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Selection of slip systems in confined single crystal gradient plasticity: coupled effects of slip system orientations, latent hardening, and grain boundaries 受限单晶梯度塑性中滑移系统的选择:滑移系统取向、潜在硬化和晶界的耦合效应
IF 0.8 4区 工程技术 Q3 Engineering Pub Date : 2019-06-28 DOI: 10.24423/AOM.3079
J. Dequiedt
In crystal plasticity under prescribed deformation, the incremental material response is potentially non-unique owing to slip system redundancy for most of the crystalline structures. Following Petryk, energy minimizing considerations give the way to select one of these solutions and the set of active systems, which depend on their more or less favorable orientation and their mutual interactions (latent hardening). This variational approach is extended here to confined plasticity in a finite volume, simulating a single crystal embedded in an aggregate. A slip gradient enhanced framework and related micro-hard boundary conditions are considered, using two defect energies introduced by Gurtin and coworkers: the first one takes the slip system polar dislocation densities as internal state variables and the second one is a quadratic potential of the dislocation density tensor. In both cases, micro-hard conditions amount to null flow for the two former quantities. For the classical one dimensional case of a strip in simple shear, the two models yield substantially different solutions, the second one coupling the gradients on the different systems. These results emphasize the necessity for a physically motivated modeling of gradient effects in the vicinity of grain boundary interfaces.
在规定变形下的晶体塑性中,由于大多数晶体结构的滑移系统冗余,增量材料响应可能不是唯一的。在Petryk之后,能量最小化考虑为选择其中一个解决方案和一组主动系统提供了途径,这取决于它们或多或少的有利方向和相互作用(潜在硬化)。这种变分方法在这里被扩展到有限体积中的有限塑性,模拟嵌入聚集体中的单晶。利用Gurtin及其同事引入的两种缺陷能量,考虑了滑移梯度增强框架和相关的微硬边界条件:第一种是以滑移系极性位错密度为内部状态变量,第二种是位错密度张量的二次势。在这两种情况下,微观硬条件相当于前两个量的零流量。对于单剪切带的经典一维情况,这两个模型产生了基本上不同的解,第二个模型耦合了不同系统上的梯度。这些结果强调了对晶界界面附近的梯度效应进行物理建模的必要性。
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引用次数: 3
Experimental determination and numerical simulation of material and damage behaviour of 3D printed polyamide 12 under quasi-static loading 准静态载荷下3D打印聚酰胺12材料与损伤行为的实验测定与数值模拟
IF 0.8 4区 工程技术 Q3 Engineering Pub Date : 2019-06-08 DOI: 10.24423/AOM.3162
D. Schob, R. Roszak, I. Sagradov, H. Sparr, M. Ziegenhorn, A. Kupsch, Fabien Leonard, B. Müller, G. Bruno
In order to characterise the material and damage behaviour of additively manufactured polyamide 12 (PA12) under quasi-static load and to implement it in a numerical model, experiments under quasi-static load as well as microstructural investigations were carried out. Selective laser sintering (SLS) was used as the manufacturing process. For the classification of the material behaviour, quasi-static cyclic tests with holding times as well as tensile tests were performed. X-ray refraction and computed tomography (CT) were used to investigate the damage behaviour. The Chaboche model, which has already been applied for metallic materials under thermomechanical loading, served as the basis for the selection of the numerical material model. The same procedure was used for the selection of the damage model, where the Gurson–Tvergaard–Needleman (GTN) model was chosen, which was already used for porous metallic materials. The Chaboche model shows very good agreement with experimental results. Furthermore, the coupling with the GTN model allows a very good modelling of the damage behaviour. Finally, it could be shown that the selected models are suitable to simulate the material and damage behaviour of 3D printed PA12.
