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本文提出一个任意弹性结点约束下梁元单刚求解的统一公式,无论弹性约束是转角方向还是线位移方向,均能简便地导出,特别适于用计算机求有弹性结点约束的梁元单刚. 相似文献
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作为多孔材料的典型代表,蜂窝夹层结构被广泛应用于航空航天、汽车船舶等重要领域,因此对其力学性能进行研究具有十分重要的工程意义。利用应变能等效原理对一种新型类蜂窝夹芯的面外等效弹性模量和等效剪切模量进行了推导,并利用有限元数值模拟对此理论模型进行了验证。经对比发现,数值模拟结果和理论计算误差控制在10%以内,验证了此新型类蜂窝夹芯面外力学等效模型的可靠性。本文所阐述的内容完善了该新型类蜂窝夹芯在力学性能方面的研究,也为此新型类蜂窝夹层结构在工程实际中的推广和应用提供了理论依据和基础。 相似文献
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蜂窝芯层的等效弹性参数 总被引:61,自引:2,他引:61
反映蜂窝材料等效弹性参数的Gibson公式结果简单,便于应用然而由于对应于蜂窝壁板伸缩变形的刚度被忽略,导致蜂窝夹层结构数值分析时,芯层材料的弹性矩阵表现出不确定性本文重新考虑了蜂窝壁板的伸缩变形对面内刚度的影响,对Gibson公式进行了修正本本文结果不但克服了Gibson公式的缺陷,同时提出了考虑蜂窝芯层面内刚度的一种简化方案,该方案可以方便地应用于蜂窝夹层结构的计算。 相似文献
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关于蜂窝芯体面外等效剪切模量的讨论 总被引:2,自引:0,他引:2
对于六边形蜂窝芯体,其面内等效参数具有确定的解析式,便于应用;相比之下,对于面外等效剪切模量,现有工作只能给出其上下限,由于没有确定的取值,给工程计算带来了困扰。为克服这一矛盾,本文通过Y型蜂窝胞元,针对薄面板的情况,重新分析了芯材的面外等效剪切模量。针对直壁板与斜壁板厚度为1:1和2:1的情况,给出了近似的弹性力学解答,并由此确定出面外等效剪切模量的上限。本方法所确定的剪切模量的上限与文献给出的剪切模量的下限是相同的,从而使该模量也具有确定的解析表达式,方便了数值计算和分析。试验数据和有限元数值分析均验证了本文结论的正确性。 相似文献
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通过试验结合有限元方法,针对蜂窝夹芯结构的无损件和三种冲击损伤件开展了单轴压缩载荷下的失效模式研究,同时考虑了胶层性能与损伤尺寸的影响。研究结果表明:试验和有限元方法得到的损伤模式及起始损伤位置相同;不同冲击损伤位置可导致结构的整体承载能力不同,下降的范围为10%~20%。其中:损伤位于顶面区时承载能力下降最为严重,损伤位于边缘区时承载能力下降最少;面芯界面胶层性能的不同会使结构材料破坏顺序改变,胶层断裂能较低时夹芯结构由蜂窝芯破坏向层间破坏转变;冲击能量不同引起结构损伤程度不同,随着损伤深度的增加,结构破坏的危险位置由中心转向边缘。 相似文献
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本文指出Gibson等提出的等壁厚峰窝结构在面内剪力作用下的单元分析不满足平衡条件.本文建立了等壁厚与非等壁厚峰窝结构在面内剪力作用下的合理的单元分析,导出了蜂窝结构面内折合剪切模量G_(xy)的计算公式.本文结果与实验数据符合得很好. 相似文献
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Trabecular bone with its porous structure is an important compressive load bearing member. Different structural factors such as porosity, non-homogeneous deformation, varying trabeculae thickness, connectivity, and nanoscale (10 nm to 1 μm) to macroscale (~0.1 mm to 10 mm) composition hierarchy determine the failure properties of trabecular bone. While the above factors have important bearing on bone properties, an understanding of how the local nanoscale properties change at different macroscale compressive strain levels can be important to develop an understanding of how bone fails. In the present work, such analyses are performed on bovine femoral trabecular bone samples derived from a single animal. Analyses focus on measuring nanoindentation elastic moduli at three distinct levels of compressive strains in the bone samples: (1) when the samples are not loaded; (2) after the samples have been loaded to a strain level just before apparent yielding and the macroscale compression test is stopped; and (3) after the samples have been compressed to a strain level after apparent yielding and the macroscale compression test is stopped. Nanoindentation elastic modulus values are two orders of magnitude higher than the macroscale compressive elastic modulus values of all samples. A high variability in macroscale compressive elastic modulus values is observed because of porous architecture and small sample size. Nanoindentation elastic modulus values show a progressive reduction with increase in the extent of macroscale compressive deformation. Apparent yielding has a significant effect on this trend. The