Introduction to plasticity

THE greater part of this I~ok, the lirst six thapters, is ~ncr~~cl wit11 the c~lrmentary one dimensional theory of brnding of bc:uns. The cak~ulation of fully plastic pure bending moments, CW~~:~~W loads for beams under different types of loading, relations betwren bending moment and curvaturc~ for various hardening laws, bending under axial loadin,,w G ~ntl the calculation of beam deftections. are discussed in great detail for different sections with many formidable tables of c*ollr~ctctlforrnrllac. Very few experimental data are presented in support of this theory. llrief mention is madr of tlLc plastic limit design of elementary structures. but no attempt is made to apply much of the beam theory to this problem, nor are the limitations of the sirnl~lc methods of plastic design discussthtf. A serious basir error is made on page :I whrrc the syml~l 0 is drfincd 3s ~oritintll sbss, thnugll it is used throughout the book to denote trtcr*stress. and thr tlistinc4ilrn lretwccn the twt) quantities is nowherr ntsde clear. The above topics are far too resbricted to serve as au iI~tr~(i~i~tioI~to nrost of the basic ideas of @astirity theory but the remaining three chapters of the book make little atn?nds for this, Here, a short account of general theory (15 pagm) is followed by :I more or less partial account of such topics as thirak spherical shells under internai pressure. t,orsion, wire drawing. and ptanc~ plastic strain. Referenc*cs to the literature arc’ inadequate, and the arcounts Riven are inferior to those in existing books :rt~rlpapers, cspec~ially where t,hr standard methods of trcatnlcnt are not adopted. For example, the simple geomrtriral, stress, and velocity, prfq)erties of slipline fields in plane plsstic strain, and a clear idea of the method of upprr and lower hounds, arca quite lost in the tortuous micthematics of pp. 133-l(i7. .%I. hrrc and in other parts of the 1~1k no attempt is made to relate the theory to practice SCIthat the rcatl~ can gauge h+nv closely it corresponds to physic4 reality. how far it can be relied ~&IIin praeticc, and in what rtqccats it i\ likely, or has been definitely shown, to hr a ponr approximation for a real mt*t:ll. The \vir
152