Аннотация:Ideal flows are solenoidal smooth plastic flows in which an eigenvector field associated everywhere with the greatest principal strain rate and stress is fixed in the material. The technological value of the ideal flow theory comes from its potential to provide rapid preliminary designs of deformation processes. The available theory of ideal flows is restricted to the rigid perfectly plastic Tresca solid (i.e. the constitutive equations of this solid are the Tresca yield criterion and its associated flow rule). The objective of the present work is to demonstrate the existence of steady planar ideal flows for the double slip and rotation model of pressure-dependent plasticity. This model is known to be applicable to several different types of material, for example soils and granular materials.
