Localization and regularization behavior of mixed finite elements for 2D structural problems with damaging material

• Published in: Computer methods in applied mechanics and engineering Vol. 197; no. 1; pp. 255 - 264
• Main Authors: Grimaldi, R., Addessi, D., Ciampi, V.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.12.2007; Elsevier
• Subjects: Computational techniques; Damage; Exact sciences and technology; Fracture mechanics (crack, fatigue, damage...); Fundamental areas of phenomenology (including applications); Hybrid formulations; Inelasticity (thermoplasticity, viscoplasticity...); Localization; Mathematical methods in physics; Mixed finite elements; Physics; Plasticity; Regularization; Solid mechanics; Structural and continuum mechanics; Damage; Localization; Regularization; Hybrid formulations; Plasticity; Mixed finite elements; Constitutive equation; Modeling; Mixed method; Predictor corrector method; Finite element method; Inelasticity; Lagrange interpolation; Non local theory; Structural analysis; Damaging
• ISSN: 0045-7825; 1879-2138
• DOI: 10.1016/j.cma.2007.07.021

A class of Lagrangian mixed finite elements is presented for applications to 2D structural problems based on a damage constitutive model. Attention is focused on localization and regularization issues as compared with the correspondent behavior of Lagrangian displacement-based elements. A non-local regularization procedure of integral type is adopted. A predictor–corrector technique is used to solve the evolution problem of the damage variable. The proposed elements show superior performances for typical structural applications.