Shen Hui-chuan. On the General Equations, Double Hormonic Equation and Eigen-Equation in the Problems of Ideal Plasticity[J]. Applied Mathematics and Mechanics, 1986, 7(1): 61-72.
Citation: Shen Hui-chuan. On the General Equations, Double Hormonic Equation and Eigen-Equation in the Problems of Ideal Plasticity[J]. Applied Mathematics and Mechanics, 1986, 7(1): 61-72.

On the General Equations, Double Hormonic Equation and Eigen-Equation in the Problems of Ideal Plasticity

  • Received Date: 1984-10-31
  • Publish Date: 1986-01-15
  • In this paper the outcome of axisymmetric problems of ideal plasticity in paper [39], [19] and [37] is directly extended to the three-dimensional problems of ideal plasticity, and get at the general equation in it. The problem of plane strain for material of ideal rigid-plasticity can be solved by putting into double harmonic equation by famous Pauli matrices of quantum electrodynamics different from the method in paper [7]. We lead to the eigen equation in the problems of ideal plasticity, taking partial tenson of stress-increment as eigenfunctions, and we are to transform from nonlinear equations into linear equation in this paper.
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