Abstract
This problem is solved by dividing the quadratic yielding criterion into two linear partial differential equations. With the help of Cauchy's integral, these two linear equations can be easily solved. An example is given to show the calculation of the stress components in the plastic domain and the determination of equation of the boundary line between the plastic and elastic domains.
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References
Prager, William and Hodge, Philip G.,The Theory of Perfectly Plastic Solids, (1951).
Chien Wei-zang, Yeh Kai-yuan,The Theory of Elasticity, Science Publishing House, 207, (1956). (in Chinese)
Xu Chi-run,The Theory of Elasticity, People's Educational Publishing House, 92–93, (1960), (in Chinese)
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Communicated by Chien Wei-zang.
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Ja-shen, F. The exact solutions of von mises yielding criterion for ideally plastic body under uniform pressure in case of plane strain. Appl Math Mech 3, 573–579 (1982). https://doi.org/10.1007/BF01908232
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DOI: https://doi.org/10.1007/BF01908232