect of the proposed method. According to numerical comparisons and experimental results, the thin-walled structures with lattices and stiffeners have significant advantages over the traditional stiffened thin-walled structures and lattice sandwich structures in terms of static, dynamic and anti-instability performance. 相似文献
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连续体结构拓扑优化方法评述 总被引:6,自引:2,他引:6
连续体结构拓扑优化在优化中能产生新的构型,对实现自动化智能结构设计具有重要意义。目前,连续体结构拓扑优化方法主要有:均匀化方法、变厚度法、变密度法、渐进结构优化方法、水平集法、独立连续映射方法。本文首先系统回顾了以上方法的发展历程,介绍了它们的研究现状。其次,通过对比以上拓扑优化方法对若干典型算例的优化结果,表明以上方法都有较好的减重效果。最后,对以上方法进行了总结,列出了它们的优缺点和发展方向。 相似文献