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    Influence of the Compaction Pressure and Sintering Temperature on the Mechanical Properties of Porous Titanium for Biomedical Applications

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    In the present work, the use of porous titanium is proposed as a solution to the difference in stiffness between the implant and bone tissue, avoiding the bone resorption. Conventional powder metallurgical technique is an industrially established route for fabrication of this type of material. The results are discussed in terms of the influence of compaction pressure and sintering temperature on the porosity (volumetric fraction, size, and morphology) and the quality of the sintering necks. A very good agreement between the predicted values obtained using a simple 2D finite element model, the experimental uniaxial compression behavior, and the analytical model proposed by Nielsen, has been found for both the Young’s modulus and the yield strength. The porous samples obtained by the loose sintering technique and using temperatures between 1000 °C −1100 °C (about 40% of total porosity) are recommended for achieving a suitable biomechanical behavior for cortical bone partial replacement.Ministry of Economy and Competitiveness of the State General Administration of Spain grant MAT2015-71284-

    Quadratic Maps in Two Variables on Arbitrary Fields

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    Let F\mathbb{F} be a field of characteristic different from 22 and 33, and let VV be a vector space of dimension 22 over F\mathbb{F}. The generic classification of homogeneous quadratic maps f ⁣:V→Vf\colon V\to V under the action of the linear group of VV, is given and efficient computational criteria to recognize equivalence are provided.Comment: 12 pages, no figure
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