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Wavelet-based numerical methods and their applications in computational mechanics

Advances in Mechanics 2024年第3期54卷 427-476页

作者： yang b. Wang J. Liu X. Zhou Y. Feng Y. Key Laboratory of Mechanics on Disaster and Environment in Western China The Ministry of Education of China College of Civil Engineering and Mechanics Lanzhou University Lanzhou 730000 China

Mechanics research advances towards interdisciplinary research, cross-scale correlations, and extreme environmental impacts. Strong nonlinearity, strong discontinuity, significant multi-physics coupling, multiscale, and complex geometries have become common characteristics in solving various mechanics problems quantitatively. Long-term quantitative research indicates that one of the core ingredients for solving such problems effectively lies in constructing numerical methods that can accurately identify, locate, capture, and separate different scale characteristics especially small-scale local characteristics, under multiscale and nonlinearity circumstances. These numerical methods should also possess the capacity to isolate and decouple the large-scale lower-order approximation from the small-scale higher-order truncation error effectively. The intrinsic multiresolution analysis and time-frequency localization characteristics of wavelet theory, as well as the various selectivity of basis functions, align precisely with the demands of this mathematical feature. Therefore, they can provide fundamental theory and diverse approaches for developing efficient quantitative methods to address various complex mechanics problems. based on this fact, this paper provides a comprehensive discussion of wavelet theory, focusing on the theoretical framework of biorthogonal multi-resolution analysis and the construction method of frequently used wavelet bases. Furthermore, wavelet approximation of the function defined on a finite domain is presented in detail. The fundamental principles, development, merits, and shortcomings of different wavelet-based numerical methods are systematically elucidated. Several novel wavelet-based methods with outstanding performance developed recently are elaborated especially, and their applications in solving typical mechanics problems are reviewed. Meanwhile, the present paper also points out challenges encountered by the existing wavelet-based num

关键词： computational mechanics multiresolution analysis numerical methods wavelet adaptive algorithms wavelet theory

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Diffusion of Hydrogen in Amorphous NiCrFeSib Alloy

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Journal of Materials Science & Technology 1996年第1期12卷 15-18页

作者： Zuo, Y yang, b Xu, RS Dept. of Applied Chemistry Beijing University of Chemical Technology Beijing 100029 China

The diffusion of hydrogen in amorphous NiCrFeSib alloy has been studied by electrochemical method. In the temperature range of 20 similar to 50 degrees C, diffusion coefficient of hydrogen in the alloy follows the equation: D(cm(2)/s) = 9.27x10(-8) exp(-53.4 kJ/RT). At room temperature the diffusion coefficient D and the solubility C-0 are 6.125 x 10(-12) cm(2)/s and 0.007 mol/cm(3), respectively. When As2O3 is added into the cathodic solution or the charging current density is increased, the diffusion coefficient and solubility increase, and the diffusion activation energy decreases. The influence of amorphous structure on diffusion and solution of hydrogen is discussed.

关键词： Nickel alloys

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Analysis of ground vibrations due to underground trains by 2.5D finite/infinite element approach

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Earthquake Engineering and Engineering Vibration 2010年第3期9卷 327-335页

作者： Hsiao-Hui Hung Y. b. yang Center for Research on Earthquake Engineering （NCREE） Taipei 10617 Chinese Taipei Yunlin University of Science and Technology Douliu Yunlin 64002 Chinese Taipei

The 2.5D finite/infinite element approach is adopted to study wave propagation problems caused by underground moving trains. The irregularities of the near field, including the tunnel structure and parts of the soil, are modeled by the finite elements, and the wave propagation properties of the far field extending to infinity are modeled by the infinite elements. One particular feature of the 2.5D approach is that it enables the computation of the three-dimensional response of the half-space, taking into account the load-moving effect, using only a two-dimensional profile. Although the 2.5D finite/infinite element approach shows a great advantage in studying the wave propagation caused by moving trains, attention should be given to the calculation aspects, such as the rules for mesh establishment, in order to avoid producing inaccurate or erroneous results. In this paper, some essential points for consideration in analysis are highlighted, along with techniques to enhance the speed of the calculations. All these observations should prove useful in making the 2.5D finite/infinite element approach an effective one.

关键词： ground vibrations 2.5D finite/infinite element underground train wave number wave propagation

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THE SYNTHESIS OF NEW bENZODIAZEPINIC TRICYCLIC COMPOUNDS

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Chinese Chemical Letters 1995年第11期6卷 939-940页

作者： yang, b Yun, LH AMMS Inst Pharmacol & Toxicol Beijing 100850 Peoples R China

The new benzodiazepinic tricyclic compounds were synthesized by condensing o-phenylenediamine with 2-carbethoxycyclopentanone or 2-methyl-5-carbethoxycyclopentanone and the synthesic method was discussed.

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Microstructure and Mechanical Property of in-situ Al-Cu/TiC Composites

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Journal of Materials Science & Technology 1998年第3期14卷 255-258页

作者： Zhang, EL Zeng, SY yang, b Li, QC Ma, MZ Harbin Inst Technol Sch Mat Sci & Engn Harbin 150001 Peoples R China Jiamusi Univ Jiamusi 154002 Peoples R China

An approach named direct reaction synthesis (DRS) has been developed to fabricate particulate composites with an extremely fine reinforcement size. ID situ Al matrix composites were fabri-cated by DRS. Extensive analysis of the composites microstructure using SEM and TEM identify that the reinforcement formed during the DRS process is Ti carbide (TiC) particle, generally less than 1.0 μm. The reacted, semisolid extruded samples exhibit a homogeneous distribution of fine TiC particles in Al-Cu matrix, Mechanical property evaluation of the composites has revealed a very high tensile strength relative to the matrix alloy. Fractographic analysis indicates ductile failure although the ductility and strength are limited by the presence of coarse titanium aluminides (Al3Ti).

