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Feature-driven topology optimization method preserving component sequences considering turning angle constraint 考虑转角约束的特征驱动拓扑优化方法
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-07-03 DOI: 10.1007/s10409-024-23433-x
Dongsheng Jia  (, ), Lei Liu  (, ), Jihong Zhu  (, ), Yu Zhang  (, ), Vassili Toropov

Component sequence preservation is an intrinsic requirement in typical engineering applications, such as deployable chain-like structures, 3D printing structures with contour-parallel toolpaths, additive manufacturing of continuous fibre-reinforced polymer structures, customized stents, and soft robotics parts. This study presents a feature-driven method that preserves component sequences accounting for engineering requirements. The chain-of-bars design variables setting scheme is developed to realize the sequential component’s layout, which sets the current bar’s end point as the next bar’s start point. The total length of the printing path is constrained to reduce the consumption of material accurately. Also, the angle between adjacent bars is constrained to avoid sharp angles at the turning point of the 3D printing path. Next, the sensitivity analysis considering the inter-dependence of substructures is performed. Several numerical examples are given to demonstrate the validity and merits of the proposed method in designing structures preserving component sequences.

保留组件序列是典型工程应用的内在要求,例如可部署的链状结构、具有轮廓平行工具路径的三维打印结构、连续纤维增强聚合物结构的增材制造、定制支架和软机器人部件。本研究提出了一种特征驱动方法,可根据工程要求保留组件序列。为实现连续部件的布局,开发了条形链设计变量设置方案,将当前条形链的终点设置为下一个条形链的起点。对打印路径的总长度进行限制,以精确减少材料消耗。此外,还限制了相邻棒材之间的角度,以避免在三维打印路径的转折点出现尖角。接下来,考虑到子结构之间的相互依赖性,进行了敏感性分析。我们给出了几个数值示例,以证明所提方法在设计保留组件序列的结构时的有效性和优点。
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引用次数: 0
Adaptive feedback compensation control method for bipedal robot walking under continuous external disturbances 连续外部干扰下双足机器人行走的自适应反馈补偿控制方法
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-07-01 DOI: 10.1007/s10409-024-24007-x
Zijing Li  (, ), Jinlin Zhang  (, ), Mengyue Lu  (, ), Wanchao Chi  (, ), Chong Zhang  (, ), Shenghao Zhang  (, ), Yuzhen Liu  (, ), Chunbiao Gan  (, )

In the past few decades, people have been trying to address the issue of walking instability in bipedal robots in uncertain environments. However, most control methods currently have still failed to achieve robust walking of bipedal robots under uncertain disturbances. Existing research mostly focuses on motion control methods for robots on uneven terrain and under sudden impact forces, with little consideration for the problem of continuous and intense external force disturbances in uncertain environments. In response to this issue, a disturbance-robust control method based on adaptive feedback compensation is proposed. First, based on the Lagrangian method, the dynamic model of a bipedal robot under different types of external force disturbances was established. Subsequently, through dynamic analysis, it was observed that classical control methods based on hybrid zero dynamics failed to consider the continuous and significant external force disturbances in uncertain environments. Therefore, an adaptive feedback compensation controller was designed, and an adaptive parameter adjustment optimization algorithm was proposed based on walking constraints to achieve stable walking of bipedal robots under different external force disturbances. Finally, in numerical simulation experiments, comparative analysis revealed that using only a controller based on hybrid zero dynamics was insufficient to converge the motion of a planar five-link bipedal robot subjected to periodic forces or bounded noise disturbances to a stable state. In contrast, in the adaptive feedback compensation control method, the use of an adaptive parameter adjustment optimization algorithm to generate time-varying control parameters successfully achieved stable walking of the robot under these disturbances. This indicates the effectiveness of the adaptive parameter adjustment algorithm and the robustness of the adaptive feedback compensation control method.

