今日更新:International Journal of Solids and Structures 1 篇,Journal of the Mechanics and Physics of Solids 1 篇,International Journal of Plasticity 1 篇,Thin-Walled Structures 2 篇
Theoretical solution for 3D transient thermal–hydraulic–mechanical coupled axisymmetric problem and its application to casing–cement–formation system
Lianzhi Yang, Zijian Zhang, Jiyun Shen, Hongfei Ji
doi:10.1016/j.ijsolstr.2024.113197
三维瞬态热-水-力耦合轴对称问题的理论解及其在套管-水泥-地层系统中的应用
In geomechanics and geoscience, the study of coupled processes is of paramount importance. This paper presents a theoretical solution, grounded in Biot’s theory, for the 3D transient thermal–hydraulic–mechanical (THM) coupled axisymmetric problem. Mathematical techniques such as the Laplace transform, Fourier expansion and the stress function method are employed to derive the THM solution. The Laplace transform is employed to manage time-dependent terms in transient equations, Fourier expansion is used to meet boundary conditions and stress functions establish connections between the stress field, seepage field, and temperature field. The validity of the THM solution is subsequently confirmed, demonstrating its accuracy. The theoretical solution is then applied to a casing–cement–formation system, a crucial structure frequently encountered in the oil industry. Given that the casing is generally considered impermeable, particular focus is placed on the boundary conditions at the casing–cement interface. A modeling of casing–cement–formation system is then conducted to show the THM coupling effect due to the temperature–pressure load. Furthermore, contour plots are employed to analyze the response of the system to linear loads.
在地质力学和地球科学中,耦合过程的研究是至关重要的。本文以Biot理论为基础,提出了三维瞬态热-液-力耦合轴对称问题的理论解。采用拉普拉斯变换、傅立叶展开和应力函数法等数学方法推导了THM解。利用拉普拉斯变换对瞬态方程中的时变项进行处理,利用傅立叶展开满足边界条件,利用应力函数建立应力场、渗流场和温度场之间的联系。随后证实了THM解决方案的有效性,证明了其准确性。然后将理论解决方案应用于套管-水泥-地层系统,这是石油工业中经常遇到的关键结构。考虑到套管通常被认为是不透水的,特别关注的是套管-水泥界面的边界条件。然后对套管-水泥-地层系统进行了建模,以显示温度-压力载荷引起的THM耦合效应。此外,采用等高线图分析了系统在线性荷载作用下的响应。
Mechanistic Cohesive Zone Laws for Fatigue Cracks: Nonlinear Field Projection and In Situ Synchrotron X-Ray Diffraction (S-XRD) Measurements
H. Tran, D. Xie, P.K. Liaw, H.B. Chew, Y.F. Gao
doi:10.1016/j.jmps.2024.106010
疲劳裂纹的机械粘接区规律:非线性场投影和原位同步加速器x射线衍射(S-XRD)测量
A weak interface model with a predefined traction-separation relationship (denoted as the cohesive zone law), when embedded in a bulk solid, is oftentimes adopted to simulate the crack advancement and thus determine the crack resistance under either monotonic or cyclic loading conditions. To-date, various types of loading-unloading irreversibility and hysteresis are only presumed in the cohesive zone law for fatigue crack growth, but without any direct determination from experimental measurements. Using a fine-grained Mg alloy and synchrotron X-ray diffraction (S-XRD) measurements with a sub-millimeter beam, in situ lattice strain mapping can be obtained with the needed resolution to cover both the “messy” process zone as modeled by the cohesive zone law and the “clean” process zone caused by plastic deformation. We extend our previously developed nonlinear field projection method, and create trial elastic fields from the S-XRD-measured elastic strain fields at different loading levels when choosing the fully unloaded state as the new reference. From the Maxwell-Betti's reciprocal theorem, we reconstruct a mechanistic cohesive zone law for fatigue cracks, where the reciprocity gap is governed by the residual stress field at the fully unloaded state. Combining our inverse approach with S-XRD measurements, it is discovered that the fatigue-crack cohesive zone exhibits a bilinear unloading and reloading behavior that is distinctively different than all prior works. This particular form suggests the origin of irreversibility be primarily from crack-surface oxidation and the hysteresis from dislocation plasticity in surrounding grains.
