TY - JOUR
N2 - The paper presents the author’s non-linear FEM solution of an initially stressless deformed flat frame element, in which the nodes are situated along the axis of the bar initially straight. It has been assumed that each node may sustain arbitrary displacements and rotation. The solution takes into account the effect of shear, the geometrical non-linearity with large displacements (Green-Lagrange’s strain tensor) and moderate rotations (i.e. such ones which allow a linear-elastic behaviour of the material) and alternative small rotations when the second Piola-Kirchhoff stress tensor is applied. This solution is based on [1], concerning beams without any initial bow imperfections. The convergence of the obtained results at different numbers of nodes and Gauss points in the element was tested basing on the example of circular arcs with a central angle of 120°÷180°. The analysis concerned elements with two, three, five, seven, nine and eleven nodes, for the same number of points of numerical integration and also with one more or less. Moreover, the effect of distributing the load on the convergence of the results was analyzed.
L1 - http://journals.pan.pl/Content/83891/mainfile.pdf
L2 - http://journals.pan.pl/Content/83891
PY - 2013
IS - No 3
EP - 400
KW - initially deformed fl at frame element
KW - geometrical non-linearity
KW - large displacements
KW - large and small rotations
A1 - Zamorowski, J.
PB - WARSAW UNIVERSITY OF TECHNOLOGY FACULTY OF CIVIL ENGINEERING and COMMITTEE FOR CIVIL ENGINEERING POLISH ACADEMY OF SCIENCES
T1 - An Initially Deformed Flat Frame Finite Element
DA - 30.09.2013
SP - 381
UR - http://journals.pan.pl/dlibra/publication/edition/83891
T2 - Archives of Civil Engineering
ER -