Finite deformation crack-line fields in a thin elasto-plastic sheet

Nishimura, Naoshi; Achenbach, Jan Drewes

doi:10.1016/0022-5096(86)90034-7

Cited by 4 publications

(1 citation statement)

References 14 publications

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“…Since there is little difference between the two corresponding stress fields for small values of & and &, distinguishing one from the other with finite element methods proves to be difficult. Nevertheless, according to the arguments given in [21,22,23], it is reasonable to choose the case of the mode I limit of the mixed-mode solutions as the mode I crack-tip field under small-scale yielding conditions within the context of plane-stress theory. Investigations of the three-dimensional fields and the effects of tip blunting for a crack in a thin sheet subject to mode I loading can be found in [24,25].…”

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confidence: 99%

Plane-stress mixed-mode near-tip fields in elastic perfectly plastic solids

Dong

Pan

1990

Engineering Fracture Mechanics

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Within the context of the small-strain approach, the plane-stress mixed-mode near-tip fields of a stationary crack in an elastic perfectly plastic solid under small-scale yielding conditions are examined by finite element methods. The finite element results show that asymptotically at the crack tip two elastic sectors exist under near mode I mixed-mode loading conditions, and one elastic sector exists under near mode II mixed-mode loading conditions. The fully yielded near-tip field, plastically deformed at all angles, is obtained only under pure mode II loading conditions. The corresponding asymptotic crack-tip solutions (consisting of constant stress sectors, curved fan sectors, and elastic sectors) are also constructed. The asymptotic crack-tip stress solutions agree well with the finite element results for the complete range of mixed-mode loadings. Some similarities and differences between the near-tip fields under plane-stress and plane-strain conditions are also discussed.

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confidence: 99%