嵌入块体时,通常采用具有预先定义的牵引-分离关系的弱界面模型(称为黏聚区定律)来模拟裂纹的发展,从而确定单调或循环加载条件下的裂纹抗力。迄今为止,疲劳裂纹扩展的粘聚区规律中仅假定了各种类型的加载-卸载不可逆性和迟滞性,而没有从实验测量中直接确定。利用细晶镁合金和亚毫米光束同步加速器x射线衍射(S-XRD)测量,可以获得所需分辨率的原位点阵应变映射,以覆盖由内聚区定律模拟的“凌乱”过程区和由塑性变形引起的“干净”过程区。我们扩展了已有的非线性场投影方法,在选择完全卸载状态作为新的参考时,从s - xrd测量的不同加载水平下的弹性应变场中创建了试验弹性场。本文从Maxwell-Betti互易定理出发,重构了疲劳裂纹的机械内聚区规律,其中互易间隙由完全卸载状态下的残余应力场控制。将我们的反方法与S-XRD测量相结合,发现疲劳裂纹黏聚区表现出双线性卸载和再加载行为,这与所有先前的研究结果明显不同。这种特殊的形式表明,不可逆性的来源主要是裂纹表面氧化和周围晶粒位错塑性的迟滞。
Integrated modeling framework for the interactions of plastic deformation, magnetic fields, and electrical circuits: Theory and applications to physics-informed real-time material monitoring
Young-Dae Shim, Changhyeon Kim, Jihun Kim, Dae-Hyun Yoon, WooHo Yang, Eun-Ho Lee
doi:10.1016/j.ijplas.2024.104212
塑性变形、磁场和电路相互作用的集成建模框架:物理信息实时材料监测的理论和应用
This study aims to develop a thermodynamic modeling framework for the electromagnetic-plastic deformation response coupled with circuit analysis. To accomplish this objective, we derived the thermodynamic balance laws for materials exposed to electromagnetic fields while undergoing plastic deformation. The balance laws serve as the foundation for refining the connection between the plastic deformation and electrical conductivity of materials. This study also modeled the relationship between dislocation density and Matthiessen's rule. The constitutive equations were subsequently implemented into a crystal plasticity model, thereby calibrating and validating the model. The derived modeling framework considers the 1st and 2nd laws of thermodynamics. The model was then transformed into a circuit model for a monitoring system by formulating equations to analyze the changes in material impedance resulting from the evolution of plastic deformation. This lays the groundwork for creating a monitoring system featuring a real-time prediction algorithm designed to assess material properties during manufacturing processes, thereby enhancing quality control and productivity. This monitoring system is used to monitor all materials in production lines of factories, where full-field measurement methods have limitations. Numerical simulations and experiments were conducted to validate the model and system performance. The results of these validation tests demonstrate that the model not only accurately predicts the relationship between electromagnetic fields and plastic deformation at the material level but also provides practical applicability within the realm of circuit theory, thus making it suitable for real-world system implementation.
本研究旨在建立一个电磁塑性变形响应的热力学建模框架,并结合电路分析。为了实现这一目标,我们推导了材料在电磁场作用下发生塑性变形时的热力学平衡定律。这些平衡规律是细化材料塑性变形与导电性之间关系的基础。本研究还建立了位错密度与Matthiessen法则之间的关系模型。随后将本构方程应用到晶体塑性模型中,从而对模型进行校准和验证。推导的建模框架考虑了热力学第一和第二定律。通过建立方程,将该模型转化为监测系统的电路模型,分析了塑性变形演化导致的材料阻抗变化。这为创建一个监测系统奠定了基础,该系统具有实时预测算法,旨在评估制造过程中的材料特性,从而提高质量控制和生产力。该监控系统用于监控工厂生产线上的所有材料,而现场测量方法具有局限性。通过数值仿真和实验验证了该模型和系统的性能。验证试验结果表明,该模型不仅在材料层面上准确地预测了电磁场与塑性变形之间的关系,而且在电路理论领域具有实际的适用性,适合于实际系统的实现。
New interaction ratios and modification factors for combined web-crippling and bending behaviour of cold-formed steel unlipped channel bearer sections in panelised construction under stud support removal scenarios
Sohini Mishra, Daniel P. McCrum
doi:10.1016/j.tws.2024.112843
在螺柱支撑移除的情况下,板式结构中冷弯型钢无唇槽承载截面腹板破坏和弯曲行为的新相互作用比率和修正因子
Cold-formed steel (CFS) unlipped channel sections are the most commonly used bearers in panelised buildings, supporting gravity loads from the floor panels. The bearers are typically laterally retrained at floor joist locations and vertically supported on CFS-lipped channel studs. Existing web-crippling and combined web-crippling-bending tests of bearers employ laterally and torsionally stable test setups formed by two identical channel sections connected either toe to toe in a box-beam arrangement or back-to-back and three-point bending static loading applied through the section's shear center (i.e., the loading induces no torsional moment to the sample), without employing any lateral restraint to the sample. No research has been conducted thus far to investigate CFS unlipped channel bearer sections' combined web-crippling and bending behaviour in stud(s) or single panel vertical support removal static loading scenarios. This research experimentally and analytically investigated the combined web-crippling and bending behaviour of CFS unlipped channel bearers with structural arrangements similar to CFS panelised buildings i.e., intermediate lateral restraints (representing floor-joists) and simply supported boundary conditions under stud vertical support removal static loading scenarios. The static loading circumstances consist of one stud (Case I), two studs (Case II), and three studs/single panel (Case III) vertical support removal. Twenty-four industry-standard bearers were tested with lateral restraint under Case I. Ninety-six parametric studies were conducted with finite element analysis models validated by testing under Cases I, II, and III. Results showed the bearers failed predominantly due to web-crippling with the interior one flange (IOF) and end one flange (EOF) mechanism being the most critical under Case I and III, respectively. Five different web-crippling equations in literature and web-crippling-bending interaction equations in Eurocode 3 (EC3) and AISI S100 were evaluated considering the above five different web-crippling capacities (developed based on static loading) and torsional moments (which the design codes do not mention). It was revealed that the EC3 and AISI interaction equations are unconservative when the torsional moment is excluded and over-conservative when the torsional moment is included. New characteristic nominal web-crippling-bending interaction ratios at IOF and modification factors to nominal EOF web-crippling capacities are proposed for the bearers' efficient design under stud(s) or single-panel vertical support removal static loading scenarios.
