今日更新:International Journal of Solids and Structures 1 篇,Journal of the Mechanics and Physics of Solids 1 篇,Thin-Walled Structures 2 篇
A LATIN-PGD reduced order approximation dedicated to the solution of an optimal control based identification strategy for non-linear constitutive parameters
Mainak Bhattacharyya, Pierre Feissel
doi:10.1016/j.ijsolstr.2024.113189
拉丁- pgd降阶近似用于求解基于最优控制的非线性本构参数辨识策略
The objective of the research is to obtain deterministic identification of non-linear material parameters from full field measurements of kinematic data acquired from digital image correlation (DIC). The inverse problem involves proposal of the optimal control approach, considered to be a variant of modified constitutive relation error (MCRE), where the complete knowledge of the boundary conditions and the measurement data are not required. The optimisation problem essentially translates into minimisation of a quadratic functional under non-linear constraints. The non-linear optimisation is solved through the iterative large time increment (LATIN) method. A proper generalised decomposition (PGD) based reduced order approximation is also incorporated in this procedure for the sake of numerical frugality of the iterative method. Finally, a few numerical examples are depicted that establish the efficacy of the methodology.
该研究的目的是通过对数字图像相关(DIC)获得的运动数据进行现场测量,获得非线性材料参数的确定性识别。反问题涉及最优控制方法的提出,该方法被认为是修正本构关系误差(MCRE)的一种变体,其中不需要完全了解边界条件和测量数据。优化问题本质上转化为非线性约束下二次泛函的最小化。采用迭代大时间增量法求解非线性优化问题。为了使迭代方法的数值简化,在此过程中引入了适当的基于降阶近似的广义分解(PGD)。最后,通过数值算例验证了该方法的有效性。
Re-interpretation of the Weibull Strength Distribution of Polycrystalline Ceramics – Characteristic Strength and Fracture Toughness
Xiaozhi Hu, Yiu-Wing Mai
doi:10.1016/j.jmps.2024.106021
多晶陶瓷威布尔强度分布的再解释——特征强度和断裂韧性
A Weibull strength distribution pertinent to micro-grain structures can be measured for a polycrystalline ceramic after the influence of micro-cracks is sufficiently suppressed (or nearly all pre-existing processing defects are less than or much less than the average grain size). We outlined the conditions for measurements of this “intrinsic” micro-grain Weibull strength distribution, and showed the characteristic strength σch, supported by a reasonably high Weibull modulus M, could be used to estimate the fracture toughness KIC without testing specimens with man-made long cracks. Fine- and coarse-grained alumina ceramics, nano-grain dental ceramic (3Y-TZP), fine- and coarse-grained transparent spinel ceramics, and nano-sized specimens of single crystal silicon were analysed by the simple statistical fracture model proposed in this study. KIC predictions from the “intrinsic” micro-grain Weibull strength distributions compared well with direct measurements from the standard test methods using specimens with man-made long cracks.
对于多晶陶瓷,在充分抑制微裂纹的影响(或几乎所有预先存在的加工缺陷都小于或远小于平均晶粒尺寸)之后,可以测量出与微晶结构相关的威布尔强度分布。我们概述了测量这种“固有”微晶威布尔强度分布的条件,并表明由合理的高威布尔模量 M 支持的特征强度 σch 可用于在不测试具有人工长裂纹的试样情况下估算断裂韧性 KIC。通过本研究中提出的简单统计断裂模型,对细晶和粗晶氧化铝陶瓷、纳米晶牙科陶瓷(3Y-TZP)、细晶和粗晶透明尖晶石陶瓷以及纳米级单晶硅试样进行了分析。从“固有”微晶威布尔强度分布预测的 KIC 与使用具有人工长裂纹的试样通过标准测试方法直接测量的结果相比,吻合良好。
Seismic Design of Midspan Beam Connection of Chevron-Configured Special Concentrically Braced Frames
Qiyang Tan, Charles W. Roeder, Chen Wang, Dawn E. Lehman, Jeffrey W. Berman, Andrew D. Sen
doi:10.1016/j.tws.2024.112881
字形异形同心支撑框架跨中梁连接抗震设计
This paper reveals and addresses the misconception in capacity-based seismic design of midspan beam connections in chevron braced and multi-story X-braced frames. Under the capacity-based seismic design approach, the structural safety and reliability of concentrically braced frames are assumed to be ensured by significant yielding and inelastic deformation of fuse elements such as brace buckling, tensile yielding, and post-buckling deformation. However, under strong earthquakes, the inelastic structural response may not be as expected. In this study, parametric studies are performed to identify critical issues in the beam and midspan connection design of both chevron braced and multi-story X-braced frames. It is revealed that traditional design methods for midspan gusset connections, which rely solely on stress calculation, are insufficient for capturing the true seismic behavior, necessitating updated approaches that incorporate inelastic deformations. It is recommended to use vertical stiffeners at midspan beam connection where the beam web is thinner than the gusset plate to reduce inelastic deformations and ensure the integrity of the structure during large seismic events.