过去几十年来,人们一直在努力解决双足机器人在不确定环境下行走不稳定的问题。然而,目前大多数控制方法仍无法实现双足机器人在不确定干扰下的稳健行走。现有的研究大多集中在不平整地形和突发冲击力下机器人的运动控制方法上,很少考虑不确定环境中持续、强烈的外力干扰问题。针对这一问题,本文提出了一种基于自适应反馈补偿的抗干扰控制方法。首先,基于拉格朗日方法,建立了双足机器人在不同类型外力干扰下的动态模型。随后,通过动态分析发现,基于混合零动力学的经典控制方法无法考虑不确定环境下连续而显著的外力干扰。因此,设计了一种自适应反馈补偿控制器,并提出了一种基于行走约束的自适应参数调整优化算法,以实现双足机器人在不同外力干扰下的稳定行走。最后,在数值模拟实验中,对比分析表明,仅使用基于混合零动力学的控制器不足以使受到周期性力或有界噪声干扰的平面五连杆双足机器人的运动收敛到稳定状态。相比之下,在自适应反馈补偿控制方法中,利用自适应参数调整优化算法生成时变控制参数,成功实现了机器人在这些干扰下的稳定行走。这表明了自适应参数调整算法的有效性和自适应反馈补偿控制方法的鲁棒性。
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引用次数: 0
Quantifying the influence of vortex instability on mean velocity field statistics of wingtip vortex 量化涡旋不稳定性对翼尖涡旋平均速度场统计的影响
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-07-01 DOI: 10.1007/s10409-024-24085-x
Zepeng Cheng  (, ), Chong Pan  (, ), Jiangsheng Wang  (, )

During its evolution to the far field, the wingtip vortex exhibits complex instability behaviors such as long-wave/short-wave instability and vortex wandering. However, the quantification influence of vortex instability on its velocity field statistics has not been well investigated. To this end, experimental measurements of a canonical wingtip vortex generated by an elliptical wing under various angles of attack and Reynolds numbers were conducted using particle image velocimetry. It is found that the streamwise variation of wandering amplitude presents an exponential growth within the middle-to-far wake region and asymptotically saturates to 10−1b in the far wake, which differs from the previous report of a linear growth trend in the near-wake region. Further, two average methods, i.e., time average (TA) and ensemble average (EA), were adopted to compare the velocity field statistics. In both TA- and EA-obtained flow fields, the vortex radius rc, peak vorticity (Omega_{x}^{p}), and vortex circulation Γ all demonstrate a power-law scaling with respect to the streamwise location, i.e., (r_{c}propto x^{k_{r}},Omega_{x}^{p}propto x^{-k_{omega}}), and (Gammapropto x^{-k_{Gamma}}), respectively. For a full rolling-up wingtip vortex in the middle-to-far wake region, the fact that kΓ = kω − 2kr demonstrates that the vortex circulation can be scaled as (Gamma=Omega_{x}^{p}(r_{c})^{2}). On the other hand, TA overestimates the decay rate of peak vorticity kω and the growth rate of vortex radius kr. Furthermore, the TA-introduced bias level of the peak vorticity and vortex radius is found to be scaled with an empirical scaling between the wandering amplitude by a power law, respectively. These findings provide significant practical value for detecting wake vortex in wake vortex spacing systems.

在向远场演化过程中,翼尖涡旋表现出复杂的不稳定行为,如长波/短波不稳定性和涡旋徘徊。然而,涡旋不稳定性对其速度场统计的量化影响还没有得到很好的研究。为此,我们使用粒子图像测速仪对椭圆机翼在不同攻角和雷诺数条件下产生的典型翼尖漩涡进行了实验测量。结果发现,徘徊振幅的流向变化在中远尾流区呈指数增长,在远尾流区渐近饱和至 10-1b,这与之前报告的近尾流区的线性增长趋势不同。此外,还采用了两种平均方法,即时间平均(TA)和集合平均(EA)来比较速度场统计量。在TA和EA得到的流场中,涡旋半径rc、峰值涡度(Omega_{x}^{p})和涡旋环流Γ都表现出与流向位置有关的幂律缩放关系,即分别为:(r_{c}/propto x^{k_{r}},(Omega_{x}^{p}/propto x^{-k_{omega}}/)和(Gamma/propto x^{-k_{Gamma}}/)。对于中远距离尾流区域的全滚动翼尖涡旋,kΓ = kω - 2kr 这一事实表明,涡旋环流可以缩放为(Gamma=Omega_{x}^{p}(r_{c})^{2})。另一方面,TA 高估了峰值涡度的衰减率 kω 和涡旋半径的增长率 kr。此外,还发现 TA 引入的峰值涡度和涡半径的偏差水平分别与徘徊振幅之间的幂律经验值成比例关系。这些发现为在唤醒涡间距系统中探测唤醒涡提供了重要的实用价值。
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引用次数: 0
Energy harvesting and speed sensing with a hybrid rotary generator for self-powered wireless monitoring 利用混合旋转发电机进行能量采集和速度传感,实现自供电无线监测
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-06-26 DOI: 10.1007/s10409-024-23508-x
Zhixia Wang  (, ), Hongyun Qiu  (, ), Xuanbo Jiao  (, ), Wei Wang  (, ), Qichang Zhang  (, ), Ruilan Tian  (, ), Dongxing Cao  (, )

