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Numerical and Experimental Analysis of General Mixed Mode I/II/III Fracture of Polymethyl Methacrylate

Hokstad, Haakon Lie
Master thesis
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http://hdl.handle.net/11250/2562112
Utgivelsesdato
2018
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  • Institutt for maskinteknikk og produksjon [2530]
Sammendrag
Mixed mode loading often has a significant effect on fracture behaviour in components.

Cracks is in many cases the reason for failure or fracture of a component. All

of the mechanisms of cracks and fracture behaviour are still not completely known.

This also applies for the three dimensional loading case of mixed mode I/II/III.

This thesis will therefore study the existing theory on two dimensional, and three

dimensional mixed mode loading. Mixed mode I/II/III brittle fracture behaviour of

polymethyl methacrylate, PMMA, will be studied experimentally and theoretically,

using pre-cracked CTS specimens. This specimens contains pre-cracks and will be

subjected to different mixed mode loading conditions, ranging from pure mode I to

pure mode II and pure mode III. During this thesis, a mixed mode I/II/III loading

device were designed and used for the experimental procedure. Experiments were

conducted on all twenty five combinations of the loading device. The presented

mixed mode loading device allowed mixed mode I/II/III loading combinations in

steps of 22:5, for in and out of plane rotations. After the conducted experiments,

fracture loads were obtained. In-plane crack initiation angles and out of plane crack

initiation angles were measured for all of the fractured specimens. These experimentally

obtained results were then compared with predictions of various fracture

criteria. Maximum tangential stress criterion, MTS, generalized maximum tangential

stress criterion, GMTS, and the criterion by Richard were used for numerical

predictions in this thesis. Numerical analysis were conducted by obtaining results

from three-dimensional finite element simulations in Abaqus, and applying them in

different fracture criteria. The criteria showed a good relation with experimentally

obtained angles.
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