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P. Foti, A. Fraddosio, S. Marzano, M.D. Piccioni, "Stability and Post-Bifurcation Behavior of a Mooney-Rivlin Elastic Body in Multiaxial Stress States", 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 205, 2015. doi:10.4203/ccp.108.205

Keywords: non-linear elasticity, incompressibility, dead loads, local stability, bifurcation, post-critical response.

Summary

In this paper the equilibrium homogeneous deformations of a Mooney-Rivlin parallelepiped subject to a distribution of dead-load surface tractions corresponding to an equibiaxial tensile stress state accompanied by an orthogonal uniaxial compression of the same amount is studied. It is shown that only two classes of homogeneous equilibrium solutions are possible and then the necessary and sufficient stability conditions for the equilibrium deformations by adopting the classical Hadamard criterion of infinitesimal stability are found. Finally, by analysing the mechanical response of the parallelepiped in a monotonic dead loading process, the actual occurrence of a bifurcation from a primary branch of locally stable deformations with two equal principal stretches to a secondary, post-critical branch of locally stable solutions having all different principal stretches are modelled.

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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 205 Stability and Post-Bifurcation Behavior of a Mooney-Rivlin Elastic Body in Multiaxial Stress States P. Foti, A. Fraddosio, S. Marzano and M.D. Piccioni Dipartimento di Scienze dell'Ingegneria Civile e dell'Architettura, Politecnico di Bari, Italy doi:10.4203/ccp.108.205 purchase the full-text of this paper Full Bibliographic Reference for this paper P. Foti, A. Fraddosio, S. Marzano, M.D. Piccioni, "Stability and Post-Bifurcation Behavior of a Mooney-Rivlin Elastic Body in Multiaxial Stress States", 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 205, 2015. doi:10.4203/ccp.108.205 Keywords: non-linear elasticity, incompressibility, dead loads, local stability, bifurcation, post-critical response. Summary In this paper the equilibrium homogeneous deformations of a Mooney-Rivlin parallelepiped subject to a distribution of dead-load surface tractions corresponding to an equibiaxial tensile stress state accompanied by an orthogonal uniaxial compression of the same amount is studied. It is shown that only two classes of homogeneous equilibrium solutions are possible and then the necessary and sufficient stability conditions for the equilibrium deformations by adopting the classical Hadamard criterion of infinitesimal stability are found. Finally, by analysing the mechanical response of the parallelepiped in a monotonic dead loading process, the actual occurrence of a bifurcation from a primary branch of locally stable deformations with two equal principal stretches to a secondary, post-critical branch of locally stable solutions having all different principal stretches are modelled. 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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