Pub Date : 2022-12-31DOI: 10.2140/memocs.2022.10.395
R. Burson, K. Enakoutsa
Gologanu, Leblond, Perrin, and Devaux (GLPD) developed a constitutive model for ductile fracture for porous metals based on generalized continuum mechanics assump-tions. The model predicted with high accuracy ductile fracture process in porous metals subjected to several complex loads. The GLDP model performances over its competitors has attracted the attention of several authors who explored additional capabilities of the model. This paper provides analytical solutions for the problem of a porous hollow sphere subjected to hydrostatic loadings, the matrix of the hollow sphere obeying the GLPD model. The exact solution for the expressions of the stress and the generalized stress the GLPD model involved are illustrated for the case where the matrix material does not contain any voids. The results show that the singularities obtained in the stress distribution with the local Gurson model are smoothed out, as expected with any generalized continuum model. The paper also presents some elements of the analytical solution for the case where the matrix is porous and obeys the full GLPD model at the initial time when the porosity is fixed. The later analytical solution can serve to predict the mechanisms of ductile fracture in porous ductile solids with two populations of cavities with different sizes.
Gologanu, Leblond, Perrin, and Devaux (GLPD)基于广义连续介质力学假设，开发了多孔金属韧性断裂的本构模型。该模型对多孔金属在多种复杂载荷作用下的韧性断裂过程进行了高精度预测。GLDP模型优于其竞争对手的表现吸引了一些作者的注意，他们探索了该模型的其他功能。本文给出了受静水作用的多孔空心球问题的解析解，空心球的矩阵服从GLPD模型。给出了在基体材料不含空洞的情况下，GLPD模型的应力和广义应力表达式的精确解。结果表明，与广义连续体模型一样，局部Gurson模型得到的应力分布奇异点被平滑了。本文还给出了初始孔隙率固定时基质为多孔且服从全GLPD模型的解析解的若干要素。后一解析解可用于预测具有两种不同大小孔洞的多孔塑性固体的韧性断裂机制。
{"title":"Ductile void growing in micromorphic GLPD porous plastic solids containing two populations of cavities with different sizes","authors":"R. Burson, K. Enakoutsa","doi":"10.2140/memocs.2022.10.395","DOIUrl":"https://doi.org/10.2140/memocs.2022.10.395","url":null,"abstract":"Gologanu, Leblond, Perrin, and Devaux (GLPD) developed a constitutive model for ductile fracture for porous metals based on generalized continuum mechanics assump-tions. The model predicted with high accuracy ductile fracture process in porous metals subjected to several complex loads. The GLDP model performances over its competitors has attracted the attention of several authors who explored additional capabilities of the model. This paper provides analytical solutions for the problem of a porous hollow sphere subjected to hydrostatic loadings, the matrix of the hollow sphere obeying the GLPD model. The exact solution for the expressions of the stress and the generalized stress the GLPD model involved are illustrated for the case where the matrix material does not contain any voids. The results show that the singularities obtained in the stress distribution with the local Gurson model are smoothed out, as expected with any generalized continuum model. The paper also presents some elements of the analytical solution for the case where the matrix is porous and obeys the full GLPD model at the initial time when the porosity is fixed. The later analytical solution can serve to predict the mechanisms of ductile fracture in porous ductile solids with two populations of cavities with different sizes.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79977120","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.2140/memocs.2022.10.413
Reema H Alasfar, S. Ahzi, N. Barth, V. Kochkodan, M. Koç
{"title":"Modeling and experimental validation of the elastic modulus of polysulfone membranes reinforced with cellulose nanofibers","authors":"Reema H Alasfar, S. Ahzi, N. Barth, V. Kochkodan, M. Koç","doi":"10.2140/memocs.2022.10.413","DOIUrl":"https://doi.org/10.2140/memocs.2022.10.413","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75469321","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-04DOI: 10.2140/memocs.2022.10.265
A. M. Bersani, Paolo Caressa, A. Ciallella
{"title":"Numerical evidence for the approximation of dissipative systems by gyroscopically coupled oscillator chains","authors":"A. M. Bersani, Paolo Caressa, A. Ciallella","doi":"10.2140/memocs.2022.10.265","DOIUrl":"https://doi.org/10.2140/memocs.2022.10.265","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2022-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82466754","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-04DOI: 10.2140/memocs.2022.10.245
Pikaso Pal, Vivek Mukherjee, Gang-Gyoo Jin
{"title":"Adaptive chaos synchronization of a mechanical system with disturbances and uncertainties","authors":"Pikaso Pal, Vivek Mukherjee, Gang-Gyoo Jin","doi":"10.2140/memocs.2022.10.245","DOIUrl":"https://doi.org/10.2140/memocs.2022.10.245","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2022-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84062074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-04DOI: 10.2140/memocs.2022.10.205
C. Polizzotto, P. Fuschi, A. Pisano
{"title":"Nonlocal strain gradient elastic beam models with two-step differential approach and decoupling of standard and extra boundary conditions, I","authors":"C. Polizzotto, P. Fuschi, A. Pisano","doi":"10.2140/memocs.2022.10.205","DOIUrl":"https://doi.org/10.2140/memocs.2022.10.205","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2022-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88033403","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-04DOI: 10.2140/memocs.2022.10.233
C. Polizzotto, P. Fuschi, A. Pisano
{"title":"Absolute and relative size effects within nonlocal strain gradient elastic beam models, II","authors":"C. Polizzotto, P. Fuschi, A. Pisano","doi":"10.2140/memocs.2022.10.233","DOIUrl":"https://doi.org/10.2140/memocs.2022.10.233","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2022-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83976160","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-25DOI: 10.2140/memocs.2022.10.155
M. Dhange, G. Sankad, Umesh Bhujakkanavar
{"title":"Modeling of blood flow with stenosis and dilatation","authors":"M. Dhange, G. Sankad, Umesh Bhujakkanavar","doi":"10.2140/memocs.2022.10.155","DOIUrl":"https://doi.org/10.2140/memocs.2022.10.155","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2022-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73249716","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-25DOI: 10.2140/memocs.2022.10.103
P. Donato, K. Pettersson
{"title":"Homogenization of a 2D two-component domain with an oscillating thick interface","authors":"P. Donato, K. Pettersson","doi":"10.2140/memocs.2022.10.103","DOIUrl":"https://doi.org/10.2140/memocs.2022.10.103","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2022-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86929473","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-25DOI: 10.2140/memocs.2022.10.191
H. Askes, A. R. Wallace
{"title":"Dynamic Bergan–Wang theory for thick\u0000plates","authors":"H. Askes, A. R. Wallace","doi":"10.2140/memocs.2022.10.191","DOIUrl":"https://doi.org/10.2140/memocs.2022.10.191","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2022-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86989672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-20DOI: 10.2140/memocs.2022.10.85
V. Levin, K. Zingerman, A. Vershinin, D. Konovalov
{"title":"Numerical simulation of the bending of a layered beam with prestressed layer under finite strains using the spectral element method","authors":"V. Levin, K. Zingerman, A. Vershinin, D. Konovalov","doi":"10.2140/memocs.2022.10.85","DOIUrl":"https://doi.org/10.2140/memocs.2022.10.85","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86594695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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