A second-order relaxed Newton framework for material parameters identification and stress-constrained structural optimization.
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| Title: | A second-order relaxed Newton framework for material parameters identification and stress-constrained structural optimization. |
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| Authors: | Gallo, Antonio1 antonio.gallo2@unina.it, Armentani, Enrico1 enrico.armentani@unina.it, Ferraiuolo, Michele1 m.ferraiuolo@cira.it, Perrella, Michele1 michele.perrella@unina.it |
| Source: | Fracture & Structural Integrity. Oct2026, Issue 78, p489-505. 17p. |
| Subjects: | Newton-Raphson method, Constrained optimization, Mathematical optimization |
| Abstract: | This work presents the development and implementation of a second-order optimization algorithm based on a relaxed Newton method for the minimization of nonlinear scalar objective functions with multiple design variables. The proposed strategy combines a modified Newton scheme with a customized backtracking formulation, which explicitly enforces the Armijo sufficient decrease condition to improve convergence and stability in highly nonlinear problems and reduce computational cost. A refinement parameter is introduced to generalize the step-size sequence into a continuous form, providing a relaxation of the standard backtracking scheme. Unlike standard tuning parameters, it acts directly on the mathematical structure of the linesearch procedure and remains independent of the specific physical problem, constitutive model, or objective function. The methodology is assessed through three case studies of increasing complexity, namely calibration of the Johnson–Cook plasticity model, calibration of the Gurson– Tvergaard– Needleman ductile damage model, and stress-constrained shape optimization of a hollow plate. The results demonstrate accurate parameter identification, robustness to initial guesses, and effective handling of both equality and inequality constraints through Lagrange multipliers and interior penalty functions. Comparisons with standard Newton and first-order methods, as well as Levenberg-Marquardt and Trust-Region algorithms, show better performance of the framework in terms of computational cost and number of iterations, providing an effective and computationally efficient optimization strategy for nonlinear finite element problems involving constitutive calibration and structural design. [ABSTRACT FROM AUTHOR] |
| Copyright of Fracture & Structural Integrity is the property of Gruppo Italiano Frattura and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 197521016 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A second-order relaxed Newton framework for material parameters identification and stress-constrained structural optimization. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Gallo%2C+Antonio%22">Gallo, Antonio</searchLink><relatesTo>1</relatesTo><i> antonio.gallo2@unina.it</i><br /><searchLink fieldCode="AR" term="%22Armentani%2C+Enrico%22">Armentani, Enrico</searchLink><relatesTo>1</relatesTo><i> enrico.armentani@unina.it</i><br /><searchLink fieldCode="AR" term="%22Ferraiuolo%2C+Michele%22">Ferraiuolo, Michele</searchLink><relatesTo>1</relatesTo><i> m.ferraiuolo@cira.it</i><br /><searchLink fieldCode="AR" term="%22Perrella%2C+Michele%22">Perrella, Michele</searchLink><relatesTo>1</relatesTo><i> michele.perrella@unina.it</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Fracture+%26+Structural+Integrity%22">Fracture & Structural Integrity</searchLink>. Oct2026, Issue 78, p489-505. 17p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Newton-Raphson+method%22">Newton-Raphson method</searchLink><br /><searchLink fieldCode="DE" term="%22Constrained+optimization%22">Constrained optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This work presents the development and implementation of a second-order optimization algorithm based on a relaxed Newton method for the minimization of nonlinear scalar objective functions with multiple design variables. The proposed strategy combines a modified Newton scheme with a customized backtracking formulation, which explicitly enforces the Armijo sufficient decrease condition to improve convergence and stability in highly nonlinear problems and reduce computational cost. A refinement parameter is introduced to generalize the step-size sequence into a continuous form, providing a relaxation of the standard backtracking scheme. Unlike standard tuning parameters, it acts directly on the mathematical structure of the linesearch procedure and remains independent of the specific physical problem, constitutive model, or objective function. The methodology is assessed through three case studies of increasing complexity, namely calibration of the Johnson–Cook plasticity model, calibration of the Gurson– Tvergaard– Needleman ductile damage model, and stress-constrained shape optimization of a hollow plate. The results demonstrate accurate parameter identification, robustness to initial guesses, and effective handling of both equality and inequality constraints through Lagrange multipliers and interior penalty functions. Comparisons with standard Newton and first-order methods, as well as Levenberg-Marquardt and Trust-Region algorithms, show better performance of the framework in terms of computational cost and number of iterations, providing an effective and computationally efficient optimization strategy for nonlinear finite element problems involving constitutive calibration and structural design. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Fracture & Structural Integrity is the property of Gruppo Italiano Frattura and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.3221/IGF-ESIS.78.28 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 17 StartPage: 489 Subjects: – SubjectFull: Newton-Raphson method Type: general – SubjectFull: Constrained optimization Type: general – SubjectFull: Mathematical optimization Type: general Titles: – TitleFull: A second-order relaxed Newton framework for material parameters identification and stress-constrained structural optimization. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Gallo, Antonio – PersonEntity: Name: NameFull: Armentani, Enrico – PersonEntity: Name: NameFull: Ferraiuolo, Michele – PersonEntity: Name: NameFull: Perrella, Michele IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Text: Oct2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 19718993 Numbering: – Type: issue Value: 78 Titles: – TitleFull: Fracture & Structural Integrity Type: main |
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