A 3D mixed frame element with multi-axial couplingfor thin-walled structures with damage
Journal Title: Frattura ed Integrità Strutturale - Year 2014, Vol 8, Issue 29
Abstract
A 3D mixed beam finite element is presented, modeling the warping of the cross-sections as anindependent kinematic field. The beam formulation is derived on the basis of the Hu-Washizu variationalprinciple, expressed as function of four independent fields: the standard displacements, strains and stresses andthe additional warping displacement. This is interpolated along the beam axis and on the cross-section, byplacing on it a regular grid of interpolation points and adopting Lagrange polynomials. The warping degrees offreedom defined at the cross-section interpolation points are condensed, thus preserving the element matrix andvector sizes. A fiber discretization of the cross-sections is adopted. The constitutive relationship at the midpointof each fiber is based on an isotropic damage model for brittle-like materials, distinguishing between the damagevariables in tension and in compression to properly describe the unilateral effect. An efficient algorithm isformulated for the element state determination, based on a consistent linearization of the governing equations.A simple numerical application on a cantilever beam with torsion in the linear elastic range is presented and twotorsion tests on plain concrete beams are performed, by comparing the numerical results with the experimentaloutcomes.
Authors and Affiliations
D. Addessi, P. Di Re
Keywords
Related Articles
- EP ID EP162820
- DOI 10.3221/IGF-ESIS.29.16
- Views 83
- Downloads 0
Numerical study of the response of dynamic parameters to defects in composite structures
The purpose of this work is to study three different models of delamination in composite plate (the free mode model, the constrained model and the contact model) and applicability of this models to the vibrational...
Static and modal numerical analyses for the roof structure of a railway freight refrigerated car
Numerical analyses by finite element method and experimental tests are used to determine static and dynamic behaviour of railway vehicles. Experimental measurements are very time consuming and expensive, so they...
A three-parameter model for fatigue crack growth data analysis
A three-parameters model for the interpolation of fatigue crack propagation data is proposed. It has been validated by a Literature data set obtained by testing 180 M(T) specimens under three different loading leve...
Multiaxial fatigue strength of severely notched titanium grade 5 alloy
The multiaxial fatigue strength of severely notched titanium grade 5 alloy (Ti-6Al-4V) is investigated. Experimental tests under combined tension and torsion loading, both in-phase and out-of-phase, have been car...
Fatigue crack growth in additive manufactured products
Additive Manufacturing (AM) is a new innovative technique that allows the direct fabrication of complex, individual, delicate and high-strength products, based on their 3D data. Selective Laser Melting (SLM) ...