present paper describes the mathematical tools detect- ing the onset of discontinuous bifurcation and addresses bifurcation analysis of elasto-plastic solids. Under the assumption of c0-continuity of velocities (displacements)' constitutive OVTYl"'O•:'.'- sions are developed which relate the stress rate to the…
present paper describes the mathematical tools detect- ing the onset of discontinuous bifurcation and addresses bifurcation analysis of elasto-plastic solids. Under the assumption of c0-continuity of velocities (displacements)' constitutive OVTYl"'O•:'.'- sions are developed which relate the stress rate to the strain both sides of a spatial discontinuity which exhibits jumps formations. Introducing the non-associated elasto-plastic .............. L.L.L"'-'"Fo. model of Drucker-Prager type, numerical calculations are "' ... '°'ci"" ..... -r for the elastic/plastic bifurcation.