Abstract
We are primarily concerned in this paper with the problem of plasticity. The solution of the problem of stress-increment for plasticity can be put into extremely compact form by famous Dirac matrices and Pauli matrices of quantum electrodynamics.
Similar content being viewed by others
References
Shen Hui-chuan, The fission of spectrum line of monochoromatic elastic wave,Appl. Math. Mech.,5, 4 (1984), 1509–1519.
Shen Hui-chuan, The solution of deflection of elastic thin plate by the joint action of dynamical lateral pressure, force in central surface and external field on the elastic base,Appl. Math. Mech.,5, 6 (1984), 1791 - 1801.
Shen Hui-chuan, General solution of elastodynamics,Appl. Math. Mech.,6, 9 (1985), 853 - 858.
Shen Hui-chuan, The Schrödinger equation of thin shell theories,Appl. Math. Mech.,6, 10 (1985), 957–973.
Shen Hui-chuan, The general solution of problems for ideal plasticity,Nature Journal,8, 11 (1985), 846–848. (in Chinese)
Shen Hui-chuan, On the general equations, double harmonic equation and eigen-equation in the problems of ideal plasticity,Appl. Math. mech.,7, 1 (1986).
Dirac. P.A.M.,The Principles of Quantum Mechanics, Oxford (1958).
Van der Waerden B.L.,Group Theory and Quantum Mechanics, Springer-Verlag (1974)
Chien Wei-zang,Calculus of Variations and Finite Unit (I), Science Press (1980), 578–598. (in Chinese)
Ley Koo, E. Wang and R.C. Wang, Charged Spin-1/2 particles in uniform electrical field,Journal of China University of Science and Technology,13, 2 (1983), 167.
Duffin, R.J., On the characteristic matrices of covariant systems,Phys. Rev.,54 (1938), 1114.
Kemmer, N., The particle aspect of meson theory,Proc. Roy. Soc.,173 (1939), 91 - 116.
Author information
Authors and Affiliations
Additional information
Communicated by Chien Wei-zang
Rights and permissions
About this article
Cite this article
Hui-chuan, S. The application of Dirac matrices and Pauli matrices for the theory of plasticity. Appl Math Mech 8, 181–187 (1987). https://doi.org/10.1007/BF02019091
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02019091