In this work we study the stable multiphase deformations of an incompressible, isotropic elastic body held in equilibrium by a homogeneous distribution of tractions on the boundary corresponding to an axisymmetric Piola stress tensor. By considering a special non-convex form of the strain energy function, we show that there exists a critical value of the load which allows the emergence of multiphase solutions. Finally, by means of a numerical example, we model the behaviour of the body in a quasi-static loading process.
Discontinuity surfaces for a class of isotropic elastic materials / De Tommasi, Domenico; Foti, Pilade; Marzano, Salvatore (SERIES ON ADVANCES IN MATHEMATICS FOR APPLIED SCIENCES). - In: Applied and industrial mathematics in Italy. Volume 1 / [a cura di] Mario Primicerio; Renato Spigler; Vanda Valente. - STAMPA. - Singapore : Word Scientific, 2005. - ISBN 981-256-368-7. - pp. 294-304 [10.1142/9789812701817_0027]
Discontinuity surfaces for a class of isotropic elastic materials
De Tommasi, Domenico;Foti, Pilade;Marzano, Salvatore
2005-01-01
Abstract
In this work we study the stable multiphase deformations of an incompressible, isotropic elastic body held in equilibrium by a homogeneous distribution of tractions on the boundary corresponding to an axisymmetric Piola stress tensor. By considering a special non-convex form of the strain energy function, we show that there exists a critical value of the load which allows the emergence of multiphase solutions. Finally, by means of a numerical example, we model the behaviour of the body in a quasi-static loading process.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
