Abstract
The mechanical response of metal-ceramic composites is analysed through a homogenization model accounting for the mechanical behaviour of the constituent materials. In order to achieve this purpose a nonlinear homogenization method based on the phase field approach has been suitably implemented into a numerical code. A prescribed homogenized strain state is applied to a unit volume element of a metal-ceramic composite with proportional loading in which all components of the strain tensor are proportional to one scalar parameter. The mechanical response of the material has been modeled by considering a von Mises plasticity model for the metal phase and a Drucker-Prager associative elastic-plastic material model for the ceramic phase. A two stages plasticity has been obtained in which inelastic strain develops in the metal phase followed by a fully plastic response. A comparison with a finite element model of the stress-strain response of an axisymmetric unit cell has been carried out with the purpose to validate the homogenization based modeling presented in the paper. Plastic parameters of a Drucker-Prager yield surface for the homogenized composite have been calculated at different materials compositions. Associative Drucker-Prager plasticity has been found to be accurate for high ceramic content.
| Original language | English |
|---|---|
| Pages (from-to) | 483-508 |
| Number of pages | 26 |
| Journal | International Journal of Plasticity |
| Volume | 24 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Mar 2008 |
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Keywords
- Drucker-prager plasticity
- Metal-ceramic composites
- Non linear homogenization
ASJC Scopus subject areas
- Mechanical Engineering
Cite this
Determination of the effective elastic-plastic response of metal-ceramic composites. / Vena, P.; Gastaldi, D.; Contro, R.
In: International Journal of Plasticity, Vol. 24, No. 3, 03.2008, p. 483-508.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Determination of the effective elastic-plastic response of metal-ceramic composites
AU - Vena, P.
AU - Gastaldi, D.
AU - Contro, R.
PY - 2008/3
Y1 - 2008/3
N2 - The mechanical response of metal-ceramic composites is analysed through a homogenization model accounting for the mechanical behaviour of the constituent materials. In order to achieve this purpose a nonlinear homogenization method based on the phase field approach has been suitably implemented into a numerical code. A prescribed homogenized strain state is applied to a unit volume element of a metal-ceramic composite with proportional loading in which all components of the strain tensor are proportional to one scalar parameter. The mechanical response of the material has been modeled by considering a von Mises plasticity model for the metal phase and a Drucker-Prager associative elastic-plastic material model for the ceramic phase. A two stages plasticity has been obtained in which inelastic strain develops in the metal phase followed by a fully plastic response. A comparison with a finite element model of the stress-strain response of an axisymmetric unit cell has been carried out with the purpose to validate the homogenization based modeling presented in the paper. Plastic parameters of a Drucker-Prager yield surface for the homogenized composite have been calculated at different materials compositions. Associative Drucker-Prager plasticity has been found to be accurate for high ceramic content.
AB - The mechanical response of metal-ceramic composites is analysed through a homogenization model accounting for the mechanical behaviour of the constituent materials. In order to achieve this purpose a nonlinear homogenization method based on the phase field approach has been suitably implemented into a numerical code. A prescribed homogenized strain state is applied to a unit volume element of a metal-ceramic composite with proportional loading in which all components of the strain tensor are proportional to one scalar parameter. The mechanical response of the material has been modeled by considering a von Mises plasticity model for the metal phase and a Drucker-Prager associative elastic-plastic material model for the ceramic phase. A two stages plasticity has been obtained in which inelastic strain develops in the metal phase followed by a fully plastic response. A comparison with a finite element model of the stress-strain response of an axisymmetric unit cell has been carried out with the purpose to validate the homogenization based modeling presented in the paper. Plastic parameters of a Drucker-Prager yield surface for the homogenized composite have been calculated at different materials compositions. Associative Drucker-Prager plasticity has been found to be accurate for high ceramic content.
KW - Drucker-prager plasticity
KW - Metal-ceramic composites
KW - Non linear homogenization
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U2 - 10.1016/j.ijplas.2007.07.001
DO - 10.1016/j.ijplas.2007.07.001
M3 - Article
VL - 24
SP - 483
EP - 508
JO - International Journal of Plasticity
JF - International Journal of Plasticity
SN - 0749-6419
IS - 3
ER -