Kaixuan Liang
(, ), Panxu Sun
(, ), Dongwei Wang
(, ), Yadan Yan
(, )
{"title":"A complete orthogonal decomposition method for the comprehensive deformation energy of discrete elastomers","authors":"Kaixuan Liang \n (, ), Panxu Sun \n (, ), Dongwei Wang \n (, ), Yadan Yan \n (, )","doi":"10.1007/s10409-024-23181-x","DOIUrl":null,"url":null,"abstract":"<div><p>Based on mathematical orthogonality and mechanical equilibrium, a deformation energy decomposition method for classical isotropic square and cube elements is proposed by considering the physical parameters of materials. By aid of this method, the comprehensive deformation energy of planar discrete elastomers can be decomposed into five basic deformation energies, and the comprehensive deformation energy of spatial discrete elastomers can be decomposed into eighteen basic deformation energies. The quantification and visualization of structural deformation performance can be realized. According to the magnitude of different deformation energy in the same element, the decomposition diagram is drawn, which can visually display the area dominated by each basic deformation energy. The cloud diagram is drawn based on the distribution of specific deformation energy in different elements, which can be used to analyze the gradient change of deformation energy in the structure. Finally, the deformation properties of cantilever beam and four-sided consolidation plate are analyzed by deformation energy decomposition method. The correctness and superiority of this method are verified by comparing with the results of strain energy decomposition.</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":null,"pages":null},"PeriodicalIF":3.8000,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica Sinica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10409-024-23181-x","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Based on mathematical orthogonality and mechanical equilibrium, a deformation energy decomposition method for classical isotropic square and cube elements is proposed by considering the physical parameters of materials. By aid of this method, the comprehensive deformation energy of planar discrete elastomers can be decomposed into five basic deformation energies, and the comprehensive deformation energy of spatial discrete elastomers can be decomposed into eighteen basic deformation energies. The quantification and visualization of structural deformation performance can be realized. According to the magnitude of different deformation energy in the same element, the decomposition diagram is drawn, which can visually display the area dominated by each basic deformation energy. The cloud diagram is drawn based on the distribution of specific deformation energy in different elements, which can be used to analyze the gradient change of deformation energy in the structure. Finally, the deformation properties of cantilever beam and four-sided consolidation plate are analyzed by deformation energy decomposition method. The correctness and superiority of this method are verified by comparing with the results of strain energy decomposition.
期刊介绍:
Acta Mechanica Sinica, sponsored by the Chinese Society of Theoretical and Applied Mechanics, promotes scientific exchanges and collaboration among Chinese scientists in China and abroad. It features high quality, original papers in all aspects of mechanics and mechanical sciences.
Not only does the journal explore the classical subdivisions of theoretical and applied mechanics such as solid and fluid mechanics, it also explores recently emerging areas such as biomechanics and nanomechanics. In addition, the journal investigates analytical, computational, and experimental progresses in all areas of mechanics. Lastly, it encourages research in interdisciplinary subjects, serving as a bridge between mechanics and other branches of engineering and the sciences.
In addition to research papers, Acta Mechanica Sinica publishes reviews, notes, experimental techniques, scientific events, and other special topics of interest.
Related subjects » Classical Continuum Physics - Computational Intelligence and Complexity - Mechanics