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Basic Premises for Analysis
Fundamentals of Planestrain Theory with Special Reference to Slipline Techniques
Basic equations for planestrain problems
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aluminium angle assumed assumption axi-symmetric extrusion axi-symmetric problems axis bottom boundary conditions calculated cavity compression container wall Coulomb friction curves dead metal deformation zone deforming region effect equation experimental extruded material extrusion and piercing field and hodograph field of Fig forward extrusion friction coefficient geometry given holes Johnson Kudo lead billet least upper bound maximum mean yield stress measured meridian plane obtained one-way extrusion opposed extrusion opposed extrusion-piercing orifice piercing pressure piercing process plane-strain extrusion plastic Plasticine post-steady extrusion ram pressure reduction in area relation rigid triangle fields rough container rough ram shear stress shown in Fig side extrusion single-hole symmetric slip-line field slip-line solution slug thickness smooth container speed square steady extrusion strain-rate stress distribution stress-strain curve surface symmetric extrusion tainer technique temperature rise tensile stresses Thomsen tion tool tricity unsymmetric upper bound velocity discontinuity velocity field wedge-shaped work-hardening materials yield criterion