The Nucleation of Cavities by Plastic Deformation

Goods, S.H.; Brown, L. M.

doi:10.1016/b978-0-08-030541-7.50007-2

Cited by 116 publications

(130 citation statements)

References 32 publications

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“…A necessary condition for the nucleation of a microvoid, by decohesion of the partic1e-matrix interface, is that the elastic strain energy released by the particle must be greater than or equal to the energy created by the new surfacees) (Goods and Brown (1979), Thomason (1990), Anderson (1995), Argon and Safoglu (1975), Gurland and Plateau (1963), Garrison and Moody (1987), Wilsdorf (1983), Stone et al (1985) and Tanaka et al (1970)). The local stress caused by dislocation pile-up due to a far field stress which adds to the stress requirement for particle matrix decohesion has been shown by Brown and Stobbs (1976) to be expressed by:…”

Section: Y\mentioning

confidence: 99%

“…As a most widely known dislocation based mode l, Goods and Brown (1979) presented another model based on smaller particle sizes. A necessary condition for the nucleation of a microvoid, by decohesion of the partic1e-matrix interface, is that the elastic strain energy released by the particle must be greater than or equal to the energy created by the new surfacees) (Goods and Brown (1979), Thomason (1990), Anderson (1995), Argon and Safoglu (1975), Gurland and Plateau (1963), Garrison and Moody (1987), Wilsdorf (1983), Stone et al (1985) and Tanaka et al (1970)).…”

Section: Y\mentioning

confidence: 99%

“…On the other hand, there has been much debate as to whether or not the nucleation of cavities or voids are due to a critical strain or a critical stress as the nucleation of voids involve both stress and strain energy release. Sorne argued (Goods and Brown (1979)) that there must be sorne threshold value of far-field strain below which, there is either insufficient stress to break the interface between particles and matrix or insufficient strain energy available for the creation of new internaI surfaces.…”

Section: Void Nucleationmentioning

confidence: 99%

“…Another consideration, which should be realized is that modeling void nucleation could be do ne on different levels based on the sizes of cavities and inclusions being considered (Thomason (1990), Goods and Brown (1979), Argon and Safoglu (1975) A review on void nucleation, growth and coalescence models is comprehensively given in the literature and is not provided here. Excellent reviews are given by Stone et al (1985), Garrison and Moody (1987) and Wilsdorf (1983).…”

Section: Void Nucleationmentioning

confidence: 99%

“…Thus, the elevated local stress, (Jji' on the particle interface is given by (Goods and Brown (1979)):…”

Section: 19mentioning

confidence: 99%

See 4 more Smart Citations

Micromechanical modeling of dual phase steels

Al-Abbasi

Nemes

2003

International Journal of Mechanical Sciences

138

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Section: Y\mentioning

confidence: 99%

Section: Y\mentioning

confidence: 99%

Section: Void Nucleationmentioning

confidence: 99%

Section: Void Nucleationmentioning

confidence: 99%

“…Thus, the elevated local stress, (Jji' on the particle interface is given by (Goods and Brown (1979)):…”

Section: 19mentioning

confidence: 99%

See 3 more Smart Citations

Micromechanical modeling of dual phase steels

Al-Abbasi

Nemes

2003

International Journal of Mechanical Sciences

138

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Energy Estimates and Cavity Interaction for a Critical‐Exponent Cavitation Model

Henao

Serfaty

2012

Comm Pure Appl Math

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We consider the minimization of $\int_{\Omega _\varepsilon } {|D{\bf u}|^p } d{\bf x}$ in a perforated domain $\Omega _\varepsilon : = \Omega \backslash \cup _{i = 1}^M B_\varepsilon ({\bf a}_i )$ of $\font\open=msbm10 at 10pt\def\R{\hbox{\open R}}\R^n$ among maps $\font\open=msbm10 at 10pt\def\R{\hbox{\open R}}{\bf u} \in W^{1,p} (\Omega _\varepsilon ,\R^n )$ that are incompressible (det $D{\bf u} \equiv 1$) and invertible, and satisfy a Dirichlet boundary condition u = g on ∂Ω. If the volume enclosed by g(∂Ω) is greater than |Ω|, any such deformation u is forced to map the small holes Bε(ai) onto macroscopically visible cavities (which do not disappear as ε → 0). We restrict our attention to the critical exponent p = n, where the energy required for cavitation is of the order of $\sum\nolimits_{i = 1}^M {v_i |\log \varepsilon |}$ and the model is suited, therefore, for an asymptotic analysis (v1,…, vM denote the volumes of the cavities). In the spirit of the analysis of vortices in Ginzburg‐Landau theory, we obtain estimates for the “renormalized” energy showing its dependence on the size and the shape of the cavities, on the initial distance between the cavitation points a1,…,aM, and on the distance from these points to the outer boundary ∂Ω. Based on those estimates we conclude, for the case of two cavities, that either the cavities prefer to be spherical in shape and well separated, or to be very close to each other and appear as a single equivalent round cavity. This is in agreement with existing numerical simulations and is reminiscent of the interaction between cavities in the mechanism of ductile fracture by void growth and coalescence. © 2012 Wiley Periodicals, Inc.

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Specimen preparation by ion beam slope cutting for characterization of ductile damage by scanning electron microscopy

Besserer

Gerstein

Maier

et al. 2016

Microscopy Res & Technique

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To investigate ductile damage in parts made by cold sheet-bulk metal forming a suited specimen preparation is required to observe the microstructure and defects such as voids by electron microscopy. By means of ion beam slope cutting both a targeted material removal can be applied and mechanical or thermal influences during preparation avoided. In combination with scanning electron microscopy this method allows to examine voids in the submicron range and thus to analyze early stages of ductile damage. In addition, a relief structure is formed by the selectivity of the ion bombardment, which depends on grain orientation and microstructural defects. The formation of these relief structures is studied using scanning electron microscopy and electron backscatter diffraction and the use of this side effect to interpret the microstructural mechanisms of voids formation by plastic deformation is discussed. A comprehensive investigation of the suitability of ion beam milling to analyze ductile damage is given at the examples of a ferritic deep drawing steel and a dual phase steel.

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The Nucleation of Cavities by Plastic Deformation

Cited by 116 publications

References 32 publications

Micromechanical modeling of dual phase steels

Micromechanical modeling of dual phase steels

Energy Estimates and Cavity Interaction for a Critical‐Exponent Cavitation Model

Specimen preparation by ion beam slope cutting for characterization of ductile damage by scanning electron microscopy

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