4/13/2023 0 Comments Maximum action crackSolution Equations (2.27) and (2.28) can be rewritten as One of such method is due to Westergaard, who introduced the following stress function,įig.2.10 A crack of length 2a in an infinite plateĮxample 2.4 Estimate the relative size of the singularity dominated zone ahead of a through crack in an infinite plate subjected to remote uniaxial tension. A cracked body in reality can be loaded in any one of these three, or a combination of these three modes.įig.2.9 Basic modes of crack extension (a) opening mode, (b) sliding mode, and (c) tearing mode.īy means of various techniques, the stress, strain, and displacement fields associated with a crack embedded in an elastic solid can be solved analytically. The difference between Mode II and Mode III is that the shearing action in the former case is normal to the crack front in the plane of the crack whereas the shearing action in Mode III is parallel to the crack front. Mode I corresponds to normal separation of the crack faces under the action of tensile stresses, which is by far the most widely encountered in practice. As shown in Fig.2.9, the three basic modes are: opening (mode I), in-plane shear (mode II) and out-of-plane tearing (mode III). Before proceeding to consider the stress analysis of cracked bodies, it is important to distinguish basic "modes" of stressing.
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