By W. B. Lee

Classical plasticity is a good tested area of mechanics and engineering, supplying the root for lots of engineering structural layout, production techniques and typical phenomena. New vital features are rising within the interdisciplinary procedure of micro-, meso- and macro-mechanics, and during research, experiments and computation.
The interplay of mechanics and fabrics scientists is introducing great alterations within the disciplines, in order that the potential of fabrics being processed at the microscale to accomplish the specified macroscopic homes is quickly approaching.
A entire review at the most recent advancements in either macroplasticity and microplasticity theories, their interactions and functions in quite a few engineering disciplines reminiscent of good mechanics, structural research and geo-mechanics, fabrics technological know-how and know-how, and steel forming and machining, is given during this quantity. Case reports written by means of foreign specialists specialise in points corresponding to the purposes of plasticity in interdisciplinary and non-conventional components. The one hundred fifty papers supply a present and worthy reference resource at the most modern advances for either learn employees and engineers within the a number of fields of plasticity.

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6. W. Dougill, On Stable Progressively Fracturing Solids, Zeitschriftfuer Angewandte Mathematik und Physik (ZAMP), Vol. 27, pp. 423-437 (1976). 7. P. Bazant and S. Kim, Plastic-Fracturing Theory for Concrete, J. Eng. Mech. , ASCE, Vol. 705, No. EM3, pp. 407-428 (1979). 8. J. F. Chen, Strain-Space Plasticity Formulation for Hardening-Softening Materials with Elasto-Plastic Coupling, Solids and Structures, Vol. 22, No. 8, pp. 935-950 34 (1986). 9. P. Bazant and T. S. , Elsevier, New York, pp.. 11-33 (1987).

Simulation results further confirm the design knowledge practiced in deriving an experts' sequence solution. • Metal flow observations for possible better solutions are identified. Step 3: Development of strategies for better solutions. • Selections of candidate solutions from among possible better solutions. • Detailed evaluation of candidate solutions by forward simulation, and backward tracing. • Suggestions for new and improved design. Step 4: Final design. • Use of forward simulation and the backward tracing procedure to the design suggested in Step 3 for the determination of final design.

A gen­ eral formulation of softening behavior by the plasticity theory combined with the fracturing (damage) theory is then discussed. Since the phenomenological models may not be adequate for describing the material behavior in the post-peak stress range, an extensive study of the relation­ ship between macrospace features and microscopic events has been made in recent years. This will be briefly oudined and some of the state-of-the-art models for strain-softening and strain localization will be reviewed.

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