{"title":"Modeling and identification of residual stress fields in cylinders and plates","authors":"Rostislav Nedin, Alexander Vatulyan","doi":"10.1007/s00161-025-01388-7","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, on the basis of the linearized model of prestressed elastic body, we propose approaches to studying coefficient inverse problems (IP) of 3 types on the prestress identification based on vibration sensing. We present techniques for reconstructing the nature of residual stress state (RSS) inhomogeneity, based on a combination of projection, iterative and finite element (FE) approaches. The fundamentals of the approach to analyzing a sensitivity of dynamic characteristics of elastic bodies to RSS type under various probing modes are discussed. A series of computational experiments is carried out to analyze the influence of RSS parameters and material inhomogeneity on the dynamic response and to reconstruct various types of 2D prestress fields in cylinders and plates. In addition, we present some recommendations for the implementation of the most effective modes of combined probing loading, providing the best reconstruction of RSS of various types in the studied objects.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 3","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2025-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Continuum Mechanics and Thermodynamics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00161-025-01388-7","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 this paper, on the basis of the linearized model of prestressed elastic body, we propose approaches to studying coefficient inverse problems (IP) of 3 types on the prestress identification based on vibration sensing. We present techniques for reconstructing the nature of residual stress state (RSS) inhomogeneity, based on a combination of projection, iterative and finite element (FE) approaches. The fundamentals of the approach to analyzing a sensitivity of dynamic characteristics of elastic bodies to RSS type under various probing modes are discussed. A series of computational experiments is carried out to analyze the influence of RSS parameters and material inhomogeneity on the dynamic response and to reconstruct various types of 2D prestress fields in cylinders and plates. In addition, we present some recommendations for the implementation of the most effective modes of combined probing loading, providing the best reconstruction of RSS of various types in the studied objects.
期刊介绍：
This interdisciplinary journal provides a forum for presenting new ideas in continuum and quasi-continuum modeling of systems with a large number of degrees of freedom and sufficient complexity to require thermodynamic closure. Major emphasis is placed on papers attempting to bridge the gap between discrete and continuum approaches as well as micro- and macro-scales, by means of homogenization, statistical averaging and other mathematical tools aimed at the judicial elimination of small time and length scales. The journal is particularly interested in contributions focusing on a simultaneous description of complex systems at several disparate scales. Papers presenting and explaining new experimental findings are highly encouraged. The journal welcomes numerical studies aimed at understanding the physical nature of the phenomena.
Potential subjects range from boiling and turbulence to plasticity and earthquakes. Studies of fluids and solids with nonlinear and non-local interactions, multiple fields and multi-scale responses, nontrivial dissipative properties and complex dynamics are expected to have a strong presence in the pages of the journal. An incomplete list of featured topics includes: active solids and liquids, nano-scale effects and molecular structure of materials, singularities in fluid and solid mechanics, polymers, elastomers and liquid crystals, rheology, cavitation and fracture, hysteresis and friction, mechanics of solid and liquid phase transformations, composite, porous and granular media, scaling in statics and dynamics, large scale processes and geomechanics, stochastic aspects of mechanics. The journal would also like to attract papers addressing the very foundations of thermodynamics and kinetics of continuum processes. Of special interest are contributions to the emerging areas of biophysics and biomechanics of cells, bones and tissues leading to new continuum and thermodynamical models.
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