Charilaos M. Lyritsakis's research while affiliated with Pennsylvania State University and other places

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Publications (2)

Geometrically exact hybrid beam element based on nonlinear programming
Article
  • Mar 2021
This work presents a hybrid shear‐flexible beam‐element, capable of capturing arbitrarily large inelastic displacements and rotations of planar frame structures with just one element per member. Following Reissner’s geometrically‐exact theory, the finite element problem is herein formulated within nonlinear programming principles, where the total p...
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Figure 1: Timoshenko compared to Bernoulli solutions for different...
Figure 2: Cantilever with point transverse load at its free end.
Figure 4: Cantilever with eccentric axial load at its free end.
Figure 5: Configurations at each step for examples 2, 3 and 4 (left to...
Cantilever with constant transverse load at free end.
Nonlinear programming approach to a shear-deformable hybrid beam element for large displacement analysis
Conference Paper
Full-text available
  • Jun 2019
In the present work, a hybrid beam element based on exact kinematics is developed, accounting for arbitrarily large displacements and rotations, as well as shear deformable cross sections. At selected quadrature points, fiber discretization of the cross sections facilitates efficient computation of the stress resultants for any uniaxial material la...
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Citations

... Similar to material inelasticity and degradation effects, geometric nonlinearity is also an important aspect of nonlinear structural analysis, which has been long investigated by many researchers and mostly described by total or updated Lagrangian formulations, often employing corotational schemes (e.g., Crisfield 1991;Neuenhofer and Filippou 1998;Felippa and Haugen 2005;Bathe 2006;Belytschko et al. 2013). Geometric nonlinearities in beam elements can also be incorporated by considering geometrically exact kinematics, as described in the seminal work of Reissner (1972Reissner ( , 1973 and further adopted/modified for finite-element formulations by Simo (1985), Cardona and Geradin (1988), Sivaselvan and Reinhorn (2002), Romero (2008), Andriotis et al. (2018), and Lyritsakis et al. (2021), among others. Some works considering the combined effects of geometric nonlinearities and damage include those of Bratina et al. (2004), Valipour and Foster (2010), and Salehi and Sideris (2018). ...
Reference: State-Space Formulation for Structural Analysis with Coupled Degradation-Plasticity and Geometric Nonlinearity
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