Skip to Main content Skip to Navigation
Journal articles

Analytical expression of mechanical fields for Gurson type porous models

Abstract : In this work, analytical expressions of mechanical fields are provided for strain hardening thermo-viscoplastic porous materials containing spheroidal voids subjected to homogeneous strain rate loading. Explicit relationships are provided for the macroscopic stress, the plastic multiplier, the effective equivalent plastic strain rate in the matrix when the constitutive behavior of the porous medium is of Gurson type model. Axisymmetric and non-axisymmetric loadings are considered. The behavior of the porous material is governed by the model developed by Gologanu et al. (Gologanu, M., Leblond, J.-B., Perrin, G., Devaux, J., 1997, CISM Courses and lectures, 377, 61–130). The particular case of the Gurson model (Gurson, A. L., 1977, ASME Journal of Engineering Materials and Technology 99, 2–15) is also investigated since it is widely adopted in the literature for analytical modeling or finite elements calculations. Various matrix behaviors are considered. The matrix is first considered as rigid perfectly plastic. Interestingly, the approach is also valid for nonlinear viscoplastic material with work hardening and temperature dependency. Extensions are also considered when the matrix material is orthotropic. Finally, the numerical implementation is discussed and it is shown that by adopting the proposed approach, the efficiency of the radial return algorithm can be improved.
Document type :
Journal articles
Complete list of metadata

https://hal.univ-lorraine.fr/hal-03229005
Contributor : Sebastien Mercier <>
Submitted on : Tuesday, May 18, 2021 - 3:39:59 PM
Last modification on : Tuesday, May 25, 2021 - 2:17:12 PM

Links full text

Identifiers

Citation

C. Sartori, Sébastien Mercier, A. Molinari. Analytical expression of mechanical fields for Gurson type porous models. International Journal of Solids and Structures, Elsevier, 2019, 163, pp.25-39. ⟨10.1016/j.ijsolstr.2018.11.034⟩. ⟨hal-03229005⟩

Share

Metrics

Record views

10