Extended finite element method

The extended finite element method (XFEM), is a numerical technique based on the generalized finite element method (GFEM) and the partition of unity method (PUM). It extends the classical finite element method (FEM) approach by enriching the solution space for solutions to differential equations with discontinuous functions. History The extended finite element method (XFEM) was developed in 1999 by Ted Belytschko and collaborators, to help alleviate shortcomings of the finite element method and has been used to model the propagation of various discontinuities: strong (cracks) and weak (material interfaces). The idea behind XFEM is to retain most advantages of meshfree methods while alleviating their negative sides. Rationale The extended finite element method was developed to ease difficulties in solving problems with localized features that are not efficiently resolved by mesh refinement. One of the initial applications was the modelling of fractures in a

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Modelling reinforced concrete coupling beams designed for low-to-moderate seismic regions Author: Lisa

Lisa Imperatori

Reinforced concrete (RC) coupling beams are often used to transfer and resist the earthquake loads. Coupling beams can improve significantly the stiffness and the strength of the all lateral resistant structure. By performing inelastically they decrease the energy dissipation required by the walls piers granted a better seismic performance. Because of their importance, some experimental and modelling research has been conducted focusing on these important elements. While their behaviour is known to be different from that of conventional beams, in low-to–moderate seismic regions, such as Australia, coupling beams are often designed as an “ordinary beam” with standard longitudinal reinforcements and stirrups. This incorrect procedure may be potentially dangerous and lead to a premature and brittle failure in the event of an earthquake. A finite element modelling approach, which also considers the non-linear behaviour of the beam, is investigated, with the aim of obtaining a realistic and useful model for future research projects and new design procedures. This research presents the preliminary investigations for using finite element modelling to predict the response of coupling beams with ordinary detailing designed for low-to-moderate seismic regions. Some guidelines regarding the use and setting of different parameters of the model are given. A modelling for coupling beams designed for low-to-moderate seismic regions is proposed and compared with experimental model for validation.

2020

Modelling reinforced concrete coupling beams designed for low-to-moderate seismic regions

Lisa Imperatori

2020

Finite Element Approximation to Infinite Prandtl Number Boussinesq Equations with Temperature-Dependent Coefficients - Thermal Convection Problems in a Spherical Shell

2003

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