Large deflection distributed plasticity analysis of 3D steel frameworks

Automatic limit and shakedown analysis of 3-D steel frames

“…This yield surface is already used in several references [14][15][16] that we consult to compare with our results. In the direct analysis by LP, the plastic strength of cross sections using in the AISC [17] is installed in the CEPAO, with the value of a 1 , ... , a 6 and a: in the Eqs.…”

An overview of the plastic-hinge analysis of 3D steel frames

“…It can be found in the literature some other ways to take into account the plasticity along the member, for example: in Izzuddin [37] an adaptive mesh is used, allowing to detect whether plastic hinges occur along the member length; or in Chiorean [11] the Ramberg-Osgood force-strain relationship was adopted to model the gradual yielding of cross sections; in Liu [54] an element including a plastic hinge was built up, allowing the occurrence of plastic hinge within the element length at an arbitrary location.…”

“…Orbison's yield surface is very suitable to the elastic-plastic analysis by step-by-step method for 3-D steel frames, it has been widely applied (see Orbison [67], Liew [51,52], Kim [42][43][44][45], Chiorean [11], among others). On the other hand, the polyhedrons [e.g.…”

“…These two 3-D steel frames have been used as benchmarks in the literature concerning the advanced nonlinear analysis of steel frames (e.g. Orbison [67], Liew [51,52], Kim [46], Chiorean [11] and Cuong [16]). The frames were also analyzed by CEPAO and the results were validated by previous works Hoang [29,31].…”

“…To accord with the compatibility condition [Eq. (11)], the physical equation would be written as the relation between the element forces and the total deformations. Using Eqs.…”