{"title":"On the view of considering regularization parameter as material constant","authors":"Pomhyang Chu, Kumchol Yun, Kumsong Chu","doi":"10.1016/j.mechrescom.2023.104196","DOIUrl":null,"url":null,"abstract":"<div><p><span><span>In the fracture analysis of materials or structures including cracks, defects and voids, the phase field method is one of the most efficient and popular methods. The phase field methods provide a stable and robust solution by regularizing the </span>singularity of a </span>mechanical system<span> with discontinuities, and a regularization parameter<span> is used for that. There is a powerful argument in the field of computational mechanics that regularization parameters should be regarded as material constants, and in many recently developed phase field models (PFMs), regularization parameters are used as material constants. In this paper, we derive a generalized form of a typical expression for the regularization parameter given as a material constant for making an in-depth analysis of the theoretical basis of such arguments, and estimate the rationality of this view through numerical analyses of some examples.</span></span></p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":1.9000,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics Research Communications","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0093641323001556","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
In the fracture analysis of materials or structures including cracks, defects and voids, the phase field method is one of the most efficient and popular methods. The phase field methods provide a stable and robust solution by regularizing the singularity of a mechanical system with discontinuities, and a regularization parameter is used for that. There is a powerful argument in the field of computational mechanics that regularization parameters should be regarded as material constants, and in many recently developed phase field models (PFMs), regularization parameters are used as material constants. In this paper, we derive a generalized form of a typical expression for the regularization parameter given as a material constant for making an in-depth analysis of the theoretical basis of such arguments, and estimate the rationality of this view through numerical analyses of some examples.
期刊介绍:
Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide:
• a fast means of communication
• an exchange of ideas among workers in mechanics
• an effective method of bringing new results quickly to the public
• an informal vehicle for the discussion
• of ideas that may still be in the formative stages
The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.