Real-time onboard health monitoring systems are critical for the railway industry to maintain high service quality and operational safety. However, the issue with power supplies for monitoring sensors persists, especially for freight trains that lack onboard power. Here, we propose a hybrid piezoelectric-triboelectric rotary generator (HPT-RG) for energy harvesting and vehicle speed sensing. The HPT-RG incorporates a rotational self-adaptive technique that softens the equivalent stiffness, enabling the piezoelectric non-resonant beam to surpass resonance limitations in a low-frequency region. The experiments demonstrate the feasibility of using the HPT-RG as an energy harvesting module to collect the rotational energy of the freight rail transport and power the wireless temperature sensors. To allow multiple monitoring in confined spaces on trains, a triboelectric sensing module is added to the HPT-RG to sense the operation speed and mileage of vehicles. Furthermore, the generator exhibits favorable mechanical durability under more than 600 h of official testing on the train bogie axle. The proposed HPT-RG is essential for creating a truly self-powered, maintenance-free, and zero-carbon onboard wireless monitoring system on freight railways.

实时车载健康监测系统对于铁路行业保持高质量服务和运营安全至关重要。然而,监测传感器的电源问题依然存在,尤其是缺乏车载电源的货运列车。在此,我们提出了一种用于能量采集和车速感应的压电-三电混合旋转发电机(HPT-RG)。HPT-RG 采用了旋转自适应技术,软化了等效刚度,使压电非谐振梁在低频区域超越了谐振限制。实验证明了将 HPT-RG 用作能量收集模块的可行性,以收集轨道货运的旋转能量并为无线温度传感器供电。为了能在列车的狭小空间内进行多重监控,HPT-RG 还增加了一个三电传感模块,以感知车辆的运行速度和里程。此外,该发电机在列车转向架车轴上进行了 600 多小时的正式测试,表现出良好的机械耐久性。拟议的 HPT-RG 对于在货运铁路上创建真正的自供电、免维护和零碳车载无线监控系统至关重要。
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引用次数: 0
Biomechanical analysis of an osteocyte model by considering bone matrix’s piezoelectricity 通过考虑骨基质的压电性对骨细胞模型进行生物力学分析
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-06-26 DOI: 10.1007/s10409-024-23533-x
Xiyu Wang  (, ), Zhengbiao Yang  (, ), Yanru Xue  (, ), Yixian Qin  (, ), Meng Zhang  (, ), Jing Chen  (, ), Pengcui Li  (, ), Xiaochun Wei  (, ), Haoyu Feng  (, ), Liming He  (, ), Yanqin Wang  (, ), Xiaogang Wu  (, ), Weiyi Chen  (, )

Osteocytes, the primary cells in bone, play a crucial role in sensing external load environments and regulating other bone cells. Due to the piezoelectric effect of the mineralized matrix and collagen that make up bone, the mechanical stimulus received is converted into an electrical stimulus to affect the reconstruction of bone. Despite the importance of osteocyte, many studies have focused on the mechanical loading and fluid flow of it, there is still a gap in the study of the piezoelectric effects of various mechanosensors on the microscale. In this paper, we developed a finite element model of osteocytes that incorporates the piezoelectric bone matrix. This model is comprehensive, comprising the osteocyte cell body enclosed by lacuna, osteocyte processes enclosed by canaliculi, and the interposed charged ionic fluid. Additionally, it features mechanosensors such as collagen hillocks and primary cilia. In our study, we subjected the piezoelectric bone matrix model to triaxial displacement, subsequently assessing the electrical signal variations across different mechanosensors within the osteocyte. The observed disparities in mechanical perception by various mechanosensors were primarily attributable to greater liquid velocity changes in the polarization direction as opposed to other directions. Collagen hillocks showed insensitivity to piezoelectric signals, serving predominantly to mechanically transmit signals through solid-to-solid contact. In contrast, processes and primary cilia were highly responsive to piezoelectric signals. Interestingly, the processes oriented in the direction of the electric field demonstrated a differential piezoelectric signal perception compared to those in other directions. Primary cilia were especially sensitive to fluid flow pressure changes, which were influenced both by loading rates and external piezoelectric effects. Overall, our findings illuminate the complexity of mechanical perception within osteocytes in a piezoelectric environment. This adds a new dimension to our understanding and suggests avenues for future research in bone reconstruction and cellular mechanical behavioral transmission.

