YANG Feng, GUO Ran. Study on Contact Algorithms for the Polygonal Hybrid Stress Element Method[J]. Applied Mathematics and Mechanics, 2019, 40(10): 1059-1070. doi: 10.21656/1000-0887.400046
Citation: YANG Feng, GUO Ran. Study on Contact Algorithms for the Polygonal Hybrid Stress Element Method[J]. Applied Mathematics and Mechanics, 2019, 40(10): 1059-1070. doi: 10.21656/1000-0887.400046

Study on Contact Algorithms for the Polygonal Hybrid Stress Element Method

doi: 10.21656/1000-0887.400046
Funds:  The National Natural Science Foundation of China(11572142)
  • Received Date: 2019-01-25
  • Rev Recd Date: 2019-03-08
  • Publish Date: 2019-10-01
  • In the case of small elements, it is difficult to obtain accurate stress fields and stress concentration with existing nonuniform models. An optimization algorithm for the theory of the PHSEM (polygonal hybrid stress element method) was proposed with the direct restriction method. The advantages of the PHSEM in the construction of stress functions and the division of integral regions make it more suitable for complex model boundaries and material boundaries and easier to realize-element meshing. The complete computing program was made according to the theoretical analysis. The results show that, the PHSEM can obtain macroscopic nonlinear mechanical responses, highly accurate stress fields and obvious stress concentration phenomena in the powder compaction process, which provides an effective means for the solution of the complex optimization problems.
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