Applied Mathematics-A Journal of Chinese Universities Series B最新文献

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Discrete Model of Plasticity and Failure of Crystalline Materials 结晶材料塑性与破坏的离散模型
IF 1 4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2021-03-11 DOI: 10.4236/AM.2021.123010
V. Busov
{"title":"Discrete Model of Plasticity and Failure of Crystalline Materials","authors":"V. Busov","doi":"10.4236/AM.2021.123010","DOIUrl":"https://doi.org/10.4236/AM.2021.123010","url":null,"abstract":"Within the framework of a discrete model of the nuclei of linear and planar defects, the variational principles of sliding in translational and rotational plasticity, fracture by separation (cleavage) and shear (shearing) in crystalline materials are considered. The analysis of mass transfer fluxes near structural kinetic transitions of slip bands into cells, cells into fragments of deformation origin, destruction by separation and shear for fractal spaces using fractional Riemann-Liouville derivatives, local and global criteria of destruction is carried out. One of the possible schemes of the crack initiation and growth mechanism in metals is disclosed. It is shown that the discrete model of plasticity and fracture does not contradict the known dislocation models of fracture and makes it possible to abandon the kinetic concept of thermofluctuation rupture of interatomic bonds at low temperatures.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81553155","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Two-Dimensional Isothermal and Newtonian Flow in Complex Geometries 复杂几何中的二维等温流和牛顿流
IF 1 4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2021-02-26 DOI: 10.4236/AM.2021.122008
Rômulo D. C. Santos, S. Gama
{"title":"Two-Dimensional Isothermal and Newtonian Flow in Complex Geometries","authors":"Rômulo D. C. Santos, S. Gama","doi":"10.4236/AM.2021.122008","DOIUrl":"https://doi.org/10.4236/AM.2021.122008","url":null,"abstract":"In this paper, we investigate the thermal and turbulent behaviour of incompressible Newtonian flow, by numerical simulation, combining two physical phenomena, namely, the heat-transfer by mixed convection and the onset of turbulence, around different isothermal complex geometries, using the immersed boundary method coupled with the virtual physical model, in order to model the presence of the isothermal body. Boundary conditions of the Dirichlet and Neumann type are implemented. For turbulence modelling, the Smagorinsky and Spalart-Allmaras models are used, for Reynolds and Richardson numbers ranging up to 5000 and 5, respectively. This work confirms that, downstream of the immersed body, the recirculation: 1) increases with the increase in the number of Reynolds, keeping the number of Richardson constant, and 2) decreases with the increase in the number of Richardson, preserving the number of Reynolds constant. It also confirms the generation of thermal plumes moving upwards. For Reynolds numbers in the order of a few hundred and Richardson numbers around 5, it is observed, for tandem cylinders, the vortex wake being established in the downstream region. Interactions within the vortex wake, with the shear layer separated from the downstream cylinder, create two vortices near the downstream cylinder. The shear layer separating from the upstream cylinder creates a vortex behind the downstream cylinder.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75261859","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Powers of Octonions 八元幂
IF 1 4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2021-02-09 DOI: 10.4236/AM.2021.122006
W. E. Ahmed
{"title":"Powers of Octonions","authors":"W. E. Ahmed","doi":"10.4236/AM.2021.122006","DOIUrl":"https://doi.org/10.4236/AM.2021.122006","url":null,"abstract":"As it is known, Binomial expansion, De Moivre’s formula, and Euler’s formula are suitable methods for computing the powers of a complex number, but to compute the powers of an octonion number in easy way, we need to derive suitable formulas from these methods. In this paper, we present a novel way to compute the powers of an octonion number using formulas derived from the binomial expansion.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72922610","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Existence of Periodic Solutions of a Class of n-Degree Polynomial Differential Equations* 一类n次多项式微分方程周期解的存在性
IF 1 4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2021-01-20 DOI: 10.4236/AM.2021.121004
N. Hua
{"title":"The Existence of Periodic Solutions of a Class of n-Degree Polynomial Differential Equations*","authors":"N. Hua","doi":"10.4236/AM.2021.121004","DOIUrl":"https://doi.org/10.4236/AM.2021.121004","url":null,"abstract":"This paper deals with a class of n-degree polynomial differential equations. By the fixed point theorem and mathematical analysis techniques, the existence of one (n is an odd number) or two (n is an even number) periodic solutions of the equation is obtained. These conclusions have certain application value for judging the existence of periodic solutions of polynomial differential equations with only one higher-order term.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77678686","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stochastic Model for the Spread of the COVID-19 Virus COVID-19病毒传播的随机模型