为了表征增材制造聚酰胺12 (PA12)在准静态载荷下的材料和损伤行为,并将其应用于数值模型,进行了准静态载荷下的实验和微观结构研究。采用选择性激光烧结(SLS)工艺制备。为分类材料的行为,准静态循环试验与保持时间以及拉伸试验进行了。使用x射线折射和计算机断层扫描(CT)来研究损伤行为。Chaboche模型作为材料数值模型选择的依据,该模型已经应用于热机械载荷下的金属材料。损伤模型的选择采用了相同的程序,其中选择了已经用于多孔金属材料的Gurson-Tvergaard-Needleman (GTN)模型。Chaboche模型与实验结果吻合较好。此外,与GTN模型的耦合可以很好地模拟损伤行为。结果表明,所选择的模型适合于模拟3D打印PA12的材料和损伤行为。
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引用次数: 10
Shock compressibility and spall strength of textolite depending on fiber orientation 纤维取向对纺织石的冲击压缩性能和剥落强度的影响
IF 0.8 4区 工程技术 Q3 Engineering Pub Date : 2019-05-28 DOI: 10.24423/AOM.3144
V. Mochalova, A. Utkin, V. Rykova, M. Endres, D. Hoffmann
The experimental study of shock wave compressibility and spall strength of an aramid fiber reinforced epoxy composite (textolite) for two fiber orientations was performed by the VISAR interferometer. The particle velocity profiles were obtained at velocities of the flyer plate from 0.65 to 5.05 km/s. The sound speed of textolite for the longitudinal direction is three times higher than that for transverse one, and as a result, the particle velocity profiles are different for two orientations. For the transverse direction of the fibers, a single shock wave is observed, while for longitudinal one, a two-wave configuration is recorded up to 20 GPa. Hugoniot parameters for both orientations of the fibers were found up to 35 GPa: D = 2.37 + 1.26 ∗ u – for transverse one and D = 1.45 + 2.05 ∗ u – for longitudinal, where D is the shock wave velocity and u is the particle velocity. The spall strength of textolite is equal to 61 MPa for shocks traveling along the fibers, and this is almost twice higher than that for the transverse direction.
利用VISAR干涉仪对芳纶纤维增强环氧复合材料(textolite)在两种纤维取向下的冲击波压缩性和碎片强度进行了实验研究。在0.65 ~ 5.05 km/s的飞片速度范围内,得到了颗粒速度分布。纵向上的声速比横向上的声速高3倍,导致两个方向上的声速分布不同。对于纤维的横向,可以观察到单个激波,而对于纵向,可以记录到高达20 GPa的双波配置。在35 GPa以下,纤维的Hugoniot参数为横向的D = 2.37 + 1.26∗u -,纵向的D = 1.45 + 2.05∗u -,其中D为激波速度,u为粒子速度。在沿纤维方向的冲击下,纺织石的小块强度为61 MPa,几乎是横向冲击强度的两倍。
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引用次数: 2
Second-order two-temperature model of heat transfer processes in a thin metal film subjected to an ultrashort laser pulse 超短激光脉冲作用下金属薄膜传热过程的二阶双温度模型
IF 0.8 4区 工程技术 Q3 Engineering Pub Date : 2019-05-28 DOI: 10.24423/AOM.3131
E. Majchrzak, J. Dziatkiewicz
Thermal processes in domain of thin metal film subjected to an ultrashort laser pulse are considered. A mathematical description of the process discussed is based on the system of four equations. Two of them describe the electrons and lattice temperature, while third and fourth equations represent the generalized Fourier law, it means the dependencies between the electrons (lattice) heat flux and the electrons (lattice) temperature gradient. In the generalized Fourier law the heat fluxes are delayed in relation to the temperature gradients which consequently causes the appearance of heat fluxes time derivatives in the appropriate equations. Depending on the order of the generalized Fourier law expansion into the Taylor series, the first- and the second-order model can be obtained. In contrast to the commonly used first-order model, here the second-order two-temperature model is proposed. The problem is solved using the implicit scheme of the finite difference method. The examples of computations are also presented. It turns out that for the low laser intensities the results obtained using the first- and the second-order models are very similar.
研究了金属薄膜在超短激光脉冲作用下的热过程。所讨论的过程的数学描述是基于四个方程的系统。其中两个方程描述了电子和晶格温度,而第三和第四个方程代表了广义傅里叶定律,它表示电子(晶格)热通量与电子(晶格)温度梯度之间的依赖关系。在广义傅里叶定律中,热通量相对于温度梯度是延迟的,这导致在适当的方程中出现热通量时间导数。根据广义傅里叶定律展开到泰勒级数的阶数,可以得到一阶和二阶模型。与常用的一阶模型不同,本文提出了二阶双温度模型。采用有限差分法的隐式格式求解。并给出了计算实例。结果表明,在低激光强度下,用一阶模型和二阶模型得到的结果非常相似。
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引用次数: 3
Computational method for shaping the vibro-isolation properties of semi-active and active systems 半主动和主动系统隔振特性的计算方法
IF 0.8 4区 工程技术 Q3 Engineering Pub Date : 2019-05-21 DOI: 10.24423/AOM.3098
T. Krzyżyński, I. Maciejewski
The paper deals with an original methodology for modelling and control system design of the semi-active and active systems. At first a generalised simulation model of the vibration reduction system is formulated in such a way that it represents the dynamics of human body exposed to mechanical vibration. Then a novel control system design is proposed in order to adjust force characteristics of the fundamental elements included in the suspension system and consequently to reduce the harmful effects of vibration. Finally, a computational method is experimentally verified by selecting the vibro-isolation properties of an exemplary horizontal seat suspension for a specific input vibration.
