TY - BOOK ID - 5449228 TI - Plasticity : mathematical theory and numerical analysis AU - Han, Weimin AU - Reddy, B. Dayanand PY - 1999 SN - 9780387987040 0387987045 9780387226576 9786610145768 1280145765 0387226575 PB - New York : Springer, DB - UniCat KW - Plasticity. KW - Numerical analysis. KW - Plasticité KW - Analyse numérique KW - Plasticity KW - Numerical analysis KW - Engineering & Applied Sciences KW - Applied Mathematics KW - Engineering. KW - Mechanics. KW - Mechanics, Applied. KW - Theoretical and Applied Mechanics. KW - Mechanics, applied. KW - Applied mechanics KW - Engineering, Mechanical KW - Engineering mathematics KW - Classical mechanics KW - Newtonian mechanics KW - Physics KW - Dynamics KW - Quantum theory KW - Mathematical analysis KW - Cohesion KW - Deformations (Mechanics) KW - Elasticity KW - Plastics KW - Rheology UR - https://www.unicat.be/uniCat?func=search&query=sysid:5449228 AB - The theory of elastoplastic media is now a mature branch of solid and structural mechanics, having experienced significant development during the latter half of this century. This monograph focuses on theoretical aspects of the small-strain theory of hardening elastoplasticity. It is intended to provide a reasonably comprehensive and unified treatment of the mathematical theory and numerical analysis, exploiting in particular the great advantages to be gained by placing the theory in a convex analytic context. The book is divided into three parts. The first part provides a detailed introduction to plasticity, in which the mechanics of elastoplastic behavior is emphasized. The second part is taken up with mathematical analysis of the elastoplasticity problem. The third part is devoted to error analysis of various semi-discrete and fully discrete approximations for variational formulations of the elastoplasticity. The work is intended for a wide audience: this would include specialists in plasticity who wish to know more about the mathematical theory, as well as those with a background in the mathematical sciences who seek a self-contained account of the mechanics and mathematics of plasticity theory. ER -