n [8] a model for the description of the dynamics of martensitic materials has been proposed. The model is specifically intended for materials whose free energy grows steeply away from the energy wells. Essentially, it is the multi-well analog of ordinary rigid body mechanics with three additional features: the stress is not treated as arbitrary (the average of its normal component on the interfaces enters the theory in a non trivial way), a certain component of the local balance of the linear momentum is used, and kinetic laws for interfacial motion are introduced based on ideas of Eshelby [6] and Abeyaratne and Knowles [1, 2]. In this contribution the model is specialized to a cantilever subject to harmonic end displacement and made of two different variants of martensite separated by a system of parallel interfaces. The equations governing the motion of the cantilever when the displacement at its free extremity is prescribed are obtained. This very preliminary study could serve as a basis for the design of a microdamper.
On the motion of a shape memory cantilever subject to harmonic end displacement and proposal for a microdamper
RIZZONI, Raffaella
2003
Abstract
n [8] a model for the description of the dynamics of martensitic materials has been proposed. The model is specifically intended for materials whose free energy grows steeply away from the energy wells. Essentially, it is the multi-well analog of ordinary rigid body mechanics with three additional features: the stress is not treated as arbitrary (the average of its normal component on the interfaces enters the theory in a non trivial way), a certain component of the local balance of the linear momentum is used, and kinetic laws for interfacial motion are introduced based on ideas of Eshelby [6] and Abeyaratne and Knowles [1, 2]. In this contribution the model is specialized to a cantilever subject to harmonic end displacement and made of two different variants of martensite separated by a system of parallel interfaces. The equations governing the motion of the cantilever when the displacement at its free extremity is prescribed are obtained. This very preliminary study could serve as a basis for the design of a microdamper.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
