Nonlinear sequentially laminates reproducing hollow sphere assemblages

M. I. IDIART

Comptes Rendus Mecanique

Elsevier

Año: 2007 vol. 335 p. 363 - 368

1631-0721

A special class of nonlinear porous materials with isotropic `sequentially laminated' microstructures is found to reproduce exactly the hydrostatic behavior of `hollow sphere assemblages'. It is then argued that this result supports the conjecture that Gurson's approximate criterion for plastic porous materials, and its viscoplastic extension of Leblond et al. (1994), may actually yield rigorous upper bounds for the hydrostatic flow stress of porous materials containing an isotropic, but otherwise arbitrary, distribution of porosity.