1,721,091 research outputs found

    Tools for the numerical solution of inverse problems in structural mechanics: review and research perspectives

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    In this work, the author gives a review of the state of the art on the computational strategies developed for the analysis of inverse problems. Starting from the definition of the inverse problem, and focusing the intrinsic difficulties in their solution, various computational tools developed for their solution are presented and discussed. This allows an aware choice of the most effective strategies with respect to the problem to be dealt with. Successively, some selected inverse problems are briefly sketched and their numerical solution is thoroughly discussed. This allows to enlighten the main problems to overcome and the attainable accuracy. Finally, new and challenging inverse problems are addressed, discussing thoroughly some current and classical results, in order to outline future perspectives

    In-plane shear loading of granular membranes modeled as a Lagrangian assembly of rotating elastic particles

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    A micro-mechanical model devoted to study large deformations of cohesive granular media subjected to quasi-static external actions is presented and discussed. The model, leaving out dynamical effects, is completely described by the definition of the strain energy of the interaction between two nearby grains. The solution of the nonlinear equilibrium system of equations is searched in the framework of a stepwise analysis which uses Newton's iterative strategy as the predictor and Rik's arc-length idea as the corrector. Selected numerical simulation results are discussed to highlight the main peculiarities of the model and the analysis strategy of the obtained results. The discussions suggest the necessary next steps for tackling more complex problems such as those which consider the failure of grain interactions

    Identification of Axial Forces on Statically Indeterminate Pin-Jjointed Ttrusses by a Nondestructive Mechanical Test

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    This work concerns the stress-state identification, produced by loads or dislocations, of statically indeterminate structures. In particular, this paper deals with the case of pin-jointed trusses, since they are a combination of simplicity of the structural model with very interesting technical applications. We present an approach that follows the main guidelines of the flexibility method to relate an additional load and the consequent nodal displacements. When a sufficient number of nodal displacements are measured, they produce a system of equations that when solved furnishes a complete reconstruction of the stress-state to identify. In order to highlight the potentialities and the limits of the proposed approach and also to delineate its main characteristics, some simple tests are discussed and analyzed
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