本文介绍了一种用于半主动和主动系统建模和控制系统设计的原始方法。首先,建立了减振系统的广义仿真模型,以表示人体在机械振动下的动力学。然后提出了一种新的控制系统设计,以调整悬架系统中基本元件的受力特性,从而减少振动的有害影响。最后,通过选择用于特定输入振动的示例性水平座椅悬架的振动隔离特性,对计算方法进行了实验验证。
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引用次数: 2
Exact response probability density functions of some uncertain structural systems 某些不确定结构系统的精确响应概率密度函数
IF 0.8 4区 工程技术 Q3 Engineering Pub Date : 2019-05-21 DOI: 10.24423/AOM.3109
Giovanni Falsone, R. Laudani
This paper has the goal of defining a class of uncertain structural systems for which it is possible to consider an approach able to give the exact response in terms of the probability density function (PDF). The uncertain structures have been identified in the discretized statically determined ones and the approach has been identified in the coupling of the approximated principal deformation modes method (APDM) and of the probability transformation method (PTM). The first one gives the explicit relationships between the response variables and the uncertainty ones, that are exact when the structures are statically determined. The second method allows to determine the explicit relationship between the PDFs of the response and of the uncertainty variables. The results of some applications have confirmed the goodness of these choices and that the proposed approach gives always exact results for both correlated and uncorrelated uncertainty random variables.
本文的目标是定义一类不确定结构系统,可以考虑一种能够根据概率密度函数(PDF)给出精确响应的方法。在离散静态确定结构中识别了不确定结构,并在近似主变形模态法(APDM)和概率变换法(PTM)的耦合中识别了该方法。第一个给出了响应变量和不确定性变量之间的显式关系,当结构静态确定时,这些关系是精确的。第二种方法允许确定响应的PDF和不确定性变量的PDF之间的显式关系。一些应用的结果证实了这些选择的优性,并且所提出的方法对于相关和不相关的不确定性随机变量总是给出准确的结果。
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引用次数: 8
Solution of the plane contact problem between a finite-thickness laterally graded solid and a rigid stamp of an arbitrary tip-profile 有限厚度横向渐变固体与任意尖端轮廓刚性印模平面接触问题的求解
IF 0.8 4区 工程技术 Q3 Engineering Pub Date : 2019-03-12 DOI: 10.24423/AOM.3207
Onur Arslan
A singular integral equation (SIE) approach and a finite element method are developed for the solution of the frictional sliding contact problem between a finite-thickness laterally graded solid and a rigid stamp of an arbitrary tip-shape considering the plane strain assumption. An exponential shear modulus variation is introduced through the lateral direction. The field variables are obtained applying the Fourier transformation techniques on the governing partial differential equations. A surface displacement gradient is then utilized to derive a SIE of the second kind. A numerical solution of the SIE is performed by using a collation method and the Gauss quadrature integration techniques for the flat, triangular and circular stamp profiles. Finite element analyses (FEA) of the same contact problems are also performed upon selection of the augmented Lagrange contact-solver in ANSYS. For the incomplete (triangular and circular) stamp problems, an iterative algorithm is developed in order to obtain practically computational solutions for any desired contact lengths. Successful convergence of the SIE results and excellent consistency between the SIE and FEA results are attained, that indicate the reliability of both methods. The change in the thickness is shown to alter the contact behavior of the laterally graded solid significantly.
提出了基于平面应变假设的有限厚度横向梯度固体与任意尖端形状的刚性冲压件之间的摩擦滑动接触问题的奇异积分方程方法和有限元方法。在横向上引入了指数剪切模量变化。应用傅里叶变换技术对控制型偏微分方程求出了场变量。然后利用表面位移梯度推导出第二类SIE。采用整理方法和高斯正交积分技术对平面、三角形和圆形冲压型材进行了SIE的数值求解。在ANSYS中选择增广拉格朗日接触求解器,对相同的接触问题进行了有限元分析。对于不完全(三角形和圆形)印痕问题,为了获得任何期望接触长度的实际计算解,开发了一种迭代算法。结果表明,该方法具有较好的收敛性和较好的一致性,表明了两种方法的可靠性。厚度的变化显著地改变了横向梯度固体的接触行为。
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引用次数: 3
Reach of an inclined cantilever with a tip load 倾斜悬臂带顶端载荷的范围
IF 0.8 4区 工程技术 Q3 Engineering Pub Date : 2019-03-12 DOI: 10.24423/AOM.3254
P. Singh, V. Goss
We investigate the problem of determining the reach of an inclined cantilever for a given point load suspended from its tip. Two situations are considered. Firstly, we find the maximum reach of the cantilever by varying its angle of inclination. Secondly, we find the reach of the cantilever subject to the condition that its tip is at some specified height, above or below, the level of the clamped end. In the second case, the reach of the cantilever is maximised by shortening its physical length whilst keeping the physical load and physical height of load deployment constant. All of our solutions representing various reaches of an inclined cantilever for a given point load suspended from its tip are shown to be stable to the snap-back instability.
