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Composite beams with shape memory alloy fibres
Author(s) -
Kuczma Mieczysław S.
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410253
Subject(s) - shape memory alloy , discretization , materials science , composite number , alloy , diffusionless transformation , boundary value problem , bending , finite element method , variational inequality , composite material , martensite , structural engineering , mathematical analysis , mathematics , microstructure , engineering
We are concerned with the bending problem of fibrous composite beams in which fibres are made of shape memory alloys. These are alloys that may undergo a stress‐induced martensitic phase transformation. The matrix is treated as an elastic medium, and perfect bonding between matrix and fibres is supposed. In our model, the beam is decomposed into layers and the hysteretic behaviour of the shape memory fibres is taken into account. The boundary value problem is formulated in the form of an evolution variational inequality which, after finite element discretization, can be solved incrementally as a sequence of linear complementarity problems. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)