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| Plastic limit load and failure analyses of perforated materials |
| Revised:December 27, 2001 |
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| DOI：10.7511/jslx20033053 |
| KeyWord:perforated material,limit analysis,homogenization theory,microstructure |
| Li Huaxiang Liu Yinghua Feng Xiqiao Cen Zhangzhi |
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| Abstract: |
| A numerical method is presented in this paper for determining the load\|bearing capacities and failure modes of the perforated materials with ductile matrix by means of the kinematic limit theorem. Based on a representative volume element reflecting the microstructure of a perforated material, the plastic limit loads can be calculated by introducing the homogenization theory into the kinematic limit theorem. The finite element modeling of the kinematic limit analysis is formulated as a nonlinear mathematical programming with equality\|constraint conditions, which can be solved by a direct iterative algorithm. Numerical examples show that the effect of microscopic holes on the macroscopic strength of materials is intensive, that the microscopic holes will expand under uniaxial loads and that the failure of materials is due to the linking of plastic areas. |