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2 2010

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New 2D Geometric Nonlinear Beam Finite Element with Constant Stiffness

Ďuriš R.

Machine Dynamics Research

2010

Vol. 34, No. 3

69-80

Contribution presents new beam FE with constant stiffness and symmetric cross-sectional area intended for the solution of geometrically nonlinear problems with large displacements and small strains. The new two-node Euler-Bernoulli 2D beam finite element is based on nonincremental nonlinear Lagrangian formulation of nonlinear FEM equations. Hermitean shape functions have been used to derive the element stiffness matrices, containing nonlinear terms due to local nodal displacement/rotation and higher order area moment of inertia. Stretching and angular displacement of connecting line of element nodes was implemented to obtain stiffness matrices invariant to the rigid body motion. Numerical example is presented in order to verify the established relations. In the example, elastic material responses were considered. The accuracy and efficiency of the newly developed finite beam element were compared and discussed applying the results obtained by the solution of identical problems using ANSYS. The new FE fulfils all the basic equations of the beam in both the local and global sense. The positive experience with the new nonlinear bar element has been confirmed also by solution of geometrically nonlinear problems involving the newly developed beam FE.

Stress-strain analysis of the femoral component of ZIREMA total hip endoprosthesis

Žitňanský M., Rehák L'., Naď M., Ďuriš R.

Journal of Achievements in Materials and Manufacturing Engineering

2010

Vol. 43, nr 1

379--384

Purpose: The results of the research project, which relates to the original design for total hip joint replacement, are presented in this paper. Solution of this project was recommended and supported by the Government Office of the Slovak Republic. Design/methodology/approach: Research methodology of total hip joint replacement has focused on a comprehensive analysis of this type of implants, which are implanted into patients around the world. Based on this knowledge and experiences of many years of leading Slovak orthopedists as well as experts in the field of material engineering such analysis was carried out in this study to and test a new type of femoral component. Findings: The result of the project was the design and implementation of original new type of hip replacement. Research limitations/implications: The new type of femoral component was experimentally tested in prestigious laboratories and is ready for clinical application in patients.Practical implications: After the completion the entire research and development it will be available for use in the SR situation. Originality/value: Product of research and development is an original Slovak cementless hip joint replacement coxal pull-up marked as ZIREMA.