On the robustness and efficiency of integration algorithms for a 3D finite strain phenomenological SMA constitutive model (Articolo in rivista)

Type

• Articolo in rivista (Classe)
• Prodotto della ricerca (Classe)

Label

• On the robustness and efficiency of integration algorithms for a 3D finite strain phenomenological SMA constitutive model (Articolo in rivista) (literal)

Anno

• 2011-01-01T00:00:00+01:00 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi

• 10.1002/nme.2964 (literal)

Alternative label

• Arghavani J., Auricchio F., Naghdabadi R., Reali A. (2011)
  On the robustness and efficiency of integration algorithms for a 3D finite strain phenomenological SMA constitutive model
  in International journal for numerical methods in engineering (Print)
  (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

• Arghavani J., Auricchio F., Naghdabadi R., Reali A. (literal)

Pagina inizio

• 107 (literal)

Pagina fine

• 134 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

• 85 (literal)

Rivista

• International journal for numerical methods in engineering (Rivista)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo

• 1 (literal)

Note

• ISI Web of Science (WOS) (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

• Sharif Univ Technol, Dept Mech Engn, Tehran, Iran; Dipartimento Meccanica Strutturale, Università di Pavia, Italy; IUSS, Ctr Adv Numer Simulat CeSNA, Pavia, Italy; European Ctr Training & Res Earthquake Engn EUCEN, Pavia, Italy Sharif Univ Technol, Inst Nanosci & Technol, Iran (literal)

Titolo

• On the robustness and efficiency of integration algorithms for a 3D finite strain phenomenological SMA constitutive model (literal)

Abstract

• Most devices based on shape memory alloys experience large rotations and moderate or finite strains. This motivates the development of finite-strain constitutive models together with the appropriate computational counterparts. To this end, in the present paper a three-dimensional finite-strain phenomenological constitutive model is investigated and a robust and efficient integration algorithm is proposed. Properly defining the variables, extensively used regularization schemes are avoided and a nucleation-completion criterion is defined. Moreover, introducing a logarithmic mapping, a new form of time-discrete equations is proposed. The solution algorithm as well as a suitable initial guess for the resultant nonlinear equations are also deeply discussed. Extensive numerical tests are performed to show robustness as well as efficiency of the proposed integration algorithm. Implementation of the integration algorithm within a user-defined subroutine UMAT in the commercial nonlinear finite element software ABAQUS/Standard makes also possible the solution of a variety of boundary value problems. The obtained results show the efficiency and robustness of the proposed approach and confirm the improved efficiency (in terms of solution CPU time) when a nucleation-completion criterion is used instead of regularization schemes, as well as when a logarithmic mapping is used for the time-discrete evolution equation instead of an exponential mapping. (literal)

Prodotto di

• Sviluppo di competenze di modellistica per la realizzazione di grandi progetti industriali (SP.P01.003.001) (Modulo)
• Istituto di matematica applicata e tecnologie informatiche \"Enrico Magenes\" (IMATI) (Istituto)

Autore CNR

• FERDINANDO AURICCHIO (Persona)
• ALESSANDRO REALI (Persona)

Insieme di parole chiave

• Keywords of "On the robustness and efficiency of integration algorithms for a 3D finite strain phenomenological SMA constitutive model" (Insieme di parole chiave)

Incoming links:

Prodotto

• Istituto di matematica applicata e tecnologie informatiche \"Enrico Magenes\" (IMATI) (Istituto)
• Sviluppo di competenze di modellistica per la realizzazione di grandi progetti industriali (SP.P01.003.001) (Modulo)

Autore CNR di

• ALESSANDRO REALI (Persona)
• FERDINANDO AURICCHIO (Persona)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi

• International journal for numerical methods in engineering (Rivista)

Insieme di parole chiave di

• Keywords of "On the robustness and efficiency of integration algorithms for a 3D finite strain phenomenological SMA constitutive model" (Insieme di parole chiave)