TY - EJOU
AU - Kampitsis, A.E.
AU - Sapountzakis, E.J.
TI - Geometrically Nonlinear Inelastic Analysis of Timoshenko Beams on Inelastic Foundation
T2 - Computer Modeling in Engineering \& Sciences
PY - 2014
VL - 103
IS - 6
SN - 1526-1506
AB - In this paper a Boundary Element Method (BEM) is developed for the geometrically nonlinear inelastic analysis of Timoshenko beams of arbitrary doubly symmetric simply or multiply connected constant cross-section, resting on inelastic tensionless Winkler foundation. The beam is subjected to the combined action of arbitrarily distributed or concentrated transverse loading and bending moments in both directions as well as to axial loading, while its edges are subjected to the most general boundary conditions. To account for shear deformations, the concept of shear deformation coefficients is used. A displacement based formulation is developed and inelastic redistribution is modeled through a distributed plasticity (fiber) approach exploiting three-dimensional material constitutive laws and numerical integration over the cross-sections. An incrementalâ€“iterative solution strategy along with an efficient iterative process are employed, while the arising boundary value problem is solved employing the boundary element method. Numerical examples are worked out confirming the accuracy and the computational efficiency of the proposed beam formulation, as well as the significant influence of the geometrical nonlinearity and the shear deformation effect in the response of a beam-foundation system.
KW - geometrical nonlinearity
KW - distributed plasticity
KW - von Mises plasticity
KW - fiber model
KW - beamâ€“foundation systems
KW - Timoshenko beam
KW - boundary element method
DO - 10.3970/cmes.2014.103.367