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Nonlinear damage model for seismic damage assessment of reinforced concrete frame members and structures

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Acta Mechanica Sinica 2018年第5期34卷 949-962页

作者： Shuijing xiao Longhe Xu xiao Lu School of Civil Engineering Beijing Jiaotong UniversityBeijing 100044China

A nonlinear damage model based on the combination of deformation and hysteretic energy and its validation with experiments are ***,a combination parameter is defined to consider the mutual effect of deformation and hysteretic energy for different types of components in different loading *** reinforced concrete (RC) columns are simulated and analyzed using the nonlinear damage *** results indicate that the damage evolution evaluated by the model agrees well with the experimental ***,the seismic damage evolution of a six-story RC frame was analyzed,revealing four typical failure modes according to the interstory drift distribution of the structure;the damage values calculated using the nonlinear damage model agree well with the four typical failure modes.

关键词： RC frame structure Nonlinear damage model Damage evolution Combination parameter Hysteretic energy

The application of nonlocal theory method in the coarse-grained molecular dynamics simulations of long-chain polylactic acid

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Acta Mechanica Solida Sinica 2017年第6期30卷 630-637页

作者： Xiongjun Li Tan xiao Neng xiao Architecture and Civil Engineering Institute Guangdong University of Petrochemical Technology School of Engineering Sun Yat-sen University School of Mechanical Engineering Purdue University

The micro-capsules used for drug delivery are fabricated using polylactic acid（PLA）,which is a biomedical material approved by the FDA.A coarse-grained model of long-chain PLA was built,and molecular dynamics（MD）simulations of the model were performed using a MARTINI force *** on the nonlocal theory,the formula for the initial elastic modulus of polymers considering the nonlocal effect was derived,and the scaling law of internal characteristic length of polymers was proposed,which was used to adjust the cut-off radius in the MD simulations of *** results show that the elastic modulus should be computed using nonlinear *** nonlocal effect has a certain influence on the simulation results of *** to the scaling law,the cut-off radius was determined and applied to the MD simulations,the results of which reflect the influence of the molecular weight change on the elastic moduli of PLA,and are in agreement with the experimental outcome.

关键词： Polylactic acid Molecular dynamics simulation Nonlocal theory Scaling law Cut-off radius

Notes on micro-continua exhibiting quantum effects

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Applied Mathematics and Mechanics(English Edition) 2020年第10期41卷 1597-1598页

作者： Heng xiao College of Mechanics and Construction Engineering MOE Lab of Disaster Forecast and Control in EngineeringJinan UniversityGuangzhou 510632China

1 Uniqueness concerning exact linearization Most recently[1–2],the Schr¨odinger equation governing the quantum effects has been shown to be derivable as exact linearization from the following nonlinear field equatio... 详细信息

关键词： quantum exact linearization

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爆炸切割网络传爆中的间隙与角度效应

火工品 2025年第1期 37-43页

作者：周晓鹏姜勇袁航中国船舶集团有限公司第七一三研究所河南郑州450015 河南省水下智能装备重点实验室河南郑州450015

为研究爆炸切割网络中传爆节点处传爆能力的关键影响因素,通过改变切割索对传爆药柱的传爆间隙进行了平板传爆试验,将试验结果结合仿真分析确定了JO-11C传爆药柱的仿真材料参数,并进一步分析了传播角度对传爆能力的影响。研究结果表明:... 详细信息

为研究爆炸切割网络中传爆节点处传爆能力的关键影响因素,通过改变切割索对传爆药柱的传爆间隙进行了平板传爆试验,将试验结果结合仿真分析确定了JO-11C传爆药柱的仿真材料参数,并进一步分析了传播角度对传爆能力的影响。研究结果表明:随着传爆间隙的增加,传爆能力下降,切割索对传爆药柱的最大传爆间隙区间为2.0~2.5 mm;同时,传爆角度的增大能够显著提高传爆能力。本研究为爆炸切割网络的传爆性能研究以及提高武器系统的可靠性提供了参考。

关键词：爆炸切割网络传爆间隙传爆角度传爆药柱仿真分析

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四川地区藏羌刺绣图案特征的比较研究

丝绸 2025年第1期62卷 110页

作者：肖清芮刘海燕四川师范大学服装与设计艺术学院成都610000

四川地区是藏族与羌族的重要聚居地之一,其古老而深厚的历史底蕴孕育了丰富多彩的服饰文化,刺绣艺术作为藏羌服饰文化的重要组成部分,其多样的刺绣图案承载着深厚的民族文化。文章以四川地区藏族和羌族的刺绣图案为研究对象,通过对已收... 详细信息

四川地区是藏族与羌族的重要聚居地之一,其古老而深厚的历史底蕴孕育了丰富多彩的服饰文化,刺绣艺术作为藏羌服饰文化的重要组成部分,其多样的刺绣图案承载着深厚的民族文化。文章以四川地区藏族和羌族的刺绣图案为研究对象,通过对已收集四川地区藏羌刺绣图案资料的整理,进行文献调查和对比分析,从刺绣图案分布、图案题材、构成特点、色彩设计四个方面对两者的刺绣图案特征进行分析总结。研究结果表明,四川地区藏族和羌族的刺绣图案在图案分布位置、图案题材、图案构成形式等方面极其相似,在刺绣图案的色彩方面却存在一定差异。而两者的共性与差异都与两个民族的文化源头、生活环境、宗教信仰、艺术风格等因素有关。

