Use of the eigenstrain concept for residual stress analysis

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dc.contributor.authorLuzin, Ven_AU
dc.date.accessioned2015-10-14T00:50:30Zen_AU
dc.date.available2015-10-14T00:50:30Zen_AU
dc.date.issued2013-09-23en_AU
dc.date.statistics2015-10-08en_AU
dc.description.abstractProblems of residual stress analysis can be formulated in terms of so-called eigenstrain or inelastic strain. Although the concept is almost 100 year old, the use of it by the residual stress community is quite limited, due to complexities of the associated mathematics. When mathematical difficulties are resolved and eigenstrain is reconstructed, the use of it can be beneficial in several ways. Firstly, the eigenstrain is essentially a generator function for residual elastic stress and elastic strain and it can be used, for generation of any stress field in FE models. Furthermore, eigenstrain distributions are frequently localized, even though the elastic stress or strain distributions are not. Both these properties can be used for effective data reduction. Another advantage of the use of the eigenstrain concept is that experimental data may be interpreted in a more meaningful way by using a narrower context, in terms of plastic deformation, thermal expansion/misfit and deformation caused by phase transformation, rather than just residual stress/strain field. The sample geometry and symmetry play an important role in resolving eigenstrain distributions from residual stress and elastic strain fields. Generally the equations are difficult to solve, however for a sample geometry of high symmetry, eigenstrain can be resolved and expressed as a solution of a relatively simple integral equation; which is the Fredholm of the second type with the kernel of the integral operator defined by the sample geometry/symmetry. Several such symmetries are investigated, yielding analytical solutions that are applied and contrasted to experimental data. An important issue for residual stress analysis is the uniqueness of the solution is also discussed. © 2014, Trans Tech Publications.en_AU
dc.identifier.citationLuzin, V. (2013). Use of the eigenstrain concept for residual stress analysis. Materials Science Forum, 768–769, 193–200. doi:10.4028/www.scientific.net/msf.768-769.193en_AU
dc.identifier.govdoc6154en_AU
dc.identifier.issn0255-5476en_AU
dc.identifier.journaltitleMaterials Science Forumen_AU
dc.identifier.pagination193-200en_AU
dc.identifier.urihttp://dx.doi.org/10.4028/www.scientific.net/MSF.768-769.193en_AU
dc.identifier.urihttp://apo.ansto.gov.au/dspace/handle/10238/6320en_AU
dc.identifier.volume768-769en_AU
dc.language.isoenen_AU
dc.publisherTrans Tech Publicationsen_AU
dc.subjectResidual stressesen_AU
dc.subjectExperimental dataen_AU
dc.subjectGeometryen_AU
dc.subjectSymmetryen_AU
dc.subjectStrainsen_AU
dc.subjectTransformationsen_AU
dc.titleUse of the eigenstrain concept for residual stress analysisen_AU
dc.typeJournal Articleen_AU
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