Search results for "Complementary form"
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Los beneficios del mar: negocios e inversiones económicas de la oficialidad naval en el siglo XVIII
2019
Throughout the eighteenth century, the Spanish navy was extensively reformed and enhanced as a consequence of the new model of Monarchy that the Bourbons introduced. Among the measures adopted, it is remarkable the erection of the naval officers corps according to the needs and obligations that maritime war had in this century. This group becomes the paradigm of the new professionalization and new training approach, and its members had great relevance due to its great mobility around the empire and the power of the naval institution. This means that a part of the naval officers were placed in privileged positions and at the intersection of diverse political, social and economic networks. Th…
Hybrid equilibrium element with high-order stress fields for accurate elastic dynamic analysis
2021
In the present article the two-dimensional hybrid equilibrium element formulation is initially developed, with quadratic, cubic, and quartic stress fields, for static analysis of compressible and quasi-incompressible elastic solids in the variational framework of the minimum complementary energy principle. Thereafter, the high-order hybrid equilibrium formulation is developed for dynamic analysis of elastic solids in the variational framework of the Toupin principle, which is the complementary form of the Hamilton principle. The Newmark time integration scheme is introduced for discretization of the stress fields in the time domain and dynamic analysis of both the compressible solid and qua…