Abstract
This paper is devoted to two distinct extensions of Gurson’s (1977) famous model for plastic voided metals. Gurson’s work was based on an approximate limit-analysis of a typical elementary volume in a porous material, namely a hollow sphere subjected to conditions of arbitrary homogeneous boundary strain rate. The first extension envisaged consists in considering a more general geometry, namely a spheroidal volume containing some spheroidal confocal cavity. The aim here is to incorporate void shape effects into Gurson’s model. The second extension again considers a hollow sphere, but now subjected to conditions of inhomogeneous boundary strain rate. The goal is to account for possible strong variations of the macroscopic mechanical fields at the scale of the representative cell (i.e. of the void spacing), as encountered near crack tips.
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Gologanu, M., Leblond, JB., Perrin, G., Devaux, J. (1997). Recent Extensions of Gurson’s Model for Porous Ductile Metals. In: Suquet, P. (eds) Continuum Micromechanics. International Centre for Mechanical Sciences, vol 377. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2662-2_2
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DOI: https://doi.org/10.1007/978-3-7091-2662-2_2
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