On the subloading surface model for metals: some insights and an efficient numerical implementation

Abstract In this work, we revisit the subloading surface model, as well as its extended version. By investigating its original formulation, we provide an alternative interpretation. With which, it is shown that the corresponding evolution rules of historic variables can be greatly simplified. The proposed evolution rules are analytically more concise and possess straightforward implications that can be easily illustrated while remain mathematically equivalent to the original ones. Based on the new proposal, an implicit numerical algorithm is presented. Compared to the previous implementation, the new algorithm is more efficient and robust. Additional insights regarding the unconventional (un)loading criterion and the specific form of some functions are also discussed.

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Publication Details

Journal
Acta Mechanica
Published
2025-05-09
DOI
https://doi.org/10.1007/s00707-025-04339-0
Primary Topic
Numerical methods in engineering
Type
article
Field-Weighted Citation Impact
0.00

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article

On the subloading surface model for metals: some insights and an efficient numerical implementation

Theodore L. Chang
3 links
Acta Mechanica
Numerical methods in engineering
article

On the subloading surface model for metals: some insights and an efficient numerical implementation

Theodore L. Chang
article en

Abstract

Abstract In this work, we revisit the subloading surface model, as well as its extended version. By investigating its original formulation, we provide an alternative interpretation. With which, it is shown that the corresponding evolution rules of historic variables can be greatly simplified. The proposed evolution rules are analytically more concise and possess straightforward implications that can be easily illustrated while remain mathematically equivalent to the original ones. Based on the new proposal, an implicit numerical algorithm is presented. Compared to the previous implementation, the new algorithm is more efficient and robust. Additional insights regarding the unconventional (un)loading criterion and the specific form of some functions are also discussed.

Acta MechanicaVol. 236(6)
Humboldt-Universität zu Berlin (DE)
Humboldt-Universität zu Berlin
Openalex Percentile: Top 89%
Numerical methods in engineering
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