骨细胞是骨骼中的初级细胞,在感知外部负载环境和调节其他骨细胞方面发挥着至关重要的作用。由于构成骨骼的矿化基质和胶原蛋白具有压电效应,接收到的机械刺激会转化为电刺激,从而影响骨骼的重建。尽管骨细胞非常重要,许多研究都集中在其机械加载和流体流动方面,但在微尺度上研究各种机械传感器的压电效应仍是空白。在本文中,我们建立了一个包含压电骨基质的骨细胞有限元模型。该模型非常全面,包括由裂隙围成的骨细胞体、由管腔围成的骨细胞过程以及内含电荷的离子液体。此外,它还具有胶原丘和初级纤毛等机械传感器。在我们的研究中,我们对压电骨基质模型进行了三轴位移,随后评估了骨细胞内不同机械传感器的电信号变化。观察到的不同机械传感器的机械感知差异主要归因于极化方向的液体速度变化大于其他方向。胶原丘对压电信号不敏感,主要通过固-固接触进行机械信号传递。与此相反,过程和初级纤毛对压电信号高度敏感。有趣的是,与其他方向的纤毛相比,电场方向的纤毛对压电信号的感知不同。初级纤毛对流体流动压力的变化尤其敏感,这种变化同时受到加载速率和外部压电效应的影响。总之,我们的发现揭示了压电环境下骨细胞内机械感知的复杂性。这为我们的理解增添了新的维度,并为未来的骨重建和细胞机械行为传输研究提供了途径。
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引用次数: 0
A complete orthogonal decomposition method for the comprehensive deformation energy of discrete elastomers 离散弹性体综合变形能的完全正交分解法
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-06-26 DOI: 10.1007/s10409-024-23181-x
Kaixuan Liang  (, ), Panxu Sun  (, ), Dongwei Wang  (, ), Yadan Yan  (, )

Based on mathematical orthogonality and mechanical equilibrium, a deformation energy decomposition method for classical isotropic square and cube elements is proposed by considering the physical parameters of materials. By aid of this method, the comprehensive deformation energy of planar discrete elastomers can be decomposed into five basic deformation energies, and the comprehensive deformation energy of spatial discrete elastomers can be decomposed into eighteen basic deformation energies. The quantification and visualization of structural deformation performance can be realized. According to the magnitude of different deformation energy in the same element, the decomposition diagram is drawn, which can visually display the area dominated by each basic deformation energy. The cloud diagram is drawn based on the distribution of specific deformation energy in different elements, which can be used to analyze the gradient change of deformation energy in the structure. Finally, the deformation properties of cantilever beam and four-sided consolidation plate are analyzed by deformation energy decomposition method. The correctness and superiority of this method are verified by comparing with the results of strain energy decomposition.

基于数学正交性和力学平衡,考虑材料的物理参数,提出了经典各向同性正方体和立方体元素的变形能分解方法。借助该方法,平面离散弹性体的综合变形能可分解为五个基本变形能,空间离散弹性体的综合变形能可分解为十八个基本变形能。实现了结构变形性能的量化和可视化。根据同一构件中不同变形能的大小绘制分解图,可直观显示各基本变形能所占的面积。根据不同元素中特定变形能的分布情况绘制云图,可用于分析结构中变形能的梯度变化。最后,利用变形能分解法分析了悬臂梁和四面固结板的变形特性。通过与应变能分解法的结果对比,验证了该方法的正确性和优越性。
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引用次数: 0
Supergravity effects on flame propagation and structure in hydrogen/air mixtures 超重力对氢气/空气混合物中火焰传播和结构的影响
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-06-25 DOI: 10.1007/s10409-024-24098-x
Wenkai Liang  (, ), Chung K. Law  (, )

In the current work, we investigated hydrogen/air flame propagation under supergravity conditions. Results show that when gravity is in the same/opposite direction as flame propagation, it leads to acceleration/deceleration of the flame, and that such an effect could substantially modify the flame propagation and structure at high gravity levels. Furthermore, for the absolute and relative flame propagation speeds, the gravity-affected flame speed shows opposite trends as the absolute flame speed is more affected by the local induced flow field, while the relative flame speeds are controlled by the super-adiabatic or sub-adiabatic flame temperature. The gravity-affected thermal and chemical flame structures are also examined through the influence of the mixture equivalence ratio, pressure, and flame stretch.

