Issue 19

P. K. Pradhan et alii, Frattura ed Integrità Strutturale, 19 (2012) 51-60 ; DOI: 10.3221/IGF-ESIS.19.05 52 towards the neighbouring voids in the manner that depends on strain hardening coefficient (n). Later, Taktak et al. [6] have proposed a modification of Rice and Tracey model by introducing corrective co-efficient. Coalescence of voids occurs followed by gradually and continuous volumetric growth and shape change of the voids under stress-strain field. This coalescence of voids leads to final fracture. Thomason [7] has given the limit load condition required to initiate internal necking of intervoid matrix. Rui et al. [8] studied the fracture of FeNi42 alloy and observed that coalescence of micro voids occurs only in localized necked regions. When the space of adjacent micro voids is smaller, they coalesced directly and when the space is bigger, these are usually linked by several smaller voids nucleated presumably by fine carbides or very small inclusions. Tvergaard [9] has done a model analysis of void growth and coalescence and found that for a very small void volume fraction the crack-tip tends to interact with one void at a time, while larger void volume fractions lead to simultaneous interaction of multiple voids on the plane ahead of the crack-tip. Gao and Jinkook [10] obtained the failure criterion for a material is a function of the stress triaxiality parameter and the load angle. Zhang and Skallerud [11] found that effect of pre-strain induced void shape change on coalescence strain is relatively small while the effect of pre-strain induced local hardening is significant. In a study, Milza at al. [12] got that void nucleation and coalescence both have a very strong dependence on stress tri-axiality, but appear to be less sensitive to strain-rate for ductile material like pure copper. Osman [13] observed that due to presence of free graphite and nonspheroidal graphite in ductile cast iron, the fatigue crack initiate and propagates easily and the fatigue strength decreases. Fracture of materials depends upon many parameters like the state of stress, strain rate, the defect size, crystal structure, chemical homogeneity, grain size, grain boundary, formation of twins and slip plane, temperature and environmental conditions. In an experimental study, Nath and Das [14] found that fine grained structure have higher value of fracture toughness than a coarse grained structure for medium carbon steel. Many scientists have proposed many theories both in microscopic and macroscopic levels. Various theories exist, that explain the mechanisms of void nucleation, growth and coalescence. However, only a limited number of experiments have been carried out to validate these theories. Keeping in view of these facts, the present work attempts to study the coalescence of existing micro void in a ductile material, mild steel. Micro sized holes were machined on flat specimen and their growth and coalescence behaviour were observed. The results obtained from the experiments are discussed assuming that machined holes are acting as voids in ductile material. Since the mild steel is widely used engineering material and is ductile in nature, it is taken for this experimental work. Figure 1 : Rectangular specimen with arrays of holes at different orientations: (a) Specimen without hole, (b) hole array at 0 0 /90 0 , (c) at 30 0 , (d) at 40 0 , (e) at 45 0 , (f) at 50 0 and (g) at 60 0 . E XPERIMENTATION Plan of Experiment ith reference to the aforesaid objective, the experimental work has been planned in the following sequence. I. Preparation of flat rectangular specimen of thickness 1mm. (as shown in Fig.1(a)) made of mild steel. II. In some specimen arrays of hole (of size 1mm diameter) were made and some specimen were kept as W