Análise não linear numérica via MDFE de lajes de concreto armado utilizando a mecânica do dano

This work presents a model to predict the flexural behavior of reinforced concrete slabs, combining the Mazars damage model for simulation of the loss of stiffness of the concrete during the cracking process and the Classical Theory of Laminates, to govern the bending of the structural element. A variational formulation based on the principle of virtual work was developed for the model, and then treated numerically according to the Finite Difference Energy Method, with the end result a program developed in Fortran. To validate the model thus proposed have been simulated with the program, some cases of slabs in flexure in the literature. The evaluation of the results obtained in this study demonstrated the capability of the model, in view of the good predictability of the behavior of slabs in flexure, sweeping the path of equilibrium to the rupture of the structural element. Besides the satisfactory prediction of the behavior observed as positive aspects of the model to its relative simplicity and reduced number of experimental parameters necessary for modeling.

[1]  J. Jones,et al.  Finite difference analysis of simply supported RC slabs for blast loadings , 2009 .

[2]  Gregory Malcolm McNeice,et al.  Elastic-plastic bending analysis of plates and slabs by the finite element method , 1967 .

[3]  J Mazars,et al.  APPLICATION DE LA THEORIE DE L'ENDOMMAGEMENT AU COMPORTEMENT NON LINEAIRE ET A LA RUPTURE DU BETON DE STRUCTURE , 1982 .

[4]  Aloisio Ernesto Assan,et al.  Nonlinear analysis of reinforced concrete cylindrical shells , 2000 .

[5]  Mark A. Bradford,et al.  A layered shear-flexural plate/shell element using Timoshenko beam functions for nonlinear analysis of reinforced concrete plates , 2007 .

[6]  R. Varga,et al.  Numerical Solution of Plane Elasticity Problems , 1963 .

[7]  UniversiteEuropeenne de Bretagne.  A variationally based nonlocal damage model to predict diffuse microcracking evolution , 2010 .

[8]  M. Savoia,et al.  Non-linear model for R/C tensile members strengthened by FRP-plates , 2003 .

[9]  W. Krätzig,et al.  An elasto-plastic damage model for reinforced concrete with minimum number of material parameters , 2004 .

[10]  J. Jayaprakash,et al.  Dynamic response simulation for reinforced concrete slabs , 2010, Simul. Model. Pract. Theory.

[11]  Alireza Habibi,et al.  Nonlinear sensitivity analysis of reinforced concrete frames , 2010 .

[12]  Karl-Eugen Kurrer,et al.  The history of the theory of structures , 2008 .

[13]  Mike A. Crisfield,et al.  Accelerated solution techniques and concrete cracking , 1982 .

[14]  Kuldeep Virdi,et al.  Finite difference method for nonlinear analysis of structures , 2006 .

[15]  Hyuk-Chun Noh,et al.  Nonlinear behavior and ultimate load bearing capacity of reinforced concrete natural draught cooling tower shell , 2006 .

[16]  John Cornelius Houbolt,et al.  A Study of several aerothermoelastic problems of aircraft structures in high-speed flight , 1958 .

[17]  J. Mazars.  A description of micro- and macroscale damage of concrete structures , 1986 .

[18]  P. Lima,et al.  Um Modelo para Análise Não Linear Física da Flexão de Vigas de Concreto Armado , 2010 .

[19]  J. Reddy.  Mechanics of laminated composite plates and shells : theory and analysis , 1996 .

[20]  Thomas T. C. Hsu,et al.  Nonlinear finite element analysis of concrete structures using new constitutive models , 2001 .

[21]  V. Thomée.  From finite differences to finite elements a short history of numerical analysis of partial differential equations , 2001 .

[22]  E. Ramm.  Review on the book “The history of the theory of structures. From arch analysis to computational mechanics” by Karl-Eugen Kurrer , 2008 .

[23]  Wilson Sergio Venturini,et al.  Damage modelling of reinforced concrete beams , 2007, Adv. Eng. Softw..

[24]  F. A. Mirza,et al.  Nonlinear analysis of reinforced concrete slabs by a discrete finite element approach , 1997 .

[25]  Hong Guan,et al.  Ultimate strength analysis of normal and high strength concrete wall panels with varying opening configurations , 2010 .

[26]  Márcio Roberto Silva Corrêa,et al.  A layered finite element for reinforced concrete beams with bond–slip effects , 2008 .

[27]  R. Taylor,et al.  Effect of the arrangement of reinforcement on the behaviour of reinforced concrete slabs , 1966 .

[28]  Hajime Okamura,et al.  NON-LINEAR FINITE ELEMENT ANALYSIS OF REINFORCED CONCRETE , 1985 .

[29]  G. Fernandes.  O MÉTODO DOS ELEMENTOS DE CONTORNO APLICADO À ANÁLISE NÃO-LINEAR DE PLACAS , 1998 .