Plastic potentials for anisotropic porous solids

By A. A. Benzerga, J. Besson. 2001

361 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/a9fb5496cebedacdeb6dcc645349f84b98aaae45

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In Materials Chemistry

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Citations in the corpus

Ductile Fracture by Void Growth to Coalescence (2010, methodology): “Figure 20 shows typical results corresponding to a relatively simple type of anisotropy considered by Benzerga and Besson (2001), except that the results here include the stage of void coalescence.”
Ductile fracture initiation and propagation modeling using damage plasticity theory (2008, methodology): “This line of damage models often rely on the global mechanical response of some kind of microscopic representative volume structure, such as Gurson [5], Tvergaard [6], Rousselier [7] and Benzerga [8,9].”
Continuum Models of Ductile Fracture: A Review (2010, methodology): “The micromechanical Gurson-type analysis carried out by Benzerga and Besson (2001) shows that the previous equation can be rigorously derived in the case of Hill’s criterion.”
Ductile failure modeling (2016, methodology): “Regarding the effect of anisotropy the Gurson model was extended in [24] to consider a spherical void embedded in an elastic-plastic matrix that obeys Hill’s quadratic yield condition [25].”
Micromechanically-motivated phenomenological Hosford–Coulomb model for predicting ductile fracture initiation at low stress triaxialities (2015, background): “…behavior of mildly porous metals (e.g. Gurson (1977), Tvergaard (1981), Mear and Hutchinson (1985), Gologanu et al. (1993), Leblond et al. (1995), Benzerga and Besson (2001), Molinari and Mercier (2001), Monchiet et al. (2008), Nahshon and Hutchinson (2008), Danas and Ponte Castañeda (2012)).”
Void growth and coalescence in single crystals (2010, methodology): “As explained by Benzerga and Besson (2001), the effect of h is a scalar effect independent of the damage anisotropy which will also be affected by the plastic anisotropy of the matrix. As a first qualitative attempt to justify the dependence of the void growth rate on the crystal orientation, we hav”
Development of the Local Approach to Fracture over the Past 25 years: Theory and Applications (2006, methodology): “Following the method used by Gurson [45] a yield surface for a plastically anisotropic material described by Hill quadratic criterion has been derived (Benzerga [57], Benzerga and Besson [58] ), assuming that the cavities remain spherical :”
Macroscopic yield criteria for plastic anisotropic materials containing spheroidal voids (2008, background): “Thus, the proposed criterion (52) reduces to: ( Σeq σ0 )2 + 2f cosh { κΣh σ0 } − 1− f 2 = 0 with : κ = 3 p = 3 2 √ 5 2h1 + h2 + 2h3 (54) which is Benzerga and Besson [2] approximate yield criterion for porous solids made of an orthotropic matrix obeying Hill’s [19] plastic criterion and containing s”
A constitutive model for plastically anisotropic solids with non-spherical voids (2010, methodology): “An important formal difference with the model of Benzerga and Besson (2001) is that the fourth order tensor H, which may be termed the macroscopic plastic anisotropy tensor, is different from the microscopic anisotropy tensor h.”