Mechanics of nonlinear visco-hyperelastic-hysteresis membranes

Firouzi, Nasser

doi:10.1016/j.ijnonlinmec.2022.104231

Cited by 13 publications

(2 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The resulting model would reduce to a set of ordinary differential equations involving the longitudinal and hoop stretches and stresses as well as their time derivatives. The required visco-elastic constitutive law is now fully 2D and requires careful formulation (Firouzi, 2022). Second, contact with friction or adhesion ought to be considered, as was done by Srivastava and Hui (2013a) in the plane strain assumption (see also Kumar and DasGupta, 2013;Kolesnikov, 2017;Liu et al, 2018); we expect that the resulting system of equations will no longer be algebraic in that case.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

On the generalized plane strain assumption for pressurized membranes

Thbaut,

Brisard

2023

International Journal of Solids and Structures

View full text Add to dashboard Cite

Section: Discussionmentioning

confidence: 99%

“…Pressurized membranes are in use in various technological domains such as aerospace (Chandra et al, 2020) or civil engineering (Chilton, 2013). Their mechanical behavior is well understood (Khaniki et al, 2023;Firouzi, 2022), allowing for complex numerical simulations (Fu et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

On the generalized plane strain assumption for pressurized membranes

Thbaut,

Brisard

2023

International Journal of Solids and Structures

View full text Add to dashboard Cite

Hyperelastic constitutive model parameters identification using optical-based techniques and hybrid optimisation

Mollaee,

Budgett,

Taberner

et al. 2023

Int J Mech Mater Des

View full text Add to dashboard Cite

In this paper we propose a new optical-based technique to identify the constitutive relation coefficients of the hyperelastic material using a hybrid optimisation approach. This technique can be used in place of traditional mechanical testing of elastomers for applications that involve inhomogeneous deformation. The purpose of the proposed method is to identify the incompressible hyperelastic material constitutive relation coefficients using a single experiment under different loading cases. The method comprises sample surface 3D reconstruction and uses finite element simulations to replicate the experiments, and uses a hybrid optimisation technique to minimise the error between actual 3D deformations and FE simulation results. The proposed hybrid technique predicts the hyperelastic constitutive relation coefficients more accurately than other optimisation methods. This study introduces a novel approach by employing a subpixel image registration algorithm for 3D reconstruction. The method requires a single experiment with diverse loading cases to accurately determine the coefficients of hyperelastic constitutive relations. The setup is portable and can be accommodated in a small suitcase. For this purpose, an apparatus was constructed comprising a stereoscopic system with eight cameras and a six-degree-of-freedom force-torque sensor to measure the induced forces and torques during the experiments. We identified the constitutive relation coefficients of Ogden N1, Ogden N3, Yeoh, and Arruda-Boyce relations which are commonly used models for silicone materials, using a traditional uniaxial test, optical uniaxial test (experiments performed using a constructed optical system), and inhomogeneous deformations tests. The study demonstrated that the coefficients obtained from inhomogeneous deformation tests provided the most accurate FE predictions. It was also shown that hyperelastic constitutive relation coefficients obtained from traditional uniaxial tests are insufficient to describe the material behaviour when the material undergoes inhomogeneous deformations.

show abstract