Abstract
The problem of peeling an elastoplastic strip from a rigid substrate is re-examined. The mechanics of combined flow and fracture are expressed algebraically, and in terms of work areas both under load and unloaded. The importance of residual elastic strain energy becomes apparent in the analysis and it is shown that determinations of work of fracture from partitioned areas may be significantly in error if residual strain energy is neglected. The extension of the treatment to cohesive fracture is discussed, and it is shown that Turner's I term relating to unloaded work areas should include a residual strain energy component. As an algebraic solution to the problem is available over the whole range of elastoplastic fracture, it is possible to construct an R6 failure assessment diagram over the whole range of deformation.
Résumé
On réexamine le problème du pelage d'une bande élastoplastique d'un substrat rigide. On exprime la mécanique combinée d'écoulement et de rupture par voie algébrique, et en termes de surface de travail, selon qu'il y ait charge ou non. L'importance de l'énergie de déformation élastique résiduelle apparaît dans l'analyse, et l'on montre que le travail de rupture relatif aux surfaces séparées risque d'être déterminé avec une erreur significative si on néglige l'énergie résiduelle de déformation. On discute de l'extension du traitement à la rupture par décohésion, et on montre que le terme I de Turner raltif aux surfaces de travail non sollicitées devrait inclure une composante d'énergie de déformation résiduelle.
Comme une solution algébrique est disponsible pour le problème sur toute la gamme du régime élastoplastique de rupture, il est possible d'élaborer un diagramme RG d'établissement des conditions de rupture sur toute la gamme des déformations possibles.
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Atkins, A.G., Mai, Y.W. Residual strain energy in elastoplastic adhesive and cohesive fracture. Int J Fract 30, 203–221 (1986). https://doi.org/10.1007/BF00019777
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DOI: https://doi.org/10.1007/BF00019777