Abstract
On the basis of recent articles byD. C. Drucker, W. Prager, R. T. Shield andH. Ziegler, the author establishes general relations for the state of plane flow in an idealized soil. A simple geometric interpretation of the relation between the stresses and the strain rates is given. The condition that the dissipation rate associated with an admissible state of motion cannot be negative is transformed into a new criterion, which in many cases facilitates the decision as to whether a state of motion is compatible with a prescribed state of stress or not. As an example, a study is made of the plastic state of an inclined plane layer. Particular emphasis is paid to a comparison of layers of equal inclination but of different cohesion and internal friction. Layers of variable density are also considered.
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