Continuous softening up to the onset of failure: A hyperelastic modelling approach with intrinsic softening for isotropic incompressible soft solids

Anssari-Benam, Afshin

doi:10.1016/j.mechrescom.2023.104183

Mechanics Research Communications

2023

DOI: 10.1016/j.mechrescom.2023.104183

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Continuous softening up to the onset of failure: A hyperelastic modelling approach with intrinsic softening for isotropic incompressible soft solids

Afshin Anssari-Benam

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2024

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Cited by 6 publications

References 47 publications

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Modelling the Deformation of Polydomain Liquid Crystal Elastomers as a State of Hyperelasticity

Anssari-Benam,

Wei,

Bai

2024

J Elast

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A hyperelasticity modelling approach is employed for capturing various and complex mechanical behaviours exhibited by macroscopically isotropic polydomain liquid crystal elastomers (LCEs). These include the highly non-linear behaviour of nematic-genesis polydomain LCEs, and the soft elasticity plateau in isotropic-genesis polydomain LCEs, under finite multimodal deformations (uniaxial and pure shear) using in-house synthesised acrylate-based LCE samples. Examples of application to capturing continuous softening (i.e., in the primary loading path), discontinuous softening (i.e., in the unloading path) and auxetic behaviours are also demonstrated on using extant datasets. It is shown that our comparatively simple model, which breaks away from the neo-classical theory of liquid crystal elastomers, captures the foregoing behaviours favourably, simply as states of hyperelasticity. Improved modelling results obtained by our approach compared with the existing models are also discussed. Given the success of the considered model in application to these datasets and deformations, the simplicity of its functional form (and thereby its implementation), and comparatively low(er) number of parameters, the presented isotropic hyperelastic strain energy function here is suggested for: (i) modelling the general mechanical behaviour of LCEs, (ii) the backbone in the neo-classical theory, and/or (iii) the basic hyperelastic model in other frameworks where the incorporation of the director, anisotropy, viscoelasticity, temperature, softening etc parameters may be required.

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Modelling the Deformation of Polydomain Liquid Crystal Elastomers as a State of Hyperelasticity

Anssari-Benam,

Wei,

Bai

2024

J Elast

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A generalisation of the Pucci–Saccomandi model of rubber elasticity

Anssari-Benam

2024

International Journal of Non-Linear Mechanics

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A unified pseudo-elastic model of continuous and discontinuous softening in the finite deformation of isotropic soft solids

Anssari-Benam,

Hossain

2024

International Journal of Solids and Structures

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Continuous softening up to the onset of failure: A hyperelastic modelling approach with intrinsic softening for isotropic incompressible soft solids

Cited by 6 publications

References 47 publications

Modelling the Deformation of Polydomain Liquid Crystal Elastomers as a State of Hyperelasticity

Modelling the Deformation of Polydomain Liquid Crystal Elastomers as a State of Hyperelasticity

A generalisation of the Pucci–Saccomandi model of rubber elasticity

A unified pseudo-elastic model of continuous and discontinuous softening in the finite deformation of isotropic soft solids

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