关于映射和变形过程

IF 1.4 3区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

Journal of Elasticity Pub Date : 2025-05-28 DOI:10.1007/s10659-025-10139-3

M. B. Rubin, Lorenzo Bardella

{"title":"关于映射和变形过程","authors":"M. B. Rubin, Lorenzo Bardella","doi":"10.1007/s10659-025-10139-3","DOIUrl":null,"url":null,"abstract":"<div>This Note focuses on kinematics in continuum mechanics and suggests the need for distinguishing between a mapping and a deformation process. As an example, it is shown that the standard discussion of isochoric bending of a cube into sectors of circular tubes is actually an isochoric deformation process that continuously deforms only members of the set of sectors of circular tubes. Specifically, this mapping cannot continuously deform a cube into sectors of circular tubes.</div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 3","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Mappings and Deformation Processes\",\"authors\":\"M. B. Rubin, Lorenzo Bardella\",\"doi\":\"10.1007/s10659-025-10139-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div>This Note focuses on kinematics in continuum mechanics and suggests the need for distinguishing between a mapping and a deformation process. As an example, it is shown that the standard discussion of isochoric bending of a cube into sectors of circular tubes is actually an isochoric deformation process that continuously deforms only members of the set of sectors of circular tubes. Specifically, this mapping cannot continuously deform a cube into sectors of circular tubes.</div>\",\"PeriodicalId\":624,\"journal\":{\"name\":\"Journal of Elasticity\",\"volume\":\"157 3\",\"pages\":\"\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2025-05-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Elasticity\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10659-025-10139-3\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Elasticity","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10659-025-10139-3","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

本注侧重于连续介质力学中的运动学，并提出区分映射过程和变形过程的必要性。作为一个例子，证明了标准讨论立方体的等时弯曲成圆管扇区实际上是一个等时变形过程，它只使圆管扇区集合中的成员连续变形。具体来说，这种映射不能连续地将立方体变形为圆形管的扇形。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On Mappings and Deformation Processes

This Note focuses on kinematics in continuum mechanics and suggests the need for distinguishing between a mapping and a deformation process. As an example, it is shown that the standard discussion of isochoric bending of a cube into sectors of circular tubes is actually an isochoric deformation process that continuously deforms only members of the set of sectors of circular tubes. Specifically, this mapping cannot continuously deform a cube into sectors of circular tubes.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Elasticity 工程技术-材料科学：综合

CiteScore

3.70

自引率

15.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Elasticity was founded in 1971 by Marvin Stippes (1922-1979), with its main purpose being to report original and significant discoveries in elasticity. The Journal has broadened in scope over the years to include original contributions in the physical and mathematical science of solids. The areas of rational mechanics, mechanics of materials, including theories of soft materials, biomechanics, and engineering sciences that contribute to fundamental advancements in understanding and predicting the complex behavior of solids are particularly welcomed. The role of elasticity in all such behavior is well recognized and reporting significant discoveries in elasticity remains important to the Journal, as is its relation to thermal and mass transport, electromagnetism, and chemical reactions. Fundamental research that applies the concepts of physics and elements of applied mathematical science is of particular interest. Original research contributions will appear as either full research papers or research notes. Well-documented historical essays and reviews also are welcomed. Materials that will prove effective in teaching will appear as classroom notes. Computational and/or experimental investigations that emphasize relationships to the modeling of the novel physical behavior of solids at all scales are of interest. Guidance principles for content are to be found in the current interests of the Editorial Board.