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Theoretical prediction of effective elastic constants for new intermetallic compound porous material 被引量:2
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作者 苏淑兰 饶秋华 贺跃辉 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2013年第4期1090-1097,共8页
Based on microstructure analysis of the new Ti-A1 intermetallic compound porous material, a micromechanics model of heterogeneous Plateau porous structure was established and calculation formulas of elastic constants ... Based on microstructure analysis of the new Ti-A1 intermetallic compound porous material, a micromechanics model of heterogeneous Plateau porous structure was established and calculation formulas of elastic constants (including effective elastic modulus, effective shear elastic modulus and effective Poisson ratio) were derived by the energy method for this porous material. Calculation results show that both the effective elastic modulus and effective shear elastic modulus increase with the increase of the relative density while the effective Poisson ratio decreases. Compared with the currently-existing hexagonal honeycomb model and micromechanics model of composite materials, the micromechanics model of heterogeneous Plateau porous structure in this study is more suitable for characterizing the medium-density porous material and more accurate for predicting the effective elastic constants of the medium-density porous material. Moreover, the obtained explicit expressions of the effective elastic constants in term of the relative density rather than the microstructural parameters for the uniform and regular Plateau porous structure are more convenient to engineering application. 展开更多
关键词 intermetallic compound porous material effective elastic modulus Plateau structure energy method
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Size effects of effective Young's modulus for periodic cellular materials 被引量:2
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作者 DAI GaoMing ZHANG WeiHong 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2009年第8期1262-1270,共9页
With the wide demands of cellular materials applications in aerospace and civil engineering,research effort sacrificed for this type of materials attains nowadays a higher level than ever before.This paper is focused ... With the wide demands of cellular materials applications in aerospace and civil engineering,research effort sacrificed for this type of materials attains nowadays a higher level than ever before.This paper is focused on the prediction methods of effective Young's modulus for periodical cellular materials.Based on comprehensive studies of the existing homogenization method(HM),the G-A meso-mechanics method(G-A MMM) and the stretching energy method(SEM) that are unable to reflect the size effect,we propose the bending energy method(BEM) for the first time,and a comparative study of these four methods is further made to show the generality and the capability of capturing the size effect of the BEM method.Meanwhile,the underlying characteristics of each method and their relations are clarified.To do this,the detailed finite element computing and existing experimental results of hexagonal honeycombs from the literature are adopted as the standard of comparison for the above four methods.Stretch and bending models of periodical cellular materials are taken into account,respectively for the comparison of stretch and flexural displacements resulting from the above methods.We conclude that the BEM has the strong ability of both predicting the effective Young's modulus and revealing the size effect.Such a method is also able to predict well the variations of structural displacements in terms of the cell size under stretching and bending loads including the non-monotonous variations for the hexagonal cell.On the contrary,other three methods can only predict the limited results whenever the cell size tends to be infinitely small. 展开更多