IF 1 4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2021-01-20 DOI: 10.4236/AM.2021.121003
Majdi Elhiwi
{"title":"Stochastic Model for the Spread of the COVID-19 Virus","authors":"Majdi Elhiwi","doi":"10.4236/AM.2021.121003","DOIUrl":"https://doi.org/10.4236/AM.2021.121003","url":null,"abstract":"The COVID-19 pandemic has become a great challenge to scientific, biological and medical research as well as to economic and social sciences. Hence, the objective of infectious disease modeling-based data analysis is to recover these dynamics of infectious disease spread and to estimate parameters that govern these dynamics. The random aspect of epidemics leads to the development of stochastic epidemiological models. We establish a stochastic combined model using numerical scheme Euler, Markov chain and Susceptible-Exposed-Infected-Recovery (SEIR) model. The combined SEIR model was used to predict how epidemics will develop and then to act accordingly. These COVID-19 data were analyzed from several countries such as Italy, Russia, USA and Iran.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88503035","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
On Some Dynamics of a Diffusive Lotka-Volterra Competition-Advection System with Lethal Boundary Conditions 具有致命边界条件的扩散Lotka-Volterra竞争-平流系统的若干动力学问题
IF 1 4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2021-01-01 DOI: 10.4236/AM.2021.124020
Dongxuan Zhao
{"title":"On Some Dynamics of a Diffusive Lotka-Volterra Competition-Advection System with Lethal Boundary Conditions","authors":"Dongxuan Zhao","doi":"10.4236/AM.2021.124020","DOIUrl":"https://doi.org/10.4236/AM.2021.124020","url":null,"abstract":"","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74930076","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Empirical Analysis of ARCH Family Models on Oil Price Fluctuations ARCH家族模型对油价波动的实证分析
IF 1 4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2021-01-01 DOI: 10.4236/AM.2021.124019
Shichang Shen
{"title":"Empirical Analysis of ARCH Family Models on Oil Price Fluctuations","authors":"Shichang Shen","doi":"10.4236/AM.2021.124019","DOIUrl":"https://doi.org/10.4236/AM.2021.124019","url":null,"abstract":"","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90235711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Mathematical Model for the Effect of Enzymes on Metabolism of Pharmacologically Active Substances 酶对药理活性物质代谢影响的数学模型
IF 1 4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2021-01-01 DOI: 10.4236/AM.2021.121001
D. Drew
{"title":"A Mathematical Model for the Effect of Enzymes on Metabolism of Pharmacologically Active Substances","authors":"D. Drew","doi":"10.4236/AM.2021.121001","DOIUrl":"https://doi.org/10.4236/AM.2021.121001","url":null,"abstract":"Addiction is a societal issue with many negative effects. Substances that cause addictive reactions are easily ingested and interact with some part of the neural pathway. This paper describes a mathematical model for the systemic level of a substance subject to degradation (via metabolism) and reversible binding to psychoactive sites. The model allows the determination of bound substance levels during the processing of a dose, and how the maximum level depends on system parameters. The model also allows the study of a particular periodic repetitive dosing described by a rapid ingestion if a dose is at constant intervals.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87850884","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
An Oracle Bone Inscription Detector Based on Multi-Scale Gaussian Kernels 基于多尺度高斯核的甲骨文检测方法
IF 1 4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2021-01-01 DOI: 10.4236/AM.2021.123014
Guoying Liu, Shuang Chen, Jing Xiong, Qingju Jiao
{"title":"An Oracle Bone Inscription Detector Based on Multi-Scale Gaussian Kernels","authors":"Guoying Liu, Shuang Chen, Jing Xiong, Qingju Jiao","doi":"10.4236/AM.2021.123014","DOIUrl":"https://doi.org/10.4236/AM.2021.123014","url":null,"abstract":"","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90531050","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
General Expressions for the Circular Constant π 圆常数π的一般表达式
IF 1 4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2021-01-01 DOI: 10.4236/AM.2021.121002
Chunyang Ma
{"title":"General Expressions for the Circular Constant π","authors":"Chunyang Ma","doi":"10.4236/AM.2021.121002","DOIUrl":"https://doi.org/10.4236/AM.2021.121002","url":null,"abstract":"From ancient times to the present, mathematicians have put forward many series expressions of the circular constant. Because of the importance of the circular constant to mathematical physics, the research on circular constant has never stopped. In this paper, the general function expression of the circular constant was given by studying the transient heat conduction equation. From the physical aspect of the derivation process of the circular constant expression, we can conclude that there is an infinite number of different series exist that can be used to express π.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81158527","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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