Accurate Numerical Solutions for Elastic-Plastic Models

JAC3D -- A three-dimensional finite element computer program for the nonlinear quasi-static response of solids with the conjugate gradient method; Yucca Mountain Site Characterization Project

“…['_)ilowi,l_ is a s_=l_,uary of tl_,' _;,_ww,_ing_'<ll=at, io_s fin"t,l_,'_'_l_ll_i_e(!l,l_,'_l',_,': .47 shows that the final stress is cal(ullated by retllrzliug t, lle elastic trial stress radially to the yield sllrface at the ell(l of the tiule step (heIlt:e tile flame R.adial l{.eturn Met,hod). Estimates of the accura(:y of this method aud other methods for similarly integratiug the rate equations are _tvailal)le ill Kri(:g an(l l(rieg [28] a))d Schreyer, et al [29]. Note that th(: radial return (:orrection ((,he last t(:r)n in Equation 5.47) is I)urely deviatoric.…”

JAC2D: A two-dimensional finite element computer program for the nonlinear quasi-static response of solids with the conjugate gradient method; Yucca Mountain Site Characterization Project

“…Estimates of the accuracy of this method and other methods for similarly integrating the rate equations are available in Krieg and Krieg [28] and Schreyer et al [29]. The radial return correction (the last term in Equation 5.47) is purely deviatoric.…”

Computer Analysis of Skeletal Structures

“…Step f) For the remaining portion of the stress,R{*e}, the modificat ion corresponds to bringing point A in Other procedures to reduce the stress are also available [28,30,31] _ r Now, calculate ^ and this will be the new yield stress.…”