我们研究的问题,确定一个倾斜的悬臂梁的到达一个给定的点荷载悬挂在其尖端。这里考虑了两种情况。首先,通过改变悬臂梁的倾角,求出悬臂梁的最大位移。其次,我们发现悬臂梁的长度受制于其尖端在某个特定高度的条件,高于或低于夹紧端的水平。在第二种情况下,通过缩短其物理长度,同时保持物理负载和负载部署的物理高度恒定,使悬臂梁的到达最大化。我们所有的解决方案代表了一个倾斜的悬臂梁的不同到达一个给定的点负载悬吊从其尖端被证明是稳定的弹回不稳定性。
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引用次数: 0
Two imperfectly bonded half-planes with an arbitrary inclusion subject to linear eigenstrains in anti-plane shear 在反平面剪切中,具有任意夹杂的两个非完美结合的半平面受线性特征应变的约束
IF 0.8 4区 工程技术 Q3 Engineering Pub Date : 2019-03-12 DOI: 10.24423/AOM.3299
L. Sudak
An analytic solution to the anti-plane problem of an arbitrary inclusion within an elastic bimaterial under the premise of linear eigenstrains is developed. The bonding along the bimaterial interface is considered to be homogeneously imperfect. The boundary value problem is reduced to a single nonhomogeneous first order differential equation for an analytic function prescribed in the lower half-plane where the inclusion is located. The general solution is given in terms of the imperfect interface parameter and an auxiliary function constructed from the conformal mapping function. In particular, the solution obtained for a circular inclusion demonstrates that the imperfect interface together with the prescribed linear eigenstrains have a pronounced effect on the induced stress field within the inclusion and show a strong non-uniform behaviour especially when the inclusion is near the imperfect interface. Specific solutions are derived in a closed form and verified with existing solutions.
在线性本征应变的前提下,给出了弹性双材料中任意夹杂反平面问题的解析解。沿着双材料界面的结合被认为是均匀不完美的。对于包含在下半平面上的解析函数,将边值问题简化为一个非齐次一阶微分方程。根据不完全界面参数和由保角映射函数构造的辅助函数给出了一般解。特别是,获得的圆形夹杂物的解表明,不完美界面和规定的线性本征应变对夹杂物内的诱导应力场有显著影响,并表现出强烈的不均匀行为,尤其是当夹杂物靠近不完美界面时。具体的解决方案是以封闭的形式推导出来的,并与现有的解决方案进行验证。
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引用次数: 0
Prediction of secondary flow losses in an entrance duct to a low-pressure turbine 低压涡轮入口管道二次流损失预测
IF 0.8 4区 工程技术 Q3 Engineering Pub Date : 2019-02-27 DOI: 10.24423/AOM.3025
P. Jonak, T. Borzęcki, S. Kubacki
Secondary flow features and total pressure losses by means of the total pressure loss coefficient are discussed in an entrance duct, named a turbine central frame (TCF), to a four-stage low-pressure turbine (LPT) of aero-engine. The massaveraged total pressure losses are also analysed at outlets from selected components of the low-pressure turbine. The Reynolds-averaged Navier–Stokes (RANS) technique has been employed for prediction of mean flow characteristics. The numerical results are compared with experimental data obtained in Polonia Aero Lab in Zielonka (Poland). Good agreement is obtained between measured and predicted global flow characteristics and the pressure coefficient on a surface of an inlet guide vane. The high values of the loss coefficient are observed at endwalls, in cores of streamwiseoriented vortex structures near to the endwalls and in the wakes behind the vanes. It is found that the endwall losses contribute by far the most to the total losses at the outlets from the turbine central frame and first vane-row and they become lower at an outlet f rom the first blade-row and at outlets form consecutive vane- and blade-rows.
本文讨论了航空发动机四级低压涡轮(LPT)在涡轮中心架(TCF)入口管道内的二次流特征和用总压损失系数计算的总压损失。本文还分析了低压汽轮机各部件出口的总平均压力损失。reynolds -average Navier-Stokes (RANS)技术被用于预测平均流动特性。数值结果与波兰Zielonka Polonia航空实验室的实验数据进行了比较。测量和预测的整体流动特性与进口导叶表面的压力系数吻合良好。损失系数的高值出现在端壁、靠近端壁的流向涡结构的核心以及叶片后的尾迹处。结果表明,端壁损失在涡轮机中央机架和第一叶片排出口处的总损失中所占比例最大,而在第一叶片排出口处和连续叶片排出口处,端壁损失相对较小。
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引用次数: 0
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