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Analytic solution for two dimensional beam problems: Pure displacement boundary conditions
Baier-Saip, Jürgen; Baier, Pablo A.; de Faria, A. R.; Baier, H. (2024)The present manuscript delineates the derivation of strong solutions for the linear elasticity problem in a two dimensional rectangular beam. The materials under consideration can exhibit either isotropic or orthotropic ...
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Higher-order approximation to the guidewire model used in simulators of cardiac catheterization and multiple segment relaxations
Baier-Saip, Jürgen; Baier, Pablo A.; Oliveira, Jauvane C.; Baier, H. (2018)Cardiac catheterism is important because it offers many advantages in comparison to open surgery, for example, fewer injuries, lower risk of infections, and shorter recovery times. Simulators play a fundamental role in ...
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Layerwise theories for composite beams with continuous and discontinuous stresses
Baier-Saip, Jürgen; Baier, Pablo A.; de Faria, A. R.; Baier, H. (2023)Due to the unique characteristics of composite materials, the study of composite beams is far more complex than the study of homogeneous beams. The finite element method has proven to be a powerful approach to analyze ...
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Linear spring stiffnesses for two-dimensional finite element modeling of arteries
Baier-Saip, Jürgen; Baier, Pablo A.; Oliveira, Jauvane C.; Baier, H. (2018)The physical properties of arteries are important in the research of the circulatory system dynamics. Moreover, in order to build Virtual Reality Simulators, it is crucial to have a tissue model able to respond in real ...
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Shear locking in one-dimensional finite element methods
Baier-Saip, Jürgen; Baier, Pablo A.; de Faria, A. R.; Oliveira, Jauvane C.; Baier, H. (2020)The accuracy of the results obtained with Finite Element Methods depends on the basis functions employed to approximate the displacement fields. If the beam is very thin, there can be shear locking and the numerical ...