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Generalized Plasticity pp 322–350Cite as

Unified Characteristics Line Theory for Spatial Axisymmetric Problem

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Summary

The characteristics line theory for spatial axisymmetric plastic problem is very important in the plasticity and engineering.

The unified characteristics line field theory of spatial axisymmetric problem and its applications are described in this chapter. The effects of the intermediate principle stress σ2 and the SD effect of materials are taken into account in the unified characteristics field theory. A series of characteristics line field for spatial axisymmetric problem suitable for different kinds of materials can be derived from the new theory, the previous theories are special cases or linear approximation of the unified characteristics line theory. The new theory can be applied to the limit analysis of spatial axisymmetric plastic problems in plasticity and engineering.

Based on the cylindrical cavity-expansion theory and the unified strength theory, a unified plastic-damage model is proposed for penetration problems. The proposed model is used to simulate penetration of a long-rod into a concrete target. The spatial axisymmetric characteristics line theory is used for the analysis of quasi-static normal penetration of a long-rod. The results show that: (1) The rod mass has obvious affect on the final penetration depth; (2) By comparison with the available test date, it appears that the proposed procedure is effective for penetration analysis. The test results are situated within the analysis results (0<b<1); (3) When the initial impact velocity of a rod is higher than 1500m/s, the material behaviour and penetration process of rods and targets will change significantly.

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© 2006 Springer-Verlag Berlin Heidelberg

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(2006). Unified Characteristics Line Theory for Spatial Axisymmetric Problem. In: Generalized Plasticity. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-30433-9_12

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  • DOI: https://doi.org/10.1007/3-540-30433-9_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25127-9

  • Online ISBN: 978-3-540-30433-3

  • eBook Packages: EngineeringEngineering (R0)

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