冷弯型钢(CFS)无唇槽钢截面是板式建筑中最常用的承重体,用于支撑来自楼板的重力荷载。托架通常在地板托梁位置进行横向再训练,并在cfs唇形通道螺柱上进行垂直支撑。现有的腹板断裂和复合腹板断裂弯曲试验采用横向和扭转稳定试验装置,由两个相同的通道部分组成,在箱梁布置中首尾相连,或通过截面的剪切中心施加背靠背的三点弯曲静载荷(即加载不会对样品产生扭转力矩),而不对样品施加任何横向约束。到目前为止,还没有研究CFS无唇通道承载截面在螺柱或单板垂直支撑拆除静载荷情况下的联合腹板破坏和弯曲行为。本研究通过实验和分析的方法研究了CFS无唇通道承载体在去除柱钉垂直支撑的静态载荷情况下,与CFS板式建筑类似的结构布置,即中间横向约束(代表楼板托)和简支边界条件下的腹板破坏和弯曲行为。静态加载情况包括一个螺柱(情况I),两个螺柱(情况II)和三个螺柱/单面板(情况III)垂直支撑拆除。在案例I下,对24名行业标准承载者进行了横向约束测试。96项参数研究采用了通过案例I、II和III测试验证的有限元分析模型。结果表明,在第一种和第三种情况下,内单翼缘(IOF)和末端单翼缘(EOF)机制分别是最关键的。考虑上述五种不同的网页破坏能力(基于静荷载)和扭转力矩(设计规范未提及),对文献中五种不同的网页破坏方程以及欧洲规范3 (EC3)和AISI S100中的网页破坏-弯曲相互作用方程进行了评估。结果表明,EC3和AISI相互作用方程在不考虑扭转矩时为非保守方程,在考虑扭转矩时为过保守方程。为了在柱钉或单板垂直支撑拆除静态载荷情况下,支座的有效设计,提出了新的特性标称EOF断网-弯曲相互作用比和标称EOF断网能力的修正因子。
Machine learning accelerated design of lattice metamaterials for customizable energy absorption
Miao Zhao, Xinwei Li, Xi Yan, Naixun Zhou, Bowen Pang, Bei Peng, Zhi Zeng
doi:10.1016/j.tws.2024.112845
机器学习加速设计可定制能量吸收的晶格超材料
Lattice metamaterials have received extensive research interest for their superior mechanical properties. However, because of the nonlinear relationship between structure and mechanical responses, designing lattice metamaterials with optimal plastic response for energy absorption still remains a challenge. This study proposes a novel convolutional neural network (CNN) accelerated design approach for lattice metamaterials with customized mechanical properties. The CNN input datasets consist of pseudo-randomized strut geometries and their respective strain-stress curves that are simulated. The trained CNN shows the capabilities of accurate prediction and exploration of new lattice metamaterials that surpass the performance of the original input datasets. From the extended datasets, a new lattice metamaterial with the highest specific energy absorption is obtained, which also surpasses other lattice metamaterials reported in the literature. The new lattice metamaterial exhibits a stretch-dominated failure, with stresses distributed equally in the vertically aligned regions. These regions are supported by the adjacent unit cells, which avoids large expansion and further strengthens load-bearing capability during compression. Overall, the proposed design approach is based on a data-driven model without relying on the complex theory of solid mechanics, which is extendable for numerous new engineering applications.
晶格超材料因其优异的力学性能而受到广泛的研究。然而,由于结构与力学响应之间的非线性关系,设计具有最佳吸能塑性响应的晶格超材料仍然是一个挑战。本研究提出了一种新颖的卷积神经网络(CNN)加速设计方法,用于具有定制力学性能的晶格超材料。CNN输入数据集由模拟的伪随机结构及其相应的应变-应力曲线组成。训练后的CNN显示出准确预测和探索新晶格超材料的能力,超过了原始输入数据集的性能。从扩展的数据集中,获得了一种比能吸收最高的新型晶格超材料,也超过了文献中报道的其他晶格超材料。新的晶格超材料表现出拉伸为主的破坏,应力均匀分布在垂直排列的区域。这些区域由相邻的单元格支撑,避免了大的膨胀,进一步增强了压缩时的承载能力。总体而言,所提出的设计方法基于数据驱动模型,而不依赖于复杂的固体力学理论,可扩展到许多新的工程应用。