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Towards a Mathematical Model for Elastic Wave Propagation in Granular Materials

Engineering（科研） 2012年第12期4卷 972-979页

作者： leonardo trujillo Vanessa Torres Franklin Peniche leonardo Di G. Sigalotti Centro de Física Instituto Venezolano de Investigaciones Científicas (IVIC) Caracas Venezuela

A theoretical model for the propagation of acoustic waves in dry granular media is presented within the framework of the nonlinear granular elasticity. An essential ingredient is the dependence of the elastic moduli on compression. For the purpose of illustration, we analyze the case of a time-harmonic plane wave propagation under isotropic compression. We derive explicit relations for the wave speed dependence with the confining pressure. The present approach provides an accurate description of acoustic wave propagation in granular packings and represents a powerful tool to interpret the results of current experiments.

关键词： Granular Media Elastic Waves Nonlinear Elasticity Hydrostatic Compression Granular Elasticity

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Stochastic Computational Heuristic for the Fractional Biological Model Based on Leptospirosis

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Computers, Materials & Continua 2023年第2期74卷 3455-3470页

作者： Zulqurnain Sabir Sánchez-Chero Manuel Muhammad Asif Zahoor Raja Gilder-Cieza–Altamirano María-Verónica Seminario-Morales Fernández Vásquez JoséArquímedes Purihuamán leonardo Celso Nazario Thongchai Botmart Wajaree Weera Department of Mathematics and Statistics Hazara UniversityMansehraPakistan Universidad Nacional de Frontera SullanaPiuraPerú Future Technology Research Center National Yunlin University of Science and Technology123 University RoadSection 3Douliou64002YunlinTaiwan Universidad Nacional Autónoma de Chota CajamarcaPerú Universidad Cesar Vallejo TrujilloLa LibertadPerú Universidad Señor de Sipán ChiclayoPerú Department of Mathematics Faculty of ScienceKhon Kaen UniversityKhon Kaen40002Thailand

The purpose of these investigations is to find the numerical outcomes of the fractional kind of biological system based on Leptospirosis by exploiting the strength of artificial neural networks aided by scale conjugate gradient,called *** fractional derivatives have been applied to get more reliable performances of the *** mathematical form of the biological Leptospirosis system is divided into five categories,and the numerical performances of each model class will be provided by using the *** exactness of the ANNs-SCG is performed using the comparison of the reference and obtained *** reference solutions have been obtained by using theAdams numerical *** these investigations,the data selection is performed at 82%for training,while the statics for both testing and authentication is selected as 9%.The procedures based on the recurrence,mean square error,error histograms,regression,state transitions,and correlation will be accomplished to validate the fitness,accuracy,and reliability of the ANNs-SCG scheme.

关键词： Fractional leptospirosis biological model artificial neural networks scale conjugate gradient numerical performances

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