A finite strain kinematic hardening constitutive model based on Hencky strain: General framework, solution algorithm and application to shape memory alloys

Arghavani, J.; Auricchio, Ferdinando; Naghdabadi, R.

doi:10.1016/j.ijplas.2010.10.006

Cited by 113 publications

(49 citation statements)

References 67 publications

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“…Using (10), we may replace the time derivative of elastic and inelastic Hencky strains in (20) with any corotational rate in the form of (8). In particular, we use the corresponding logarithmic spin tensors, i.e., X logÀe and X log , which according to (11) result in [31] @c neq @h e :…”

Section: Constitutive Model Developmentmentioning

confidence: 99%

“…Therefore, it is concluded that the invariants of h e are equal to those of an elastic-like strain tensor H e defined as [31] …”

Section: Expressing the Relations In The Initial Configurationmentioning

confidence: 99%

“…It is worthwhile to mention that using Hencky strain, the incompressibility constraint takes a very simple form [22]. In the paper by Arghavani et al [31], based on Hencky strain, a finite strain kinematichardening constitutive model has been presented.…”

Section: Introductionmentioning

confidence: 99%

“…In this study, we employ the method used in [31] and extend it to the time-dependent response of viscoelastic compressible materials. To this end, the paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A viscoelastic constitutive model for compressible polymers based on logarithmic strain and its finite element implementation

Naghdabadi

Baghani

Arghavani

2012

Finite Elements in Analysis and Design

Self Cite

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Section: Constitutive Model Developmentmentioning

confidence: 99%

“…Therefore, it is concluded that the invariants of h e are equal to those of an elastic-like strain tensor H e defined as [31] …”

Section: Expressing the Relations In The Initial Configurationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…In this study, we employ the method used in [31] and extend it to the time-dependent response of viscoelastic compressible materials. To this end, the paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A viscoelastic constitutive model for compressible polymers based on logarithmic strain and its finite element implementation

Naghdabadi

Baghani

Arghavani

2012

Finite Elements in Analysis and Design

Self Cite

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“…Based on experimental observations, many macro-phenomenological constitutive models were constructed in the last two decades to describe the thermo-mechanical deformation of NiTi SMA, and the representative works can be referred to Lagoudas et al (2006Lagoudas et al ( , 2012, Panico and Brinson (2007), Zaki and Moumni (2007a), Hartl and Lagoudas (2009), Arghavani et al (2010Arghavani et al ( , 2011, Thamburaja (2010), Chemisky et al (2011Chemisky et al ( , 2014, Morin et al (2011a), Sedlák et al (2012), Zaki (2012), Teeriaho (2013), Auricchio et al (2014) and Xiao (2014). However, these models cannot be used to describe the cyclic deformation of NiTi SMA, since the transformation ratchetting features are not considered by them.…”

Section: Introductionmentioning

confidence: 99%

Effect of martensite reorientation and reorientation-induced plasticity on multiaxial transformation ratchetting of super-elastic NiTi shape memory alloy: New consideration in constitutive model

Kang

Song

et al. 2015

International Journal of Plasticity

105

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Constitutive modeling of visco‐hyperelastic behavior of double‐network hydrogels using long‐term memory theory

Javadi

Darijani

Niknafs

2020

J of Applied Polymer Sci

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Double-network hydrogels with viscoelastic behavior are appropriate materials for biomechanical applications. In this article, the standard linear solid (SLS) rheological model for the linear viscoelastic materials is generalized to the viscoelastic materials with large nonlinear deformations. Based on this viewpoint, the constitutive equation is proposed as sum of two parts including the straindependent elastic stress, and the viscous stress, which depends on the strain and strain rate. The elastic part of the stress is modeled via considering a hyperelastic strain energy function, while the main core of the viscous stress part requires a time-dependent weight function to satisfy the long-term memory fading principle. In addition, the weight function is proposed such that it can capture the mechanical behavior trend corresponding to the strain and strain rate for a double-network hydrogel in the relaxation test. Finally, to evaluate the performance of the proposed constitutive equation for the mechanical behavior modeling of double-network hydrogels, the tests on these materials have been used, and the material parameters are determined from fitting the experimental results to the theory. The agreement of test and theory results showed that the proposed model is capable to model the mechanical behavior of double-network hydrogels.

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A finite strain kinematic hardening constitutive model based on Hencky strain: General framework, solution algorithm and application to shape memory alloys

Cited by 113 publications

References 67 publications

A viscoelastic constitutive model for compressible polymers based on logarithmic strain and its finite element implementation

A viscoelastic constitutive model for compressible polymers based on logarithmic strain and its finite element implementation

Effect of martensite reorientation and reorientation-induced plasticity on multiaxial transformation ratchetting of super-elastic NiTi shape memory alloy: New consideration in constitutive model

Constitutive modeling of visco‐hyperelastic behavior of double‐network hydrogels using long‐term memory theory

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