在当前工作中,我们研究了超重力条件下氢/空气火焰的传播。结果表明,当重力与火焰传播方向相同或相反时,会导致火焰的加速/减速,这种效应会极大地改变高重力水平下的火焰传播和结构。此外,对于火焰的绝对传播速度和相对传播速度,重力影响的火焰速度呈现出相反的趋势,因为绝对火焰速度更多地受到局部诱导流场的影响,而相对火焰速度则受到超绝热或亚绝热火焰温度的控制。此外,还通过混合物当量比、压力和火焰拉伸的影响,研究了受重力影响的热火焰和化学火焰结构。
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引用次数: 0
Enhanced ballistic resistance of SiC ceramic-fiber composite armor: an investigation of fiber laminate backing effects and fragmentation dynamics 增强碳化硅陶瓷纤维复合装甲的抗弹性:纤维层压背衬效应和碎裂动力学研究
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-06-25 DOI: 10.1007/s10409-024-24004-x
Wencheng Lu  (, ), Yiding Wu  (, ), Minghui Ma  (, ), Yilei Yu  (, ), Xuan Zhou  (, ), Botong Wang  (, ), Guangfa Gao  (, )

This study examines the penetration of 12.7 mm armor piercing incendiary projectiles into SiC ceramic-fiber composite target plates. By observing the recovered projectile and the overall damage morphology of the ceramic-fiber composite target plates. Additionally, multi-level screening and weighing of the recovered projectile and ceramic fragments revealed that the mass distribution of the projectile and ceramic fragments under different backing structures conforms to a power-law distribution. Experimental results indicate that for single laminate as the backing, the fragmentation of the projectile and ceramics is highest when T300 is the material. Incorporating a T300 transition layer between the SiC ceramic and aramid fibers (Kevlar) or ultra-high molecular weight polyethylene (UHMWPE) increases the fragmentation of the projectile and ceramics, leading to increased energy absorption. The projectile’s head mainly exhibits pulverized abrasive fragmentation, while larger projectile fragments primarily result from shear and tensile stress-induced shear-tensile failure fractures. The primary damage mode of ceramics under high-speed impact is the expansion of ceramic cones and radial cracks. The main form of damage in UHMWPE laminate is interlayer separation caused by tensile waves, permanent plastic deformation at the back protrusion, and perforation failure primarily due to shear waves. The damage mode of Kevlar laminate is similar to that of UHMWPE, with the distinction being that Kevlar laminate primarily exhibits perforation failure caused by tensile waves. Carbon fiber T300 laminate damage mainly consists of cross-shaped brittle fractures caused by shear waves.

本研究考察了 12.7 毫米穿甲燃烧弹对碳化硅陶瓷纤维复合材料靶板的穿透情况。通过观察回收的弹丸和陶瓷纤维复合材料靶板的整体损伤形态。此外,对回收的弹丸和陶瓷碎片进行多级筛选和称重后发现,不同衬底结构下弹丸和陶瓷碎片的质量分布符合幂律分布。实验结果表明,以单层板为衬底时,以 T300 为材料的弹丸和陶瓷碎片的破碎率最高。在碳化硅陶瓷和芳纶纤维(凯夫拉)或超高分子量聚乙烯(UHMWPE)之间加入 T300 过渡层可提高弹丸和陶瓷的破碎率,从而增加能量吸收。弹丸头部主要表现为粉末磨料破碎,而较大的弹丸碎片主要来自剪切和拉伸应力引起的剪切-拉伸破坏断裂。陶瓷在高速冲击下的主要破坏模式是陶瓷锥体和径向裂纹的扩展。超高分子量聚乙烯层压材料的主要损坏形式是拉伸波引起的层间分离、背面突起处的永久塑性变形以及主要由剪切波引起的穿孔破坏。凯芙拉层压板的损坏模式与超高分子量聚乙烯相似,区别在于凯芙拉层压板主要表现出由拉伸波引起的穿孔破坏。碳纤维 T300 层压板的破坏主要是剪切波引起的十字形脆性断裂。
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引用次数: 0
Morphological design and tunable mechanical properties of 3D spinodal membrane structures: adaptive coarse-grained modelling 三维旋膜结构的形态设计和可调机械特性:自适应粗粒度建模
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-06-25 DOI: 10.1007/s10409-024-23655-x
Yujie Xiang  (, ), Jie Tian  (, ), Keke Tang  (, ), Xianqiao Wang  (, ), Zheng Zhong  (, )

