Numerical analysis of a three‐dimensional super‐elastic constitutive model | Zendy

Auricchio Ferdinando | Zendy; Stefanelli Ulisse | Zendy

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Numerical analysis of a three‐dimensional super‐elastic constitutive model

Author(s) -

Auricchio Ferdinando,

Stefanelli Ulisse

Publication year - 2004

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1062

Subject(s) - discretization , constitutive equation , class (philosophy) , constant (computer programming) , mathematics , variable (mathematics) , discretization error , numerical analysis , approximation error , relation (database) , finite element method , mathematical analysis , computer science , physics , thermodynamics , artificial intelligence , database , programming language

This note deals with the efficient approximation of a non‐linear constitutive relation arising in the study of the three‐dimensional mechanical behaviour of shape memory alloys at constant temperature. In particular, a variable time‐step discretization is investigated. For such an algorithm we prove sharp error estimates of optimal order and exactness for a class of experimentally relevant situations. We also report numerical results relative to proportional and non‐proportional loading tests which fully confirm the theoretical analysis. Copyright © 2004 John Wiley & Sons, Ltd.

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