{"title":"超弹性生物组织变形模型参数分析","authors":"S. A. Muslov, A. I. Lotkov, A. N. Nikishenko","doi":"10.1134/S2075113325701448","DOIUrl":null,"url":null,"abstract":"<p>The Mathcad 15.0 computer algebra system is used to predict the deformation behavior of hyperelastic materials. The results we obtained were compared with the predictions of other models. The models are ranked against the rating given in papers dealing with the finite deformation mechanics. The list comprises seven models: neohookean, Mooney–Rivlin (2-parameter), Mooney–Rivlin (3-parameter), Ogden, polynomial, Veronda–Westmann, and the Yeoh model. The prognostic accuracy of the results of model calculations relative to the experimental data is estimated using mathematical statistics indicators. An example of calculating the parameters of hyperelastic deformation model is given for a biomaterial sample (a piece of skin taken from the human back).</p>","PeriodicalId":586,"journal":{"name":"Inorganic Materials: Applied Research","volume":"16 5","pages":"1364 - 1370"},"PeriodicalIF":0.3000,"publicationDate":"2025-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analyzing Parameters in Deformation Models of Hyperelastic Biotissues\",\"authors\":\"S. A. Muslov, A. I. Lotkov, A. N. Nikishenko\",\"doi\":\"10.1134/S2075113325701448\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The Mathcad 15.0 computer algebra system is used to predict the deformation behavior of hyperelastic materials. The results we obtained were compared with the predictions of other models. The models are ranked against the rating given in papers dealing with the finite deformation mechanics. The list comprises seven models: neohookean, Mooney–Rivlin (2-parameter), Mooney–Rivlin (3-parameter), Ogden, polynomial, Veronda–Westmann, and the Yeoh model. The prognostic accuracy of the results of model calculations relative to the experimental data is estimated using mathematical statistics indicators. An example of calculating the parameters of hyperelastic deformation model is given for a biomaterial sample (a piece of skin taken from the human back).</p>\",\"PeriodicalId\":586,\"journal\":{\"name\":\"Inorganic Materials: Applied Research\",\"volume\":\"16 5\",\"pages\":\"1364 - 1370\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2025-09-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Inorganic Materials: Applied Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S2075113325701448\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Inorganic Materials: Applied Research","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S2075113325701448","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
Analyzing Parameters in Deformation Models of Hyperelastic Biotissues
The Mathcad 15.0 computer algebra system is used to predict the deformation behavior of hyperelastic materials. The results we obtained were compared with the predictions of other models. The models are ranked against the rating given in papers dealing with the finite deformation mechanics. The list comprises seven models: neohookean, Mooney–Rivlin (2-parameter), Mooney–Rivlin (3-parameter), Ogden, polynomial, Veronda–Westmann, and the Yeoh model. The prognostic accuracy of the results of model calculations relative to the experimental data is estimated using mathematical statistics indicators. An example of calculating the parameters of hyperelastic deformation model is given for a biomaterial sample (a piece of skin taken from the human back).
期刊介绍：
Inorganic Materials: Applied Research contains translations of research articles devoted to applied aspects of inorganic materials. Best articles are selected from four Russian periodicals: Materialovedenie, Perspektivnye Materialy, Fizika i Khimiya Obrabotki Materialov, and Voprosy Materialovedeniya and translated into English. The journal reports recent achievements in materials science: physical and chemical bases of materials science; effects of synergism in composite materials; computer simulations; creation of new materials (including carbon-based materials and ceramics, semiconductors, superconductors, composite materials, polymers, materials for nuclear engineering, materials for aircraft and space engineering, materials for quantum electronics, materials for electronics and optoelectronics, materials for nuclear and thermonuclear power engineering, radiation-hardened materials, materials for use in medicine, etc.); analytical techniques; structure–property relationships; nanostructures and nanotechnologies; advanced technologies; use of hydrogen in structural materials; and economic and environmental issues. The journal also considers engineering issues of materials processing with plasma, high-gradient crystallization, laser technology, and ultrasonic technology. Currently the journal does not accept direct submissions, but submissions to one of the source journals is possible.
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