A yield criterion for isotropic porous media for the meso-scale range
A macroscopic yield criteria for isotropic porous materials with spherical voids as the represent unit cell modeled by elliptic-equation yield function was derived by considering the matrix as compressible rigid-perfectly plastic. From the yield function, plastic dissipation work of the material was...
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| Veröffentlicht in: | Theoretical and applied fracture mechanics 2012-06, Vol.59 (1), p.57-61 |
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| container_title | Theoretical and applied fracture mechanics |
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| creator | Yu, X.M. Cheng, W. Chen, J.P. |
| description | A macroscopic yield criteria for isotropic porous materials with spherical voids as the represent unit cell modeled by elliptic-equation yield function was derived by considering the matrix as compressible rigid-perfectly plastic. From the yield function, plastic dissipation work of the material was derived for plastic normality flow, and plastic limit analysis on micro-deformation mechanism of the medium was established. The relationship between macroscopic stress or strain rate and meso-structural parameters was deduced by upper-bound theorem. In addition, the macroscopic yield criteria of containing macro equivalent stress versus macro mean stress was established by theoretical derivation, and it could be reduced to a macroscopic yield criteria or Mises criteria at some special cases. Numerical results show that the yield criteria is dependent not only the macro-stresses but also meso-structural parameters, and reasonable agreement between the calculated and the experimental model are obtained. |
| doi_str_mv | 10.1016/j.tafmec.2012.05.008 |
| format | Article |
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From the yield function, plastic dissipation work of the material was derived for plastic normality flow, and plastic limit analysis on micro-deformation mechanism of the medium was established. The relationship between macroscopic stress or strain rate and meso-structural parameters was deduced by upper-bound theorem. In addition, the macroscopic yield criteria of containing macro equivalent stress versus macro mean stress was established by theoretical derivation, and it could be reduced to a macroscopic yield criteria or Mises criteria at some special cases. 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From the yield function, plastic dissipation work of the material was derived for plastic normality flow, and plastic limit analysis on micro-deformation mechanism of the medium was established. The relationship between macroscopic stress or strain rate and meso-structural parameters was deduced by upper-bound theorem. In addition, the macroscopic yield criteria of containing macro equivalent stress versus macro mean stress was established by theoretical derivation, and it could be reduced to a macroscopic yield criteria or Mises criteria at some special cases. Numerical results show that the yield criteria is dependent not only the macro-stresses but also meso-structural parameters, and reasonable agreement between the calculated and the experimental model are obtained.</abstract><cop>Kidlington</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.tafmec.2012.05.008</doi><tpages>5</tpages></addata></record> |
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| ispartof | Theoretical and applied fracture mechanics, 2012-06, Vol.59 (1), p.57-61 |
| issn | 0167-8442 1872-7638 |
| language | eng |
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| subjects | Criteria Derivation Exact sciences and technology Fracture mechanics Fracture mechanics (crack, fatigue, damage...) Fundamental areas of phenomenology (including applications) Inelasticity (thermoplasticity, viscoplasticity...) Macro yield criteria Mathematical analysis Mathematical models Meso-mechanics Physics Plastic limit analysis Porous materials Porous media Solid mechanics Static elasticity (thermoelasticity...) Stresses Structural and continuum mechanics Yield criteria |
| title | A yield criterion for isotropic porous media for the meso-scale range |
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