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I. Failla, N. Impollonia, G. Ricciardi, "A Local/Nonlocal Elasticity Model for the Euler-Bernoulli Beam", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 209, 2015. doi:10.4203/ccp.108.209

Keywords: local-nonlocal elasticity, attenuation function, integral local-nonlocal elasticity, gradient local-nonlocal elasticity, Euler-Bernoulli beam, local-nonlocal finite element method, variational formulation.

Summary

In this paper a local/nonlocal elasticity model is presented for the statics of the Euler-Bernoulli beam. An integral form of the local/nonlocal elastic constitutive equations for axial deformation and bending are considered with a particular choice of the attenuation function. Equivalent differential forms are proposed, if suitable non standard boundary conditions are considered. New differential equations for axial and transversal displacements for the local/nonlocal elastic Euler-Bernoulli beam are determined, whose order is greater than that of the local case. By imposing the standard and the non standard boundary conditions in terms of new mechanical quantities, it is possible to obtain closed form solutions. Variational formulations enable numerical solutions using the finite element method.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 108 PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping Paper 209 A Local/Nonlocal Elasticity Model for the Euler-Bernoulli Beam I. Failla¹, N. Impollonia² and G. Ricciardi¹ ¹DICIEAMA, University of Messina, Italy ²DICAR, University of Catania, Siracusa, Italy doi:10.4203/ccp.108.209 purchase the full-text of this paper Full Bibliographic Reference for this paper I. Failla, N. Impollonia, G. Ricciardi, "A Local/Nonlocal Elasticity Model for the Euler-Bernoulli Beam", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 209, 2015. doi:10.4203/ccp.108.209 Keywords: local-nonlocal elasticity, attenuation function, integral local-nonlocal elasticity, gradient local-nonlocal elasticity, Euler-Bernoulli beam, local-nonlocal finite element method, variational formulation. Summary In this paper a local/nonlocal elasticity model is presented for the statics of the Euler-Bernoulli beam. An integral form of the local/nonlocal elastic constitutive equations for axial deformation and bending are considered with a particular choice of the attenuation function. Equivalent differential forms are proposed, if suitable non standard boundary conditions are considered. New differential equations for axial and transversal displacements for the local/nonlocal elastic Euler-Bernoulli beam are determined, whose order is greater than that of the local case. By imposing the standard and the non standard boundary conditions in terms of new mechanical quantities, it is possible to obtain closed form solutions. Variational formulations enable numerical solutions using the finite element method. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £75 +P&P)
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