A radial point interpolation meshless method extended with an elastic rate-independent continuum damage model for concrete materials. Issue 10 (27th July 2018)

• Record Type: Journal Article
• Authors: Farahani, Behzad V.; Belinha, J.; Pires, F. M. Andrade; Ferreira, António J. M.
• Is Part Of: Mechanics of advanced materials and structures. Volume 25:Issue 10(2018)
• Page Start: 855
• Page End: 867
• Publication Date: 2018-07-27
• Subjects: Continuum damage mechanics -- concrete material -- displacement enforcement -- return-mapping algorithm -- meshless method -- RPIM; Composite materials -- Mechanical properties -- Periodicals; Composite construction -- Periodicals; 620.118
• DOI: 10.1080/15376494.2017.1308593
• Languages: English
• ISSNs: 1537-6494

Abstract

ABSTRACT: An advanced discretization meshless technique, the radial point interpolation method (RPIM), is applied to analyze concrete structures using an elastic continuum damage constitutive model. Here, the theoretical basis of the material model and the computational procedure are fully presented. The plane stress meshless formulation is extended to a rate-independent damage criterion, where both compressive and tensile damage evolutions are established based on a Helmholtz free energy function. Within the return-mapping damage algorithm, the required variable fields, such as the damage variables and the displacement field, are obtained. This study uses the Newton–Raphson nonlinear solution algorithm to achieve the nonlinear damage solution. The verification, where the performance is assessed, of the proposed model is demonstrated by relevant numerical examples available in the literature.