Simulation of fracture in a quasi-brittle material in direct tension - a lattice model

Raghuprasad, BK and Bhat, DN and Bhattacharya, GS (1998) Simulation of fracture in a quasi-brittle material in direct tension - a lattice model. In: Engineering Fracture Mechanics, 61 (3-4). pp. 445-460.

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Abstract

In this paper, results of simulation of stress-deformation response of a quasi-brittle material, like concrete, in direct tension using lattice model earlier proposed by Bhattacharya [2] (Bhattacharya GS. Simulation of tension softening and size effect in quasi-brittle materials-by lattice and fractal models. PhD thesis submitted to Indian Institute of Science, Bangalore, 1996.) are reported. A total of nine direct tension plate specimens are taken from the literature for which experimental stress- deformation relations are available. Seven of them are double edge notched (DEN) and two are single edge notched (SEN) specimens. The results of simulations are compared with experimental results and it is encouraging to see that the results match closely. An expression to find a parameter a used in this model is proposed. Thus the load-deflection behaviour including the phase of softening of any direct tension plate specimen of given dimensions can be approximately simulated. The model idealizes concrete as a heterogeneous material and heterogeneity is introduced through a technique incorporating singular fractal functions. A remarkable feature of this model is that the simulation can be carried out with a small number of members in the lattice and there is no need to remove fractured members in successive load steps. Each member is made to undergo tension softening rather than brittle fracture.

Item Type:	Journal Article
Publication:	Engineering Fracture Mechanics
Publisher:	Elsevier
Additional Information:	Copyright of this article belongs to Elsevier.
Keywords:	Tension softening;Size effects;Singular fractal functions;Lattice model;Concrete
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	30 Nov 2007
Last Modified:	19 Sep 2010 04:32
URI:	http://eprints.iisc.ac.in/id/eprint/8998

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