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OCTOBER 19-20, 2012 - YMCA University of Science & Technology

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Proceedings <strong>of</strong> the National Conference on<br />

Trends and Advances in Mechanical Engineering,<br />

<strong>YMCA</strong> <strong>University</strong> <strong>of</strong> <strong>Science</strong> & <strong>Technology</strong>, Faridabad, Haryana, Oct <strong>19</strong>-<strong>20</strong>, <strong>20</strong>12<br />

0.34<br />

0.32<br />

0.3<br />

0.28<br />

COD<br />

0.26<br />

0.24<br />

0.22<br />

0.2<br />

0.18<br />

0.16<br />

0 <strong>20</strong> 40 60 80 100 1<strong>20</strong> 140 160 180 <strong>20</strong>0<br />

TIME<br />

Figure 8:COD for the strip having 10% <strong>of</strong> inclusion.<br />

6. Conclusions and Discussion<br />

The FEM was applied to solve crack problems in linear viscoelastic materials using Prony series parameters. One<br />

problem <strong>of</strong> mode I with two groups <strong>of</strong> Prony series parameters was examined to check the validity <strong>of</strong> the current<br />

method. Through the comparison with analytical solutions from the literature, the present method proved to be<br />

accurate and efficient. When alumina particles have been in the form inclusion, the COD reduced due the<br />

stiffening effect. In future this viscoelastic cracked model will also be used to analyze the effect <strong>of</strong> voids and<br />

discontinuity on the fracture behavior <strong>of</strong> viscoelastic materials.<br />

References<br />

[1] K.Y. Sze, Hai-tao Wang, A simple finite element formulation for computing stress singularities at<br />

bimaterial interfaces, Finite Elements in Analysis and Design, 35 (<strong>20</strong>00) 97-118.<br />

[2] R. MoutouPitti, F. Dubois, O. Pop, J. Absi, A finite element analysis for the mixed mode crack growth in a<br />

viscoelastic and orthotropic medium, International Journal <strong>of</strong> Solids and Structures, 46 (<strong>20</strong>09) 3548-3555.<br />

[3] Richard M. Christensen, Theory <strong>of</strong> Viscoelasticity, 2 nd ed., New York: Academic Press, <strong>19</strong>82.<br />

[4] Kong Juan, Yuan Ju-yun, Application <strong>of</strong> linear viscoelastic differential constitutive equation in ABAQUS,<br />

<strong>20</strong> I 0, International Conference on Computer Design and Appliations (ICCDA <strong>20</strong>10).<br />

[5] Simulia, Abaqus 6.11 Analysis User’s Manual, Volume III: Materials, <strong>20</strong>11<br />

[6] Roderic Lakes, Viscoelastic Solid, CRC Press, Florida, <strong>19</strong>98.<br />

[7] H.H. Zhang, G.Rong, L.X.Li, Numerical study on deformations in a cracked viscoelastic body with the<br />

extended finite element method, Engineering Analysis with Boundary Elements 34 (<strong>20</strong>10) 6<strong>19</strong>–624.<br />

[8] J.B. Duan, Y. J. Lei ,D.K.Li, Fracture analysis <strong>of</strong> linear viscoelastic materials using triangular enriched<br />

crack tip elements,Finite Elements in Analysis and Design 47 (<strong>20</strong>11) 1157–1168.<br />

500

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