关键词 PERIODIC cellular materials effective Young’s modulus size effect bending ENERGY method homogenization method G-A MESOMECHANICS method STRETCHING ENERGY method
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THE VALIDITY OF THE MODIFIED MORI-TANAKA METHOD FOR COMPOSITES WITH SLIGHTLY WEAKENED INTERFACE
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作者 Zhai, J Luo, HA 《Acta Mechanica Solida Sinica》 SCIE EI 1997年第2期108-117,共10页
This paper presents a direct Mori-Tanaka approach to calculate the effective moduli of particle-reinforced composites and fiber-reinforced composites with spring-like imperfect interfaces. By a comparison between thes... This paper presents a direct Mori-Tanaka approach to calculate the effective moduli of particle-reinforced composites and fiber-reinforced composites with spring-like imperfect interfaces. By a comparison between these results and those obtained from the approximate Mori-Tanaka method developed by Qu for composites with slightly weakened interface, the validity of the Qu's method is revealed. 展开更多
关键词 composite materials imperfect interface effective moduli mori-tanaka method
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Effective properties of a porous inhomogeneously polarized by direction piezoceramic material with full metalized pore boundaries:finite element analysis 被引量:1
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作者 Andrey Nasedkin Mohamed Elsayed Nassar 《Journal of Advanced Dielectrics》 CAS 2020年第5期1-10,共10页
This paper concerns the homogenization problems for porous piezocomposites with infinitely thin metalized pore surfaces.To determine the effective properties,we used the effective moduli method and the finite element ... This paper concerns the homogenization problems for porous piezocomposites with infinitely thin metalized pore surfaces.To determine the effective properties,we used the effective moduli method and the finite element approaches,realized in the ANSYS package.As a simple model of the representative volume,we applied a unit cell of porous piezoceramic material in the form of a cube with one spherical pore.We modeled metallization by introducing an additional layer of material with very large permittivity coefficients along the pore boundary.Then we simulated the nonuniform polarization field around the pore.For taking this effect into account,we previously solved the electrostatic problem for a porous dielectric material with the same geometric structure.From this problem,we obtained the polarization field in the porous piezomaterial;after that,we modified the material properties of the finite elements from dielectric to piezoelectric with element coordinate systems whose corresponding axes rotated along the polarization vectors.As a result,we obtained the porous unit cell of an inhomogeneously polarized piezoceramic matrix.From the solutions of these homogenization problems,we observed that the examined porous piezoceramics composite with metalized pore boundaries has more extensive effective transverse and shear piezomoduli,and effective dielectric constants compared to the conventional porous piezoceramics.The analysis also showed that the effect of the polarization field inhomogeneity is insignificant on the ordinary porous piezoceramics;however,it is more significant on the porous piezoceramics with metalized pore surfaces. 展开更多