关键词：四川地区藏族羌族刺绣图案特征影响因素

Sustainable value-added C3 chemicals from glycerol transformations:A mini review for heterogeneous catalytic processes

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Chinese Journal of Chemical Engineering 2019年第7期27卷 1536-1542页

作者： Yuan Wang Yang xiao Guomin xiao Davidson School of Chemical Engineering Purdue UniversityWest LafayetteIN 47907-2100USA School of Chemistry and Chemical Engineering Southeast UniversityNanjing 211189China

It is of importance to convert glycerol,the primary by-product from biodiesel manufacturing,to various valuable C3 chemicals,such as acrolein via dehydration,lactic acid,1,3-dihydroxyacetone via oxidation,and 1,3-propanediol,allyl alcohol via *** compared to petroleum-based resources,C3 chemicals from glycerol provide a benign,sustainable and atomically economic *** heterogeneous catalysts have been designed,prepared and tested for these *** recent five years,great progress,including high yields to target products over appropriate catalysts,insight into reaction mechanism and network,has been *** present review systematically covers recent research progress on sustainable C3 chemical production from catalytic glycerol *** hope that it will benefit future research on transformations of glycerol as well as other polyols.

关键词： Catalysis Biodiesel Glycerol Sustainable C3 compounds Glycerol oxidation Glycerol hydrogenolysis Glycerol dehydration

Quantum enigma hidden in continuum mechanics

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Applied Mathematics and Mechanics(English Edition) 2017年第1期38卷 39-56页

作者： Heng xiao Shanghai Institute of Applied Mathematics and Mechanics Shanghai UniversityShanghai 200072China

It is reported that there exist deformable media which display quantum effects just as quantum entities do. As such, each quantum entity usually treated as a point particle may be represented by a deformable medium, the dynamic behavior of which is prescribed by four dynamic state variables, including mass density, velocity, internal pressure, and intrinsic angular momentum. In conjunction with the finding of the characteristic equation characterizing the physical nature of such media, it is found that a complex field quantity may be introduced to uncover a perhaps unexpected correlation, i.e., the governing dynamic equations for such media may be exactly reduced to the SchrSdinger equation, from which the closed-form solutions for all the four dynamic state variables can be obtained. It turns out that this complex field quantity is just the wavefunction in the SchrSdinger equation. Moreover, the dynamic effects peculiar to spin are derivable as direct consequences. It appears that these results provide a missing link in quantum theory, in the sense of disclosing the physical origin and nature of both the wavefunction and the wave equation. Now, the inherent indeterminacy in quantum theory may be rendered irrelevant. The consequences are explained for certain long-standing fundamental issues.

关键词： quantum entity deformable medium nonlinear dynamic equation new interpretation Schr¨odinger equation

Deformable micro-continua in which quantum mysteries reside

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Applied Mathematics and Mechanics(English Edition) 2019年第12期40卷 1805-1830页

作者： Heng xiao Shanghai Institute of Applied Mathematics & Mechanics College of Mechanics and Engineering Science Shanghai University College of Mechanics and Construction Engineering MOE Lab of Disaster Forecast and Control in Engineering Jinan University

Deformable micro-continua of highly localized nature are found to exactly exhibit all quantum effects commonly known for quantum entities at microscopic *** every instant,the spatial configuration of each such micro-continuum is prescribed by four spatial distributions of the mass,the velocity,the internal stress,and the intrinsic angular *** deformability features of such micro-continua in response to all configuration changes are identified with a constitutive equation that specifies how the internal stress responds to the mass density *** is shown that these microcontinua are endowed with the following unique response features:(i)the coupled system of the nonlinear field equations governing their dynamic responses to any given force and torque fields is exactly reducible to a linear dynamic equation governing a complex field variable;(ii)this fundamental dynamic equation and this complex field variable are just the Schrodinger equation and the complex wave function in quantum theory;and,accordingly,(iii)the latter two and all quantum effects known for quantum entities are in a natural and unified manner incorporated as the inherent response features of the micro-continua discovered,thus following objective and deterministic response patterns for quantum entities,in which the physical origins and meanings of the wave function and the Schrodinger equation become self-evident and,in particular,any probabilistic indeterminacy becomes irrelevant.

关键词： quantum entity micro-continuum Hencky strain-energy density nonlinear dynamic equation exact linearization Schrodinger equation deterministic pattern

THE MAXIMUM PRINCIPLE FOR PARTIALLY OBSERVED OPTIMAL CONTROL OF FORWARD-BACKWARD STOCHASTIC SYSTEMS WITH RANDOM JUMPS

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Journal of Systems Science & Complexity 2011年第6期24卷 1083-1099页

作者： Hua xiao School of Mathematics and Statistics Shandong University at Weihai Weihai 264209 China School of Mathematics Shandong University Jinan 250100 China

This paper studies the problem of partially observed optimal control for forward-backward stochastic systems which are driven both by Brownian motions and an independent Poisson random measure. Combining forward-backward stochastic differential equation theory with certain classical convex variational techniques, the necessary maximum principle is proved for the partially observed optimal control, where the control domain is a nonempty convex set. Under certain convexity assumptions, the author also gives the sufficient conditions of an optimal control for the aforementioned optimal optimal problem. To illustrate the theoretical result, the author also works out an example of partial information linear-quadratic optimal control, and finds an explicit expression of the corresponding optimal control by applying the necessary and sufficient maximum principle.

关键词： Forward-backward stochastic differential equations maximum principle partially observed optimal control random jumps.