The spinodal decomposition method emerges as a promising methodology, showcasing its potential in exploring the design space for metamaterial structures. However, spinodal structures design is still largely limited to regular structures, due to their relatively easy parameterization and controllability. Efficiently predicting the mechanical properties of 3D spinodal membrane structure remains a challenge, given that the features of the membrane necessitate adaptive mesh through the modelling process. This paper proposes an integrated approach for morphological design with customized mechanical properties, incorporating the spinodal decomposition method and adaptive coarse-grained modeling, which can produce various morphologies such as lamellar, columnar, and cubic structures. Pseudo-periodic parameter β and orientational parameter Θ(θ1, θ2, θ3) are identified to achieve the optimal goal of anisotropic mechanical properties. Parametric analysis is conducted to reveal the correlation between the customized spinodal structure and mechanical performance. Our work provides an integrated approach for morphological variation and tuning mechanical properties, paving the way for the design and development of customized functional materials similar to 3D spinodal membrane structures.

自旋分解法是一种很有前途的方法,它在探索超材料结构的设计空间方面展现出巨大潜力。然而,由于其参数化和可控性相对容易,旋光结构设计在很大程度上仍局限于规则结构。由于膜的特征要求在建模过程中采用自适应网格,因此有效预测三维旋膜结构的力学性能仍然是一项挑战。本文提出了一种具有定制机械性能的形态设计综合方法,该方法结合了旋光分解法和自适应粗粒度建模,可产生各种形态,如片状、柱状和立方体结构。确定了伪周期参数β和取向参数Θ(θ1、θ2、θ3),以实现各向异性力学性能的最佳目标。我们进行了参数分析,以揭示定制的旋光结构与机械性能之间的相关性。我们的工作为形态变化和调整机械性能提供了一种综合方法,为设计和开发类似三维旋膜结构的定制功能材料铺平了道路。
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引用次数: 0
An improved elastoplastic model for rocks and application to cyclic loading and unloading triaxial compression tests 改进的岩石弹塑性模型及其在循环加载和卸载三轴压缩试验中的应用
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-06-25 DOI: 10.1007/s10409-024-24053-x
Qiuxin Gu  (, ), Qiang Zhang  (, ), Yapeng Li  (, ), Peinan Wu  (, ), Guilei Han  (, )

The recoverable strain of rock is completely classified as elastic strain in the conventional elastic-plastic theory, which often results in poor agreement between theoretical and experimental curves. This work proposes an improved elastoplastic model of rock materials considering the evolutions of crack deformation and elastic modulus to better characterize the nonlinear mechanical behavior of rock in the post-peak stage. In this model, the recoverable strain is assumed to be a combination of elastic and crack strain, and the constitutive relationship between crack strain and rock stress is deduced. Based on the proposed assumption, the evolutions of the mechanical parameters including strength parameters, elastic, plastic, and crack deformation parameters versus the plastic strain and confining stress were investigated. The developed elastoplastic model was validated by comparing the theoretical values with the results of the triaxial cyclic loading and unloading test. The theoretical calculation results show a good agreement with the laboratory test, which indicates that the improved elastoplastic model can effectively reflect the nonlinear mechanical behavior of the rock materials. The research results are expected to provide a valuable reference for further understanding the evolution of rock crack deformation.

在传统的弹塑性理论中,岩石的可恢复应变完全被归类为弹性应变,这往往导致理论曲线与实验曲线之间的一致性较差。本研究提出了一种考虑裂缝变形和弹性模量演变的改进型岩石材料弹塑性模型,以更好地描述后峰值阶段岩石的非线性力学行为。在该模型中,可恢复应变被假定为弹性应变和裂缝应变的组合,并推导出裂缝应变和岩石应力之间的构成关系。根据提出的假设,研究了力学参数(包括强度参数、弹性、塑性和裂缝变形参数)随塑性应变和约束应力的变化。通过将理论值与三轴循环加载和卸载试验的结果进行比较,验证了所开发的弹塑性模型。理论计算结果与实验室试验结果吻合良好,这表明改进后的弹塑性模型能有效反映岩石材料的非线性力学行为。研究成果有望为进一步了解岩石裂缝变形的演变过程提供有价值的参考。
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Acta Mechanica Sinica
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