Abstract
Following the study of Gologanu et al. (1997) which has extended the well-known approach of Gurson (1975), we propose approximate yield criteria for anisotropic plastic voided metals containing non spherical cavities. The plastic anisotropy of the matrix is described by means of Hill's quadratic criterion. The procedure to establish the closed form expression of approximate macroscopic criteria, in which void shape and plastic anisotropic effects are included, is detailed. The new criteria allow us to recover existing results in the cases of spherical and cylindrical voids in an Hill type plastic matrix. Moreover, they agree with previous criteria for non spherical voids in an isotropic plastic matrix. Finally, for validation purposes, we provide, in the general case of non spherical cavities in the anisotropic matrix, a comparison with the numerical exact two field criteria. To cite this article: V. Monchiet et al., C. R. Mecanique 334 (2006).
Highlights
Void nucleation, growth and coalescence are commonly recognized as the basic micromechanisms of the ductile fracture of metals
Since the pioneering work of Gurson [1] for a hollow sphere in a von Mises perfect plastic matrix, the modelling of voids growth has been the subject of several works performed in the context of ductile damage mechanics
Gologanu et al [2,3], Garajeu et al [5] provide various extensions of the Gurson model by incorporating void shape effects; either prolate and oblate voids are considered in these studies
Summary
Growth and coalescence are commonly recognized as the basic micromechanisms of the ductile fracture of metals. Gologanu et al [2,3] (see [4]), Garajeu et al [5] provide various extensions of the Gurson model by incorporating void shape effects; either prolate and oblate voids are considered in these studies. [6,7,8] deal with void growth in a metal matrix, obeying the Hill quadratic criterion [9]. All these studies are limited to the case of spherical and cylindrical voids. Practical applications of the new criteria can be found in the domain of metal forming (see [10])
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
