1,721,120 research outputs found
Preface
No full textA series of seminars organized by the Department of Mathematics of the University of Catania and by Consorzio Catania Ricerche in order to promote the interaction between the mathematical community of Catania\u27s University and some representatives of both academic and industrial computer scientists.Workshp "Artificial Intelligence" held in Catania on May 15-19, 1989.Edited by Angelo Marcello Anile and Alfredo Ferro
Mechanics of high-flexible beams under live loads
Full text linkIn this paper the mathematical formulation of the equilibrium problem of high-flexible beams in the framework of fully nonlinear structural mechanics is presented. The analysis is based on the recent model proposed by L. Lanzoni and A.M. Tarantino: The bending of beams in finite elasticity in J. Elasticity (2019) doi:10.1007/s10659-019-09746-8 2019. In this model the complete three-dimensional kinematics of the beam is taken into account, both deformations and displacements are considered large and a nonlinear constitutive law in assumed. After having illustrated and discussed the peculiar mechanical aspects of this special class of structures, the criteria and methods of analysis have been addressed. A classification of the structures based on the degree of kinematic constraints has been proposed, distinguishing between isogeometric and hypergeometric structures. External static loads dependent on deformation (live loads) are also considered. The governing equations are derived on the basis of a moment-curvature relationship obtained in L. Lanzoni and A.M. Tarantino: The bending of beams in finite elasticity in J. Elasticity (2019) doi:10.1007/s10659-019-09746-8 2019. The governing equations take the form of a highly nonlinear coupled system of equations in integral form, which is solved through an iterative numerical procedure. Finally, the proposed analysis is applied to some popular structural systems subjected to dead and live loads. The results are compared and discussed
Asymmetric equilibrium configurations of symmetrically loaded isotropic square membranes
No full textThe homogeneous deformations provided by the equilibrium problem of nonlinear isotropic hyperelastic symmetrically loaded membranes are analyzed. Besides the universal symmetric solutions, the problem considered, depending on the form of the stored energy function, may admit asymmetric solutions. For general incompressible materials, the mathematical conditions governing the global development of these asymmetric solutions are investigated. Explicit expressions for evaluating critical loads and bifurcation points are derived. Results and basic relations obtained for general isotropic materials are then specialized for a Valanis-Landel and an Ogden material. For this last case, which is frequently used to model rubberlike materials, a broad numerical analysis was performed. The more qualitatively interesting branches of asymmetric equilibria are shown and the influence of the material parameters is discussed. Finally, using the energy criterion a number of considerations are made on stability
Crack propagation in finite elastodynamics
No full textWithin the framework of finite elastodynamics, a crack propagation analysis, for sheets of compressible hyperelastic material, is formulated. By exploiting a dynamic generalization of the Stephenson's result, general far-field loading conditions are considered. Through an asymptotic singular analysis, the motion and the stress fields around a dynamically moving crack tip are then computed. Emphasis is placed on the order of singularity in the asymptotic Piola-Kirchhoff and Cauchy stresses, on the determination of crack profile and of the vector energy flux at the moving crack tip. Moreover, the most important differences with respect to the classical predictions of linear elastodynamic theory are evidenced
Asymmetric equilibrium configurations of hyperelastic cylindrical bodies under symmetric dead loads
No full textThe nonlinear equilibrium problem of cylindrical hyperelastic solids is investigate
Introduzione alla meccanica delle strutture
No full textTesto introduttivo alla meccanica dei solidi e delle strutture
Scienza delle Costruzioni, introduzione alla teoria dell’elasticità
No full textIl testo contiene l'analisi della deformazione, della tensione, i lavori virtuali, i legami costitutivi, i principi variazionali e il problema dell'equilibrio di solidi a comportamento elastico non lineare e linearizzato
Prevention of stress relaxation in viscoelastic structures
No full textA new problem is presented in the viscoelastic theory. Structures where the stress relaxation is contrained are studied
Applicazioni di teoria della frattura alla propagazione delle onde sismiche
No full textMediante la teoria della meccanica della frattura si studia la propagazione del moto ondoso prodotto da un sisma
Structural system changes by means of forcedly applied restraints
No full textStructural system changes by means of delajed restraints applied forcedly are studied
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