A meshless approach to non-local damage modelling of concrete. (June 2017)

• Record Type: Journal Article
• Authors: Farahani, Behzad V.; Belinha, J.; Pires, F.M. Andrade; Ferreira, António J.M.; Moreira, P.M.G.P.
• Is Part Of: Engineering analysis with boundary elements. Volume 79(2017)
• Page Start: 62
• Page End: 74
• Publication Date: 2017-06
• Subjects: Non-linear, Constitutive damage model -- Meshless method -- Concrete -- RPIM; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2017.04.002
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: A non-linear continuum damage mechanics model for concrete constructions is analysed using a radial point interpolation meshless method (RPIM). The fundamental mathematical relations and the material model are fully characterized. The 2D plane stress RPIM formulation is extended to a rate-independent standard (local) damage model considering both tension and compression static states. Additionally, in this work, the local damage formulation is modified considering a non-local constitutive damage criterion with regard to a Helmholtz free energy potential. Here, the internal variational fields, such as local and non-local damage variables, are determined by a return-mapping damage algorithm. Due to the non-linear nature of the phenomenon, a displacement controlled Newton-Raphson iterative approach is adopted to attain the non-linear damage solution. In the end, the performance of the proposed non-local damage model is evaluated using an experimental test of a notched-three-point bending beam available in the literature. The obtained solution shows that the meshless methods are capable to effectively analyse concrete structures assuming a non-linear non-local continuum damage model.