关键词 PIEZOELECTRICITY porous piezoceranics metalized micropore nonuniform polarization transverse piezoelectic modulus homogerization problem effective modulus finite element method
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基于变体积约束的阻尼材料微结构拓扑优化研究 被引量:2
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作者 张东东 栾福强 +1 位作者 赵礼辉 郑玲 《应用数学和力学》 CSCD 北大核心 2022年第6期648-659,共12页
阻尼复合结构的抑振性能取决于材料布局和阻尼材料特性.该文提出了一种变体积约束的阻尼材料微结构拓扑优化方法,旨在以最小的材料用量获得具有期望性能的阻尼材料微结构.基于均匀化方法,建立阻尼材料三维微结构有限元模型,得到阻尼材... 阻尼复合结构的抑振性能取决于材料布局和阻尼材料特性.该文提出了一种变体积约束的阻尼材料微结构拓扑优化方法,旨在以最小的材料用量获得具有期望性能的阻尼材料微结构.基于均匀化方法,建立阻尼材料三维微结构有限元模型,得到阻尼材料的等效弹性矩阵.逆用Hashin-Shtrikman界限理论,估计对应于期望等效模量的阻尼材料体积分数限,并构建阻尼材料体积约束限的移动准则.将获得阻尼材料微结构期望性能的优化问题转化为体积约束下最大化等效模量的优化问题,建立阻尼材料微结构的拓扑优化模型.利用优化准则法更新设计变量,实现最小材料用量下的阻尼材料微结构最优拓扑设计.通过典型数值算例验证了该方法的可行性和有效性,并讨论了初始微构型、网格依赖性和弹性模量等对阻尼材料微结构的影响. 展开更多
关键词 阻尼材料 变体积约束 等效模量 均匀化方法 Hashin-Shtrikman界限理论
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复合材料细观几何结构对有效模量的影响 被引量:1
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作者 张景涛 王兆清 《机械强度》 CAS CSCD 北大核心 2009年第3期437-442,共6页
基于平均值坐标插值的多边形有限元方法——重心有限元,以代表性单胞为计算模型,讨论增强相的细观几何特征对纤维增强复合材料有效模量的影响。通过改变增强相的尺寸、形状和方位等几何特征后得到的计算结果表明,增强相尺寸是影响有效... 基于平均值坐标插值的多边形有限元方法——重心有限元,以代表性单胞为计算模型,讨论增强相的细观几何特征对纤维增强复合材料有效模量的影响。通过改变增强相的尺寸、形状和方位等几何特征后得到的计算结果表明,增强相尺寸是影响有效模量的最基本的因素。除此之外,方位的影响较之形状的影响要更加显著。 展开更多
关键词 重心有限元 有效模量 复合材料 代表性单胞 数值计算
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金属-陶瓷功能梯度材料(FGM)等效弹性模量有限元模型 被引量:1
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作者 郑恒伟 涂志鹏 +2 位作者 胡琪 何彪 王立燕 《科技创新导报》 2019年第31期101-105,共5页
基于有限元方法离散思想,直接考虑基体相与增强相相互作用,建立预测金属-陶瓷功能梯度材料(Functionally Graded Materials,简称FGM)等效弹性模量的有限元模型,分别预测Al2O3/Al FGM和SiC/Al FGM等效弹性模量,并分析预测结果。
关键词 等效弹性模量 功能梯度材料(FGM) 有限元方法
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基于Cosserat弹性理论的直接均匀化方法
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作者 赵勇 张若京 《同济大学学报(自然科学版)》 EI CAS CSCD 北大核心 2011年第3期462-466,共5页
运用细观力学中的直接均匀化方法研究了具有周期微结构的非均匀材料的均匀化问题,得到了基于Cosserat理论的直接均匀化方法,并对具有周期微结构的非均匀材料的平面问题进行了研究,研究结果验证了均匀化方法的正确性.
关键词 COSSERAT理论 非均匀材料 直接均匀化方法 有效弹性模量
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高孔隙率多孔介质材料有效复合模量的预估
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作者 梁小燕 兑关锁 黄海明 《科学技术与工程》 2005年第10期665-667,共3页
利用分割孔隙的方法,取一半孔隙作为夹杂,另一半和原基体作为新基体,首先利用Mori-Tanaka法求得新基体的有效模量,然后类似地对新基体和另一半孔隙,利用相同的方法求得多孔介质的有效复合模量。通过实例计算表明,即使当孔隙率较大时,现... 利用分割孔隙的方法,取一半孔隙作为夹杂,另一半和原基体作为新基体,首先利用Mori-Tanaka法求得新基体的有效模量,然后类似地对新基体和另一半孔隙,利用相同的方法求得多孔介质的有效复合模量。通过实例计算表明,即使当孔隙率较大时,现方法与试验数据也相当吻合。 展开更多
关键词 多孔介质材料 有效复合模量 Mori—Tanaka法
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混杂纤维复合材料横向剪切模量和体积模量的预测
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作者 王晓军 蒋持平 《常州工学院学报》 2005年第3期1-8,共8页
利用新型广义自洽模型推导混杂纤维复合材料有效模量的预测公式。模型假定各相纤维的共焦点椭圆柱体细观单元嵌在同一宏观上均匀化的复合材料中。通过解析函数的保角变换与罗朗级数展开,获得了相应问题的解。根据复合材料平均应力与应... 利用新型广义自洽模型推导混杂纤维复合材料有效模量的预测公式。模型假定各相纤维的共焦点椭圆柱体细观单元嵌在同一宏观上均匀化的复合材料中。通过解析函数的保角变换与罗朗级数展开,获得了相应问题的解。根据复合材料平均应力与应变关系,获得了混杂纤维复合材料横向剪切模量和体积模量的预测公式。该模型能够考虑纤维截面影响,所得理论值与实验结果吻合较好。 展开更多
关键词 混杂纤维复合材料 体积模量 剪切模量 预测公式 有效模量 模型推导 椭圆柱体 级数展开 保角变换 解析函数 应变关系 平均应力 均匀化 理论值
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Powder metallurgy with space holder for porous titanium implants:A review 被引量:6
