Work

State of art in regularization methods for numerical analysis of structures with softening

Year: 2025

Type: article

Abstract: This paper provides an extensive review of popular regularization methods utilized in numerical models to stabilize the structural response of materials exhibiting significant softening. The necessity for regularization is highlighted in cases of material softening, which is attributed to the loss of ellipticity in the governing differential equations. It discusses the advantages and disadvantages of the regularization methods most commonly employed in the scientific community. Furthermore, the paper highlights recent advancements, particularly in defining internal length within nonlocal models and characteristic element length in fracture energy regularization methods, as alternative solutions to address the limitations inherent in traditional approaches.

Source: International Journal of Damage Mechanics

DOI: 10.1177/10567895251329946

Authors: Jiahui Shen, Mário Rui Tiago Arruda, Alfonso Pagani

Institutions: Politecnico di Torino, National Laboratory for Civil Engineering

Language: English

Topic: Numerical methods in engineering

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,400

Funders: European Commission, H2020 European Research Council