F. Auricchio et al., SHAPE-MEMORY ALLOYS - MACROMODELLING AND NUMERICAL SIMULATIONS OF THESUPERELASTIC BEHAVIOR, Computer methods in applied mechanics and engineering, 146(3-4), 1997, pp. 281-312
Shape-memory alloys show features not present in materials traditional
ly used in engineering; as a consequence, they are the basis for innov
ative applications. A review of the available literature shows a deart
h of computational tools to support the design process of shape-memory
-alloy devices. A major reason is that conventional inelastic models d
o not provide an adequate framework for representing the unusual macro
behavior of shape-memory materials. The present work focuses on a new
family of inelastic models, based on an internal-variable formalism an
d known as generalized plasticity. Generalized plasticity is adopted h
erein as framework for the development of one- and three-dimensional c
onstitutive models for shape-memory materials. The proposed constituti
ve models reproduce some of the basic features of shape-memory alloys,
such as superelasticity, different material behavior in tension and c
ompression, and the single-variant-martensite reorientation process. F
or isothermal conditions the implementation of the model in a finite-e
lement scheme and the form of the algorithmically consistent tangent a
re discussed in detail. Numerical simulations of typical tests perform
ed on shape-memory materials (e.g. uniaxial Loading, four-point bendin
g and three-point bending tests) are presented and compared with avail
able experimental data. Based on the overall developments, it appears
that the proposed approach is a viable basis for the development of an
effective computational tool to be used in the simulation of shape-me
mory-alloy devices.