20.500.12556/RUL-32127 A kinematically exact finite element formulation of planar elastic - plastic frames A finite element formulation of finite deformation static analysis of plane elastic-plastic frames subjected to static loads is presented, in which the only function to be interpolated is the rotation of the centroid axis of the beam. One of the advantages of such a formulation is that the problem of the field-consistency does not arise. Exact non-linear kinematic relationships of the finite-strain beam theory are used, which assume the Bernoulli hypothesis of plane cross-sections. Finite displacements and rotations as well as finite extensional and bending strains are accounted for. The effects of shear strains and non-conservative loads are at present neglected, yet they can simply be incorporated in the formulation. Because the potential energy of internal forces does not exist with elastic-plastic material, the principle of virtual work is introduced as the basis of the finite element formulation. A generalized principle of virtual work is proposed in which the displacements, rotation, extensional and bending strains, and the Lagrangian multipliers are independent variables. By exploiting the special structure of the equations of the problem, the displacements, the strains and the multipliers are eliminated from the generalized principle of virtual work. A novel principle is obtained in which the rotation becomes the only function to be approximated in its finite element implementation. It is shown that (N-1)-point numerical integration must be employed in conjunction with N-node interpolation polynomials for the rotation, and the Lobatto rule is recommended. Regarding the integration over the cross-section, it is demonstrated by numerical examples that, due to discontinuous integrands, no integration order defined as `computationally efficient yet accurate enough' could be suggested. The theoretical findings and a nice performance of the derived finite elements are illustrated by numerical examples. plane frame exact kinematics plasticity generalized principle of virtual work finite elements ravninski okvir točna kinematika posplošeni princip virtualnega dela plastičnost končni elementi true false false Elsevier Angleški jezik Angleški jezik Neznano 2015-07-10 10:12:13 2015-07-10 10:12:13 2022-11-21 15:21:05 0000-00-00 00:00:00 1997 0 0 Str. 125-151 no. 1/2 Vol. 144 1997 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.61/.64:531.1:539.374 0045-7825 10.1016/S0045-7825(96)01172-3 163169 6695685 CMAME_1997_.pdf CMAME_1997_.pdf 1 842E8AD3A644E9FF695DBE9823D59340 d2f07f679f5ab995106c021f3f7e385ccb3af651ce2f098a3e67ff48d12ab9bc 101ea50e-a1ae-11eb-a523-00155dcfd717 20.500.12556/rul/f79e92be-d784-443a-951d-5f44d61009db https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=85637 Fakulteta za gradbeništvo in geodezijo 0 0 0