Plastic Analysis and Design. Vol. 1, Beams and Frames

Abstract

rather t.han the general elise, so that. ill the chapter on inst.ability of two-phase fl ow 1i0 reference is made, for example, to the (a ward-winning) 1963 paper of Ost.mch and Koestel.For a long t.ime it has been 11 fact that our unders(.a nding of the physics involved in vapor formation a nd tra nsport is insufficien t even \.0 p el'mit satisfactory determination of empirical relation-~hips ba.•ed, say, on dim ensional analysis. The recent advances in the cloud physics of bubbles in boi ling have not been suf"ficient to cha nge t.his fact. lH ean\\'hile, advances in technologicnl re-({llirements (the cooling of nuclea.r reactors and l'Ocket motors ) have inc;reased t.hc need fur careful review and further investigation. This book should be vcry u~eful to designers a nd to investigators who w:Jnt a compact. survey of t.he subjeet a nd an extensive inll'OdllCl ion to i t~ lit enltlll'e. ElasticityStability and Oscillations of Ela stic Systems. By Y. l'nnoyko a nd r. 1. Gu lx\I1oYi\. Translated by Ch a rles V. Larrick .

A direct complementarity approach for the elastoplastic analysis of plane stress and plane strain structures

“…The last example is that of a simple two‐span beam subjected to repeated cyclic load applications. Instead of the traditional textbook line model with plastic hinges (e.g., ), we represented the structure as a 2D model with plane stress mixed elements satisfying a von Mises material.…”

“…The final example demonstrates the capability of our proposed direct complementarity scheme to cater for nonmonotonic load histories that can lead to substantial changes in stress directions. A classical text book example of a two‐span beam (Figure (a)) under repeated cyclic loads (see, e.g., ) was considered for this purpose. However, instead of the traditional line element with lumped plasticity (hinges), we modeled the beam as a 2D structure with plane stress mixed elements, obeying the von Mises perfectly plastic condition.…”

Lower bound limit analysis through discontinuous finite elements and semi-analytical procedures

“…The application of limit analysis and plasticity to structural safety concerns a wide range of engineering fields. Starting from the pioneer works of Prager, Drucker, and Greenberg's [1,2] and Massonnet and Save [3,4] that address the plastic response of structures introducing the collapse calculation for one-dimensional beams assembly as the main topic the matter has been formalized in the mathematical treatise of Hill [5], a two-fold approach is the way the limit analysis has been applied. The first, the kinematic method, consists of finding the collapse load as the load infimum among that in equilibrium with the stress linked to a compatible collapse mechanism.…”