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作者 Alejandra Rodriguez-Contreras Miquel Punset +3 位作者 JoséA.Calero Francisco Javier Gil Elisa Ruperez JoséMaría Manero 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2021年第17期129-149,共21页
One of the biggest challenges in the biocompatibility of implantable metals is the prevention of the stress shielding effect,which is related to the coupling of the bone-metal mechanical properties.This stress shieldi... One of the biggest challenges in the biocompatibility of implantable metals is the prevention of the stress shielding effect,which is related to the coupling of the bone-metal mechanical properties.This stress shielding phenomenon provokes bone resorption and the consequent adverse effects on prosthesis fixation.However,it can be inhibited by adapting the stiffness of the implant material.Since the use of titanium(Ti)porous structures is a great alternative not only to inhibit this effect but also to improve the osteointegration of orthopedic and dental implants,a brief description of the techniques used for their manufacturing and a review of the current commercialized implants produced from porous Ti assemblies are compiled in this work.As powder metallurgy(PM)with space holder(SH)is a powerful technology used to produce porous Ti structures,it is here discussed its potential for the fabrication of medical devices from the perspectives of both design and manufacture.The most important parameters of the technique such as the size and shape of the initial metallic particles,the SH and binder type of materials,the compaction pressure of the green form,and in the sintering stage,the temperature,atmosphere,and time are reviewed according to the bibliography reported.Furthermore,the importance of the porosity and its types together with the influence of the mentioned parameters in the final porosity and,consequently,in the ultimate mechanical properties of the structure are discussed.Finally,a few examples of the PM-SH application for the manufacturing of orthopedic implants are presented. 展开更多
关键词 Powder metallurgy Space holder method porous titanium structures Medical devices Stress shielding effect porous materials permeability Interconnected porosity porous bone substitute materials Open-cell titanium foams Sintering-dissolution technique
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球形/球柱形微胶囊自修复水泥基复合材料修复效率数值模拟 被引量:6
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作者 吕忠 熊庭倩 陈惠苏 《硅酸盐学报》 EI CAS CSCD 北大核心 2021年第2期357-364,共8页
水泥基复合材料因其固有的脆性和较低的抗拉强度,在工程结构中不可避免会发生开裂。胶囊法自修复系统为水泥基材料基体开裂的修复和延缓潜在危害提供了一种可行的方法。借助扩展有限元方法,模拟了微胶囊自修复水泥基模型材料内微裂缝的... 水泥基复合材料因其固有的脆性和较低的抗拉强度,在工程结构中不可避免会发生开裂。胶囊法自修复系统为水泥基材料基体开裂的修复和延缓潜在危害提供了一种可行的方法。借助扩展有限元方法,模拟了微胶囊自修复水泥基模型材料内微裂缝的产生、扩展、断裂过程及胶囊破裂行为,验证了裂缝迫使胶囊发生破裂的概率;应用复合材料理论,计算出了不同掺量下球形/球柱形微胶囊修复前后水泥基复合材料的有效弹性模量,表征了该复合材料的修复效率。 展开更多
关键词 水泥基材料 自修复 微胶囊 有效弹性模量 扩展有限元
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两种五零能模式材料单胞构型及其性能分析 被引量:3
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作者 徐冰 王晓明 梅玉林 《固体力学学报》 CAS CSCD 北大核心 2015年第4期290-296,共7页
五零能模式材料是一种新型的人工超材料,虽属于弹性材料,但组成其单胞的特殊构型使其宏观静态表现为仅能承载一种受力状态,动态表现为仅能传播一种弹性波.论文首先构造了两种五零能模式材料的单胞构型,其具有不同的弹性特性,其中一种材... 五零能模式材料是一种新型的人工超材料,虽属于弹性材料,但组成其单胞的特殊构型使其宏观静态表现为仅能承载一种受力状态,动态表现为仅能传播一种弹性波.论文首先构造了两种五零能模式材料的单胞构型,其具有不同的弹性特性,其中一种材料可传播弹性膨胀波,另一种可传播弹性剪切波.然后分别采用代表体元法和渐近均匀化法分析这两种单胞的等效弹性模量.五零能模式材料的分析分为两步更直观,开始从单胞桁架模型入手,检验单胞构型是否满足五零能模式的定义,然后分析单胞实体模型,考察单胞构型的结构参数与其等效弹性模量的关系.研究表明对于这种低密度弹性材料的分析,代表体元法更适合. 展开更多
关键词 五零能模式材料 声学斗篷材料 代表体元法 渐近均匀化法 等效弹性模量
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