Non-uniform distributions of initial porosity in metallic materials affect the growth rate of necking instabilities in flat tensile samples subjected to dynamic loading

N'souglo, Komi Espoir; Rodríguez-Martínez, J.A.

doi:10.1016/j.mechrescom.2018.05.004

Cited by 7 publications

(5 citation statements)

References 24 publications

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“…from Srivastava et al (2014) andRodríguez-Martínez (2018). In section 4 we carry out a parametric analysis to investigate the effect of initial porosity, strain hardening and plastic anisotropy in the cavitation fields.…”

Section: Materials Parametersmentioning

confidence: 99%

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Dynamic cylindrical cavity expansion in orthotropic porous ductile materials

Santos

Vaz-Romero

Rodríguez-Martínez

2019

International Journal of Impact Engineering

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This paper investigates the steady-state elastoplastic fields induced by a pressurized cylindrical cavity expanding dynamically in an anisotropic porous medium. For that task, we have developed a theoretical model which: (i) incorporates into the formalism developed by Cohen and Durban (2013b) the effect of plastic anisotropy using the constitutive framework developed by Benzerga and Besson ( 2001) and (ii) uses the artifical viscosity approach developed by Lew et al. (2001) to capture the shock waves that emerge at high cavity expansion velocities. We have shown that while the development of the shock waves is hardly affected by the material anisotropy, the directionality of the plastic properties does have an effect on the elastoplastic fields that evolve near the cavity. The importance of this effect is strongly dependent on the cavity expansion velocity, the initial porosity and the strain hardening of the material. In addition, the theoretical model has been used in conjunction with the Recht and Ipson (1963) formulas to assess the ballistic performance of porous anisotropic targets against high velocity perforation.

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Section: Materials Parametersmentioning

confidence: 99%

“…(4) 0.00429 K Anisotropy coefficient, Eq. (15) 0.75, 1, 1.5, 2 f 0 Initial void volume fraction 0, 0.001, 0.01, 0.1 Srivastava et al (2014) and N'souglo and Rodríguez-Martínez (2018).…”

Section: Theoretical Modelmentioning

confidence: 99%

Dynamic cylindrical cavity expansion in orthotropic porous ductile materials

Santos

Vaz-Romero

Rodríguez-Martínez

2019

International Journal of Impact Engineering

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“…Note that void nucleation is not considered in the present analysis. Hence, if the initial void volume fraction (Srivastava et al, 2014;N'souglo and Rodríguez-Martínez, 2018). VVF stands for void volume fraction (porosity).…”

Section: Constitutive Frameworkmentioning

confidence: 99%

“…(1), and the flow strength of the matrix material, Eq. (3), taken from Srivastava et al (2014) andN'souglo andRodríguez-Martínez (2018), are given in Table 1. Note that the average initial void volume fraction, from now indistinctly referred to as porosity, is the average value of initial porosity over the whole sample, see section 3.1 for details.…”

Section: Constitutive Frameworkmentioning

confidence: 99%

“…The specimens with uniform distribution of porosity are modelled assigning the same value of f 0 to all the nodes of the mesh. The specimens with non-uniform distribution of porosity are modelled using the methodology developed by N'souglo and Rodríguez-Martínez (2018). Namely, the average value of the initial porosity in the sample f 0 is obtained assigning finite (positive) values of initial porosity only to some nodes (and zero to the others).…”

Section: Porosity Distributionmentioning

confidence: 99%

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Dynamic spherical cavity expansion in Gurson materials with uniform and non-uniform distributions of porosity

Santos

N'souglo

Rodríguez-Martínez

2019

Mechanics of Materials

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This paper investigates both theoretically and using finite elements the elastoplastic field induced by a pressurized spherical cavity expanding dynamically in an infinite medium modelled using the Gurson-Tvergaard-Needleman porous plasticity approach. The theoretical model, which assumes that the porosity is uniformly distributed in the material and the cavitation fields are self-similar, incorporates artificial viscous stresses into the original formulation of Cohen and Durban (2013b) to capture the shock waves that emerge at high cavitation velocities. The finite element calculations, performed in ABAQUS/Explicit (2013) using the Arbitrary Lagrangian Eulerian adaptive meshing available in the code, simulate the cavity expansion process in materials with uniform and non-uniform distributions of porosity. The finite element results show that the distribution of porosity has small influence on the cavitation velocity, as well as on the location of the shock wave, which are primarily determined by the cavity pressure and the average material properties. In contrast, it is shown that the intensity of the shock wave, evaluated based on the maximum value of the plastic strain rate within the shock, depends on the local material porosity. The ability of the theoretical model to reproduce the numerical results obtained for the various distributions of porosity used in this work is exposed and discussed.

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Finite Element Modeling of Tensile Instability of Sheet Metals Considering Nonuniform Mechanical Properties

Tang

Wen

Zhou

et al. 2022

J. of Materi Eng and Perform

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Non-uniform distributions of initial porosity in metallic materials affect the growth rate of necking instabilities in flat tensile samples subjected to dynamic loading

Abstract: uniform distributions of initial porosity in metallic materials affect the growth rate of necking instabilities in flat tensile samples subjected to dynamic loading, in:

Cited by 7 publications

References 24 publications

Dynamic cylindrical cavity expansion in orthotropic porous ductile materials

Dynamic cylindrical cavity expansion in orthotropic porous ductile materials

Dynamic spherical cavity expansion in Gurson materials with uniform and non-uniform distributions of porosity

Finite Element Modeling of Tensile Instability of Sheet Metals Considering Nonuniform Mechanical Properties

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