Summary
Based on the unified strength theory the unified characteristics field theory for plastic plane stress problem is described in this chapter. It is the unification of the plastic characteristics methods based on the Tresca criterion, the Huber-von Mises criterion and the twin-shear yield criterion. A series of new results can be also obtained by using the unified characteristics field theory. The strength-differential effect (SD effect and the effect of intermediate principal stress are taken into account in the unified characteristics field theory.
The unified solutions of two examples, i.e. an infinite thin plate with a hole and a trapezoidal plate under compression, are given. It concludes a series of new results.
The discontinuous bifurcations problems under plane stress are also studied by using the unified strength theory in this chapter.
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(2006). Unified Characteristics Field Theory for Plane Stress Problem. In: Generalized Plasticity. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-30433-9_11
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DOI: https://doi.org/10.1007/3-540-30433-9_11
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