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Analysis of institutional authors

Desena-Galarza, DAuthorMerodio, JCorresponding Author

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Computational bifurcation analysis for hyperelastic residually stressed tubes under combined inflation and extension and aneurysms in arterial tissue

Publicated to:Finite Elements In Analysis And Design. 197 103636- - 2021-12-01 197(), DOI: 10.1016/j.finel.2021.103636

Authors: Desena-Galarza, D.; Dehghani, H.; Jha, N. K.; Reinoso, J.; Merodio, J.;

Affiliations

Univ Luxembourg, Fac Sci Technol & Med, Dept Engn, Inst Computat Engn & Sci, 6 Ave Fonte, L-4364 Esch Sur Alzette, Luxembourg - Author
Univ Politecn Madrid, ETS Ingenieros Caminos Canales & Puertos, Dept Continuum Mech & Struct, Madrid 28040, Spain - Author
Univ Seville, Sch Engn, Grp Elasticidad & Resistencia Mat, Camino Descubrimientos S-N, Seville 41092, Spain - Author

Abstract

In this investigation, the mechanical modelling of a hyperelastic residually stressed thick-walled circular cylindrical tube under inflation and extension is performed from a numerical standpoint. The constitutive relation is derived for residually stressed solids using an invariant-based free energy approach. A threedimensional residual stress field is introduced in the argument of the free-energy function. This formulation is incorporated into a numerical procedure using the Finite Element Method (FEM), with the use of a nonlinear solution scheme via the modified Riks method in order to capture bifurcation and post-bifurcation of the tube. The FE implementation of the proposed formulation is carried out in the general purpose code ABAQUS by means of user-defined capabilities. A comprehensive analysis of the structural performance of the tube is conducted with special focus on the effect of the residual stresses on the bifurcation behaviour. Results are analysed mainly in the context of aneurysms formation and propagation in arterial wall tissues, although it has other applications such as in the context of venous tortuosity. Bulging and bending modes are obtained, and post-bifurcation is also captured. Results suggest that the onset and location of the bulge along the axis of the tube depend mainly on the axial stretch and on the residual stress field. Computations also show that for sufficiently large values of axial stretch the onset of bifurcation is bulging while for small values of axial stretch the onset of bifurcation is bending. Post-bifurcation behaviour of this latter case gives rise to bulges on one side of the tube, which is an irregular shape that appears in the advancement of abdominal aortic aneurysms (AAA).

Keywords

3d residual stress fieldAbdominal aortic aneurysmsAbdominal aortic aneurysms (aaa)Bending and bulging bifurcationsBifurcation (mathematics)Bifurcation analysisComprehensive analysisConstitutive relationsCylindersElastic-materialElasticityFinite deformationsFree energyNon-linear elasticityNon-linear solutionsNumerical methodsNumerical proceduresPostbifurcationPropagationResidual stress fieldsResidual stressesStructural performanceTissueTissue engineeringTubes (components)

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Finite Elements In Analysis And Design due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2021, it was in position 46/267, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics, Applied.

From a relative perspective, and based on the normalized impact indicator calculated from World Citations from Scopus Elsevier, it yields a value for the Field-Weighted Citation Impact from the Scopus agency: 1.29, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: ESI Nov 14, 2024)

This information is reinforced by other indicators of the same type, which, although dynamic over time and dependent on the set of average global citations at the time of their calculation, consistently position the work at some point among the top 50% most cited in its field:

  • Field Citation Ratio (FCR) from Dimensions: 3.88 (source consulted: Dimensions Jun 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-06-29, the following number of citations:

  • WoS: 6
  • Scopus: 22

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-06-29:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 12 (PlumX).

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Luxembourg.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (DESENA GALARZA, DARIEL) and Last Author (MERODIO GOMEZ, JOSE).

the author responsible for correspondence tasks has been MERODIO GOMEZ, JOSE.