Theory of Metal Forming Plasticity, 2004
Classical and Advanced Topics

The intention of this book is to reveal and discuss some aspects of the metal fo- ing plasticity theory. The modern theory describes deformation of metallic bodies in cold and hot regimes under combined thermal and mechanical loadings. Th- mal and deformation fields appear in metal forming in various forms. A thermal field influences the material properties, modifies the extent of plastic zones, etc. and the deformation of metallic body induces changes in temperature distribution. The thermal effects in metal forming plasticity can be studied at two levels, - pending on whether uncoupled or coupled theories of thermo-plastic response have to be applied. A majority of metal forming processes can be satisfactorily studied within an uncoupled theory. In such an approach the temperature enters the stress-strain relation through the material constants and through the thermal dilatation. The description of thermo-plastic deformation in metal forming is c- ried out on the ground of thermodynamics.

I Deformation of Metallic Body.- 1 Description of Deformation.- 2 Stress Tensor.- 3 Components of Stress and Strain Tensors.- II Metal Forming Thermodynamics.- 4 Thermodynamical Considerations.- 5 Temperature Field in Material.- III Plasticity.- 6 Plastic Behaviour of Material.- IV Powder Forming Plasticity.- 7 Description of Powder Material.- 8 State Equations.- V Viscoplasticity.- 9 Viscoplastic Behaviour.- VI Discontinuous Fields.- 10 Surfaces of Discontinuity.- VII Numerical Solution Methods.- 11 Numerical Solutions.- 12 Numerical Models of Plasticity.- VIII Sensitivity in Metal Forming Plasticity.- 13 Sensitivity.- IX Stochastic Metal Forming Process.- 14 Stochastic Viscoplasticity.- X Contact and Friction.- 15 Contact and Friction.- XI Simplified Equations.- 16 Simplified Equations of Metal Forming.- References and Further Reading.