decrease in nanoindentation modulus value for all samples accelerates from approximately 20% before yielding to approximately 60% after yielding in comparison to the nanoindentation modulus values at 0% strain level. The level of variation in the predicted nanoindentation modulus values is the lowest for uncompressed samples (~16–18%). However, with increase in the extent of compression, the level of variation increases. It varied between 50% and 90% for the samples tested after yielding showing a widespread heterogeneity in local nanoscale structural order after apparent yielding. Scanning electron microscope (SEM) observations suggest that apparent yielding significantly destroys local nanoscale structural order. However, quantitative results suggest that a significant residual nanoscale stiffness varying from 5 GPa to 8 GPa among different samples still remains for possible repair facilitation. 相似文献
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高纯铝箔在特定的溶液下经过电化学阳极氧化腐蚀,可在其表面生成一层多孔的非晶氧化铝层,孔大致呈六方密排,孔径分布均匀。此类薄膜具有规则的纳米级孔径,大的比表面积,可用在微纳滤方面和纳米材料组装方面。然而,对于此类薄膜力学性能的研究较少,在一定程度上限制其功能的开发和应用。为了获得此类多孔膜的弹性常数,本文用鼓膜法结合散斑干涉实验方法、单轴拉伸结合双光束干涉法和多普勒测振仪三种方法测量氧化铝多孔膜的弹性模量,得到的宏观弹性模量基本相同,并对三种方法的优缺点进行了比较,分析了多孔氧化铝膜与块状氧化铝材料或致密氧化铝膜力学性能的差并。 相似文献
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D. Veazie J. L. Jordan J. E. Spowart B. W. White N. N. Thadhani 《Experimental Mechanics》2013,53(7):1213-1222
In this paper, a methodology has been developed to accurately predict the elastic properties of multi-constituent particulate composites by accounting for irreversible effects, such as energy loss that arises due to internal friction. The complex dependence on loading density and particle properties (i.e., size, shape, morphology, etc.) is investigated in terms of their effects on the effective elastic modulus of the composite. Confirmed by experimental data from the compression loading of individual Ni and Al particles dispersed in an epoxy matrix, it is believed that this approach captures the effects of internal friction, consequently providing a more accurate and comprehensive representation for predicting and understanding the material behavior of multi-constituent particulate reinforced composites. The present methodology provides a model to directly compare the elastic modulus from an uncomplicated test, such as dual-cantilever beam loading in dynamic mechanical analysis (DMA), to the modulus obtained by other more complex experimental methods such as quasi-static compression. The model illustrates an efficient method to incorporate input data from DMA to represent realistic elastic moduli, hence promising for the characterization and design of particulate composites. 相似文献
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鼓膜法测定纳米多孔氧化铝薄膜的弹性模量 总被引:1,自引:4,他引:1
本文的多孔氧化铝薄膜含有直径均一、互相平行且与表面垂直的有序纳米孔阵列。它有广阔的应用前景。多孔氧化铝膜与氧化铝陶瓷材料的宏观力学性能有很大的区别。本文用鼓膜法结合实时电子散斑干涉(ESPI)技术,测量薄膜压力与离面位移的关系,再用周边固支平板小挠度模型计算出多孔氧化铝薄膜的宏观弹性模量。本实验中厚76微米的多孔氧化铝薄膜的宏观弹性模量为32.5GPa,比热压氧化铝陶瓷的弹性模量几乎小一个数量级,主要是由于晶相和细观结构不同造成的。这种方法较适合测量此类结构薄膜的力学性能。 相似文献
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采用三维模型预测了传统六角形蜂窝材料和带圆环结点六角形蜂窝材料的有效弹性性能.利用有限元法并结合周期边界条件计算了材料代表性体积单元的平均应力,进而由平均场理论获得了两种蜂窝材料全部的有效弹性常数.将传统蜂窝材料的计算结果与已有梁模型的计算结果和试验数据进行了对比,结果表明三维模型比梁模型具有更高的精度,分析了梁模型误... 相似文献