关键词： TiC Cu Figure Microstructure and Mechanical Property of in-situ Al-Cu/TiC Composites Al

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A two-layer simple baroclinic equation ocean model and its simulations of ocean currents in winter and summer

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Acta Oceanologica Sinica 1999年第2期18卷 279-291页

作者： yang b. Qian Y. Department of Atmospheric Science Nanjing University Nanjing 210093 China

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A novel prognostic prediction tool for postoperative recurrence in patients with stage Ⅱ/Ⅲ colon cancer

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Cancer Communications 2019年第1期39卷 466-468页

作者： Jian Ma burton b.yang Department of Urology Yantai Yuhuangding HospitalAffiliated with Qingdao University Medical CollegeYantai 264000ShandongP.R.China Sun-nybrook Research Institute TorontoON M4N 3M5Canada Department of Laboratory Medicine and Pathobiology University of TorontoTorontoON M4N 3M5Canada

Main text Colon cancer,one of the most common cancers in the world[1]and China[2,3],is typically diagnosed in its advanced ***,only a mediocre 20%-30%of these patients can have curative resection,but still,they are at high risk of recurrent disease[4].Given that recur-rent disease is especially associated with poor outcomes,optimizing the therapeutic strategy is ***-vant chemotherapy,a standard treatment for stage II/III colon cancer,is often accompanied by a significant increase in survival[5,6].Thus,timely adjuvant therapy is primordial for reducing postoperative recurrence *** assess the risk of postoperative recurrence,biomark-ers of greater prognostic essence than traditional clin-icopathology are urgently *** emerging role of circular RNAs(circRNAs),a newly discovered type of regulatory RNAs,has shed light on whether these mol-ecules can serve as biomarkers for predicting the post-operative recurrence of colon *** are characterized by a covalently closed loop that is capa-ble of regulating gene expression at the transcriptional or post-transcriptional levels[7].They can also bind to proteins and thereby regulate the intracellular signaling pathways[8,9].Recent reports have described the roles of circRNAs in the initiation and progression of cancer[10-12],and increasing evidence have demonstrated that circRNAs may serve as molecular biomarkers to facili-tate diagnostic and prognostic evaluations[13].However,the potential of circRNAs for diagnosing and prognosing colon cancer is less clear.

关键词： colon postoperative patients

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INVESTIGATION ON THE FORMATION MECHANISM OF TITANIUM CARbIDE PREPARED bY IN SITU REACTION IN MOLTEN ALUMINUM

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Acta Metallurgica Sinica(English Letters) 1997年第6期10卷 485-488页

作者： yang, b. Wang, Y.Q Zhang, J. Zhou, b.L. Inst of Metal Research Chinese Acad of Sciences Shenyang China

A novel technique in which TiC particulate are prepared by an in situ reaction in molten aluminum was introduced for producing TiC/Al composite. In order to reveal the characteristics of the technique, the formation mechanism of TiC particulate prepared by this method was studied. both theoretical and experimental results show that the TiC particulate is formed by a diffusion mechanism when the molar fraction of aluminum in the preforms is higher than 20.02%. On the contrary, the TiC particulate is formed by a solution-precipitation mechanism when the fraction of aluminum in the preforms is lower than 20.02%.

关键词： Aluminum metallurgy In situ processing Metallic matrix composites Titanium carbide

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SYNERGIC　EFFECT　OF　POLYMER　SUPPORTED　Pd－Pt　bIMETALLIC　CATALYSTS　ON　THE　HYDROGENATION　OF　NITROAROMATICS

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Chinese Chemical Letters 1996年第7期7卷 663-664页

作者： yang, b Yu, ZK Xu, Y Liao, SJ Yu, DR CHINESE ACAD SCI DALIAN INST CHEM PHYSDALIAN 116023PEOPLES R CHINA

s: Hydrogenation of nitroaromatics has been carried out under mild conditions using poly-N-vinyl-2-pyrrolidone supported Pd-Pt bimetallic catalysts (PdCl2 and H2PtCl6 as catalyst precursors).The catalytic activities of the bimetallic catalysts are significantly higher than those of themonometallic Pd or Pt catalyst especially in the case of the hydrogenation of substitutednitroaromatics due to a remarkable synergic effect. The ratio of Pd to Pt in the catalyst influences theactivity of the catalyst.

关键词： SELECTIVE HYDROGENATION

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Higher-Order Line Element Analysis of Potential Field with Slender Heterogeneities

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Computers, Materials & Continua 2016年第3期51卷 145-161页

作者： H.-S.Wang H.Jiang b.yang School of Optoelectronics beijing Institute of Technology Beijing 100081China Department of Mechanical and Aerospace Engineering University of Texas at Arlington ArlingtonTX 76019USA State Key Laboratory of Digital Manufacturing Equipment and Technology Huazhong University of Science and TechnologyWuhanHuBei 430074China

Potential field due to line sources residing on slender heterogeneities is involved in various areas,such as heat conduction,potential flow,and *** dipolar line sources are either prescribed or induced due to close interaction with other *** calculation requires a higher-order scheme to take into account the dipolar effect as well as net source *** the present work,we apply such a higher-order line element method to analyze the potential field with cylindrical slender *** a benchmark example of two parallel rods,we compare the line element solution with the boundary element solution to show the accuracy as a function in terms of rods ***,we use more complicated examples to demonstrate the capability of the line element technique.

关键词： Electrostatics Heat conduction Integral equation technique Line element method Mesh reduction method,Potential field problems

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