本文揭示并解决了基于能力的斜撑和多层斜撑框架跨中梁连接抗震设计中的误解。在基于能力的抗震设计方法下,同心支撑框架结构的安全性和可靠性是由支撑屈曲、拉伸屈服和屈曲后变形等融合单元的显著屈服和非弹性变形来保证的。然而,在强震作用下,结构的非弹性反应可能不像预期的那样。在本研究中,进行了参数化研究,以确定v形支撑和多层x形支撑框架的梁和跨中连接设计中的关键问题。研究表明,仅依靠应力计算的跨中扣板连接的传统设计方法不足以捕捉真实的地震行为,需要采用包含非弹性变形的更新方法。建议在梁腹板比扣板薄的跨中梁连接处采用竖向加劲筋,以减少非弹性变形,保证结构在大地震时的完整性。
Research on post-fire cold-formed steel back-to-back built-up columns with local buckling
Kai Luo, Haifeng Li, Jingjie Yang, Sibao Fang, Fengzuo Yan, Jinglei Yu, Xue Han, Yuye Xu, Xizhan Ning
doi:10.1016/j.tws.2024.112883
火灾后冷弯型钢背靠背组合柱局部屈曲研究
Cold-formed steel back-to-back built-up columns (CFS-BBC) are extensively used in lightweight steel structures because of their high load-bearing capacity and torsional stiffness. When the CFS structure suffers from a fire, some columns may still be elastic due to low-level internal force, so reusing them after the fire is very economical. However, research on evaluating the residual load-bearing capacity of CFS-BBC after fire exposure is still lacking. This study conducted experimental and finite element analyses on the post-fire local buckling behavior of CFS-BBC. Experimental research included shear tests of self-tapping screw fasteners after fire exposure and axial compression tests of post-fire CFS-BBC. Subsequently, a finite element model was developed and calibrated, and parametric analyses were carried out to extensively investigate the local buckling behavior of the CFS-BBC. Test results indicated that the ultimate load-bearing capacity of local buckling CFS-BBC was initially increased and then decreased with the heating-treatment temperatures. After exposure to 600°C, the load-bearing capacity was enhanced by within 10%. However, there was a 20% decrease in load-bearing capacity after exposure to 800°C. Based on the test and parametric analysis results, a predictive formula for the reduction factor of the post-fire local buckling load-bearing capacity of CFS-BBC was proposed. Furthermore, the coefficients in the Direct Strength Method (DSM) were modified to have a better prediction when the slenderness factor was relatively small.
冷弯型钢背对背组合柱(CFS-BBC)由于具有较高的承载力和抗扭刚度,在轻钢结构中得到了广泛的应用。当CFS结构发生火灾时,由于内力较低,一些柱仍然具有弹性,因此在火灾后重新使用它们是非常经济的。然而,关于CFS-BBC火灾后残余承载能力的评估研究仍然缺乏。本文对CFS-BBC火灾后的局部屈曲行为进行了试验和有限元分析。实验研究包括火灾后自攻螺钉紧固件剪切试验和火灾后CFS-BBC轴压试验。随后,建立并校准了有限元模型,并进行了参数化分析,广泛研究了CFS-BBC的局部屈曲行为。试验结果表明,随着热处理温度的升高,局部屈曲的CFS-BBC极限承载能力先升高后降低。暴露于600°C后,承载能力提高了10%以内。然而,暴露于800°C后,承载能力下降了20%。根据试验结果和参数分析结果,提出了CFS-BBC火灾后局部屈曲承载能力折减系数的预测公式。此外,对直接强度法(DSM)中的系数进行了修正,使其在长细系数较小时具有较好的预测效果。