A new formulation of cracking in concrete structures based on lumped damage mechanics

Daniel V.C. Teles , Rafael N. Cunha , Ricardo A. Picón , David L.N.F. Amorim , Yongtao Bai , Sergio P.B. Proença , Julio Flórez-López

Abstract

Lumped Damage Mechanics (LDM) is a theory proposed in the late eighties, which assumes that structural collapse may be analyzed as a two-phase phenomenon. In the first (pre-localization) stage, energy dissipation is a continuous process and it may be modelled by means of the classic versions of the theory of plasticity or Continuum Damage Mechanics (CDM). The second, post-localization, phase can be modelled assuming that energy dissipation is lumped in zones of zero volume: inelastic hinges, hinge lines or localization surfaces. This paper proposes a new LDM formulation for cracking in concrete structures in tension. It also describes its numerical implementation in conventional finite element programs. The results of three numerical simulations of experimental tests reported in the literature are presented. They correspond to plain and fiber-reinforced concrete specimens. A fourth simulation describes also the experimental results of a new test using the digital image correlation technique. These numerical simulations are also compared with the ones obtained using conventional Cohesive Fracture Mechanics (CFM). It is then shown that LDM conserves the advantages of both, CDM and CFM, while overcoming their drawbacks.

Key Words

damage mechanics; fiber-reinforced concrete; finite element analysis; localization bands; mesh independence; plain concrete

Address

Daniel V.C. Teles — Laboratory of Mathematical Modelling in Civil Engineering, Post-graduate Program in Civil Engineering, Federal University of Sergipe, São Cristóvão, Brazil
Rafael N. Cunha — Post-graduate Program in Civil Engineering, Federal University of Alagoas, Maceió, Brazil
Ricardo A. Picón — Departamento de Obras Civiles y Geología, Facultad de Ingeniería, Universidad Católica de Temuco, Av. Rudecindo Ortega 02950, 4780000 Temuco, Chile
David L.N.F. Amorim — Laboratory of Mathematical Modelling in Civil Engineering, Post-graduate Program in Civil Engineering, Federal University of Sergipe, São Cristóvão, Brazil; Post-graduate Program in Civil Engineering, Federal University of Alagoas, Maceió, Brazil
Yongtao Bai — School of Civil Engineering, Chongqing University, Shapingba-District, 400045, Chongqing, China
Sergio P.B. Proença — Department of Structural Engineering, Engineering School of São Carlos, University of São Paulo, Av. Trabalhador São-Carlense 400, São Carlos, Brazil
Julio Flórez-López — School of Civil Engineering, Chongqing University, Shapingba-District, 400045, Chongqing, China

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