Improvements and algorithmical considerations on a recent three‐dimensional model describing stress‐induced solid phase transformations

By Ferdinando Auricchio, Lorenza Petrini. 2002

171 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Materials Chemistry, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/495f93b12fabf2e4e27ccdd19575b0837bf31a9f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Alexander Mielke
2. Tarak Ben Zineb
3. Cheikh Cissé
4. R. Naghdabadi
5. J. Arghavani
6. Ferdinando Auricchio
7. W. Zaki
8. Lorenza Petrini

In Materials Chemistry

1. J. Arghavani
2. R. Naghdabadi
3. Alexander Mielke
4. Tarak Ben Zineb
5. Cheikh Cissé
6. Saeed Sohrabpour
7. Ferdinando Auricchio
8. W. Zaki

In Mechanical Engineering

1. Alexander Mielke
2. Ferdinando Auricchio
3. J. Arghavani
4. R. Naghdabadi
5. Tarak Ben Zineb
6. W. Zaki
7. Cheikh Cissé
8. Lorenza Petrini

Citations in the corpus

• A three‐dimensional model describing stress‐temperature induced solid phase transformations: solution algorithm and boundary value problems (2004, methodology): “From the initial phenomenological macroscopic 1D models [15, 16] to the more recent sophisticated 3D models able to take into account for example phase interactions as well as the thermomechanical coupling (for a review see Reference [17] and references therein), many progress have been achieved.”
• A finite strain kinematic hardening constitutive model based on Hencky strain: General framework, solution algorithm and application to shape memory alloys (2011, methodology): “Moreover, we develop a finite-strain SMA model by extending a small-strain constitutive model proposed by Souza et al. (1998), its capability has been shown in several works (Auricchio and Petrini, 2002, 2004a,b; Arghavani et al., 2010c).”
• Chapter 6 – Evolution of Rate-Independent Systems (2005, methodology): “A totally different approach to shape-memory materials is given in [AP02].”
• A review of constitutive models and modeling techniques for shape memory alloys (2016, methodology): “For computation efficiency, Arghavani et al. (2011a) proposed a FSF with a robust integration scheme based on the work of Souza et al. (1998).”
• A 3-D phenomenological constitutive model for shape memory alloys under multiaxial loadings (2010, methodology): “(27) which is more consistent with different papers in the literature, such as Souza et al. (1998), Auricchio and Petrini (2002), and Panico and Brinson (2007).”