ZHENG Ying-ren, KONG Liang, LIU Yuan-xue. Plastic Constitutive Relation and Plastic Constitutive Theory for Engineering Materials[J]. Applied Mathematics and Mechanics, 2014, 35(7): 713-722. doi: 10.3879/j.issn.1000-0887.2014.07.001
Citation: ZHENG Ying-ren, KONG Liang, LIU Yuan-xue. Plastic Constitutive Relation and Plastic Constitutive Theory for Engineering Materials[J]. Applied Mathematics and Mechanics, 2014, 35(7): 713-722. doi: 10.3879/j.issn.1000-0887.2014.07.001

Plastic Constitutive Relation and Plastic Constitutive Theory for Engineering Materials

doi: 10.3879/j.issn.1000-0887.2014.07.001
Funds:  The National Basic Research Program of China (973 Program)(2010CB732100; 2011CB710606)
  • Received Date: 2014-02-24
  • Rev Recd Date: 2014-03-31
  • Publish Date: 2014-07-15
  • Based on deep analysis of the plastic constitutive theory for engineering materials, a more rigorous and general plastic constitutive equation was proposed, which could work as the theoretical basis for constitutive modeling of engineering materials. Then the constitutive relation was applied to 3 kinds of engineering materials, i.e. geotechnical friction materials, metal crystal materials and strength control problems. According to the material properties and requirements of engineering calculation, the constitutive relation could be simplified for the geotechnical friction materials and metal materials respectively. For the strength control engineering problems, the related material could be deemed as perfectly plastic on condition of sufficient plastic deformation, and the yield condition with the limit analysis condition was used to determine the safety factor or ultimate bearing capacity through traditional or numerical limit analysis.
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