{"title":"准脆性材料强度分析的计算涂抹损伤方法","authors":"J. Vala","doi":"10.37394/232011.2021.16.31","DOIUrl":null,"url":null,"abstract":"Computational analysis of strength of quasi-brittle materials, crucial for the durability of building structures and industrial components, needs typically a smeared damage approach, referring to the Eringen theory of nonlocal elasticity. Unfortunately its ad hoc constitutive relations cannot avoid potential divergence of sequences of approximate solutions, exploiting some extended finite element techniques, as well as questionable or missing existence results for corresponding boundary value problems. Introducing a simple static partially linearized model problem of such type, this article demonstrates some relevant remedies and their limitations, with numerous references to desirable generalizations","PeriodicalId":53603,"journal":{"name":"WSEAS Transactions on Applied and Theoretical Mechanics","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"On a Computational Smeared Damage Approach to the Analysis of Strength of Quasi-Brittle Materials\",\"authors\":\"J. Vala\",\"doi\":\"10.37394/232011.2021.16.31\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Computational analysis of strength of quasi-brittle materials, crucial for the durability of building structures and industrial components, needs typically a smeared damage approach, referring to the Eringen theory of nonlocal elasticity. Unfortunately its ad hoc constitutive relations cannot avoid potential divergence of sequences of approximate solutions, exploiting some extended finite element techniques, as well as questionable or missing existence results for corresponding boundary value problems. Introducing a simple static partially linearized model problem of such type, this article demonstrates some relevant remedies and their limitations, with numerous references to desirable generalizations\",\"PeriodicalId\":53603,\"journal\":{\"name\":\"WSEAS Transactions on Applied and Theoretical Mechanics\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-12-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"WSEAS Transactions on Applied and Theoretical Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37394/232011.2021.16.31\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"WSEAS Transactions on Applied and Theoretical Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/232011.2021.16.31","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
On a Computational Smeared Damage Approach to the Analysis of Strength of Quasi-Brittle Materials
Computational analysis of strength of quasi-brittle materials, crucial for the durability of building structures and industrial components, needs typically a smeared damage approach, referring to the Eringen theory of nonlocal elasticity. Unfortunately its ad hoc constitutive relations cannot avoid potential divergence of sequences of approximate solutions, exploiting some extended finite element techniques, as well as questionable or missing existence results for corresponding boundary value problems. Introducing a simple static partially linearized model problem of such type, this article demonstrates some relevant remedies and their limitations, with numerous references to desirable generalizations
期刊介绍:
WSEAS Transactions on Applied and Theoretical Mechanics publishes original research papers relating to computational and experimental mechanics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with fluid-structure interaction, impact and multibody dynamics, nonlinear dynamics, structural dynamics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.