Pub Date : 2023-01-01DOI: 10.4208/aamm.oa-2021-0335
Xiaotong Li, J. Liao, Wei Liu null, Zhuo Xing
{"title":"Convergence and Stability of an Explicit Method for Autonomous Time-Changed Stochastic Differential Equations with Super-Linear Coefficients","authors":"Xiaotong Li, J. Liao, Wei Liu null, Zhuo Xing","doi":"10.4208/aamm.oa-2021-0335","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0335","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70495091","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.4208/aamm.oa-2021-0252
Jie Wei, Jianjun Wu, An Jiang null, Kun Wan
{"title":"Application of Lattice Boltzmann Method to Simulate Forest Edge","authors":"Jie Wei, Jianjun Wu, An Jiang null, Kun Wan","doi":"10.4208/aamm.oa-2021-0252","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0252","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494754","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.4208/aamm.oa-2022-0147
Zhengzheng Yan, Rongliang Chen, Chao Wang, Lei Xu null, Jingzhi Li
{"title":"Parallel Domain Decomposition-Based Solver for the Simulation of Flow over an Ahmed Reference Model","authors":"Zhengzheng Yan, Rongliang Chen, Chao Wang, Lei Xu null, Jingzhi Li","doi":"10.4208/aamm.oa-2022-0147","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0147","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494848","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.4208/aamm.oa-2021-0201
D. Dong, Nguyen Thi Hong Phuong, V. H. Nam, L. Ly, N. V. Tien, V. M. Duc, Tran Quang Minh, Vu Tho Hung null, N. Giang
. The main aim of this paper is to present an analytical approach on the postbuckling for torsionally loaded sandwich carbon nanotube (CNT) reinforced cylindrical shells with the auxetic core. The considered shells consist of three layers, external and internal CNT reinforced layers, and the auxetic lattice core made by isotropic material. The homogenization model for honeycomb auxetic lattice core is utilized, and the equilibrium equations are formulated based on the nonlinear Donnell’s thin shell theory with von K´arm´an geometrical nonlinearities. The three terms of deflection are considered, the Airy’s stress function and Galerkin’s method are utilized, the explicit expression of critical buckling of torsionally loaded shells and load-deflection expression of postbuckling states are achieved. The effects of two carbon nanotube reinforced layers, the auxetic core layer, the volume fraction of carbon nanotube on the torsional buckling behavior are examined and remarked.
． 本文的主要目的是提出一种分析含碳纳米管(CNT)夹芯抗扭增强圆柱壳后屈曲的方法。所考虑的外壳由三层组成，外部和内部碳纳米管增强层，以及由各向同性材料制成的auxetic晶格核。基于非线性Donnell薄壳理论，结合von K ' arm '和几何非线性，建立了蜂窝消声晶格核的均匀化模型，并建立了平衡方程。考虑了三个挠度项，利用Airy应力函数和Galerkin方法，得到了扭转载荷下壳体临界屈曲的显式表达式和屈曲后状态的载荷-挠度表达式。考察了两层碳纳米管增强层、失活核心层和碳纳米管体积分数对扭转屈曲性能的影响。
{"title":"An Analytical Approach for Nonlinear Buckling Analysis of Torsionally Loaded Sandwich Carbon Nanotube Reinforced Cylindrical Shells with Auxetic Core","authors":"D. Dong, Nguyen Thi Hong Phuong, V. H. Nam, L. Ly, N. V. Tien, V. M. Duc, Tran Quang Minh, Vu Tho Hung null, N. Giang","doi":"10.4208/aamm.oa-2021-0201","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0201","url":null,"abstract":". The main aim of this paper is to present an analytical approach on the postbuckling for torsionally loaded sandwich carbon nanotube (CNT) reinforced cylindrical shells with the auxetic core. The considered shells consist of three layers, external and internal CNT reinforced layers, and the auxetic lattice core made by isotropic material. The homogenization model for honeycomb auxetic lattice core is utilized, and the equilibrium equations are formulated based on the nonlinear Donnell’s thin shell theory with von K´arm´an geometrical nonlinearities. The three terms of deflection are considered, the Airy’s stress function and Galerkin’s method are utilized, the explicit expression of critical buckling of torsionally loaded shells and load-deflection expression of postbuckling states are achieved. The effects of two carbon nanotube reinforced layers, the auxetic core layer, the volume fraction of carbon nanotube on the torsional buckling behavior are examined and remarked.","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494333","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.4208/aamm.oa-2021-0345
Sohail Ahmed, Hang Xu null, Qiang Sun
{"title":"Coiflet Wavelet-Homotopy Solutions to Bio-Thermal Convection in a Square Cavity","authors":"Sohail Ahmed, Hang Xu null, Qiang Sun","doi":"10.4208/aamm.oa-2021-0345","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0345","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.4208/aamm.oa-2021-0314
Tiange Wang null, Hok Shing Wong
. Color image segmentation is crucial in image processing and computer vision. Most traditional segmentation methods simply regard an RGB color image as the direct combination of the three monochrome images and ignore the inherent color structures within channels, which contain some key feature information of the image. To better describe the relationship of color channels, we introduce a quaternion-based regularization that can reflect the image characteristics more intuitively. Our model combines the idea of the Mumford-Shah model-based two-stage segmentation method and the Saturation-Value Total Variation regularization for color image segmentation. The new strategy first extracts features from the color image and then subdivides the image in a new color feature space which achieves better performance than methods in RGB color space. Moreover, to accelerate the optimization process, we use a new primal-dual algorithm to solve our novel model. Numerical results demonstrate clearly that the performance of our proposed method is excellent.
{"title":"A Two-Stage Color Image Segmentation Method Based on Saturation-Value Total Variation","authors":"Tiange Wang null, Hok Shing Wong","doi":"10.4208/aamm.oa-2021-0314","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0314","url":null,"abstract":". Color image segmentation is crucial in image processing and computer vision. Most traditional segmentation methods simply regard an RGB color image as the direct combination of the three monochrome images and ignore the inherent color structures within channels, which contain some key feature information of the image. To better describe the relationship of color channels, we introduce a quaternion-based regularization that can reflect the image characteristics more intuitively. Our model combines the idea of the Mumford-Shah model-based two-stage segmentation method and the Saturation-Value Total Variation regularization for color image segmentation. The new strategy first extracts features from the color image and then subdivides the image in a new color feature space which achieves better performance than methods in RGB color space. Moreover, to accelerate the optimization process, we use a new primal-dual algorithm to solve our novel model. Numerical results demonstrate clearly that the performance of our proposed method is excellent.","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":"31 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70495009","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.4208/aamm.oa-2021-0250
Chunhua Zhang, Z. Gao, Sa Li
{"title":"Edge Detectors Based on Pauta Criterion with Application to Hybrid Compact-WENO Finite Difference Scheme","authors":"Chunhua Zhang, Z. Gao, Sa Li","doi":"10.4208/aamm.oa-2021-0250","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0250","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44645903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.1007/978-3-031-31423-0
F. Chouly, P. Hild, Y. Renard
{"title":"Finite Element Approximation of Contact and Friction in Elasticity","authors":"F. Chouly, P. Hild, Y. Renard","doi":"10.1007/978-3-031-31423-0","DOIUrl":"https://doi.org/10.1007/978-3-031-31423-0","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":"87 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83923628","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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