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Modelling 3D metal cutting problems with the particle finite element method
(Springer Verlag, 2020-01-01)
This work presents the development of the Particle Finite Element Method (PFEM) for the modelling of 3D solid mechanics problems under cutting conditions. The study and analysis of numerical models reproducing the cut of ...
Error estimation and h-adaptive refinement in the analysis of natural frequencies
(ELSEVIER SCIENCE BV, 2001-12-01)
This paper deals with the estimation of the discretization error and the definition of an optimum h-adaptive process in the finite element analysis of natural frequencies and modes. Consistent and lumped mass matrices are ...
Quaternion and octonion-based finite element analysis methods for computing multiple first order derivatives
(Elsevier Inc.Universidad EAFIT. Departamento de Ingeniería Mecánica, 2019-11-15)
The complex Taylor series expansion method for computing accurate first order derivatives is extended in this work to quaternion, octonion and any order Cayley-Dickson algebra. The advantage of this new approach is that ...
Creation of a three-dimensional model of the mandible and the TMJ in vivo by means of the finite element method.
(Quintessenz Verlags GmbH, 2002-04-01)
The aim of this study was to develop a three-dimensional finite element model of the mandible, including its TMJ. The model consisted of 7942 nodes and 41,010 elements, which were obtained from a convergence test, done ...
The particle finite element method for transient granular material flow: modelling and validation
(Springer International Publishing AG, 2021-01-01)
The prediction of transient granular material flow is of fundamental industrial importance. The potential of using numerical methods in system design for increasing the operating efficiency of industrial processes involving ...
Sensitivity analysis for radiofrequency induced thermal therapies using the complex finite element method
(ELSEVIER SCIENCE BVUniversidad EAFIT. Departamento de Ingeniería Mecánica, 2017-11-01)
In radiofrequency induced thermal procedures for cancer treatment, the temperature of the cancerous tissue is raised over therapeutic values while maintaining the temperature of the surrounding tissue at normal levels. In ...
A stiffness derivative local hypercomplex-variable finite element method for computing the energy release rate
(Elsevier BVUniversidad EAFIT. Departamento de Ingeniería Mecánica, 2019-01-01)
A “local” hypercomplex-variable finite element method, L-ZFEM, is proposed for the computation of the energy release rate (ERR) using the stiffness derivative equation. This approach is analogous to the stiffness derivative ...
Evaluation of the Spectral Finite Element Method with the Theory of Phononic Crystals
(World Scientific Publishing Co. Pte LtdUniversidad EAFIT. Departamento de Ingeniería Mecánica, 2015-06-01)
We evaluated the performance of the classical and spectral finite element method in the simulation of elastodynamic problems. We used as a quality measure their ability to capture the actual dispersive behavior of the ...
Design and construction of a transducer for bite force registration.
(ELSEVIER SCI LTD, 2009-05-29)
This study describes the development of a system for quantification of human biting forces by (1) determining the mechanical properties of an epoxy resin reinforced with carbon fiber, (2) establishing the transducer's ...
Evaluation of the structural behavior of three and four implant-supported fixed prosthetic restorations by finite element analysis.
(ELSEVIER IRELAND LTD, 2012-04-01)
PURPOSE: There is much controversy about the minimum number of implants and maximum cantilever length in mandible prosthetic restoration. Finite elements analysis of three and four implant-supported prostheses was performed ...