2023
DOI: 10.1016/j.jmps.2022.105156
|View full text |Cite
|
Sign up to set email alerts
|

A new micro–macro transition for hyperelastic materials

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
4

Citation Types

0
12
0

Year Published

2023
2023
2024
2024

Publication Types

Select...
6

Relationship

0
6

Authors

Journals

citations
Cited by 38 publications
(12 citation statements)
references
References 73 publications
0
12
0
Order By: Relevance
“…Representatives are the Ogden model [19], the Arruda–Boyce model [20], the Gent model [21], to name but a few. Of them, the latter two with two parameters (cf., the latest development [22] in this respect) demonstrate applicability for large strain data for uniaxial extension and plane‐strain extension, while the former with six parameters show validity for large strain data for all three benchmark modes.…”
Section: Introductionmentioning
confidence: 95%
“…Representatives are the Ogden model [19], the Arruda–Boyce model [20], the Gent model [21], to name but a few. Of them, the latter two with two parameters (cf., the latest development [22] in this respect) demonstrate applicability for large strain data for uniaxial extension and plane‐strain extension, while the former with six parameters show validity for large strain data for all three benchmark modes.…”
Section: Introductionmentioning
confidence: 95%
“…Since these earlier developments, several variants have been proposed that aim to retain much of the simplicity and physical-basis of earlier models while also providing a better fit to the S-shaped stress-strain curves of the well-known Treloar data for rubber elasticity [12][13][14][15][16][17]. Many of these variants decompose the free energy density of the network additively into a contribution which represents the "cross-linked network"-often modelled using the 8-chain or a full network modeland a topological constraint contribution due to chain entanglements within the network.…”
Section: Introductionmentioning
confidence: 99%
“…Whereas, alternatively, Miroshnychenko and Green [14] models the topological contribution using strain invariants. For full network type models, a new macro-to-micro kinematic assumption has recently been developed, based on an affine stretch projection and a microscale analog of the Biot stress, which performs well for capturing complex and multiaxial stress-strain relationships [17]. Many constitutive models for rubber-like elasticity exist in the literature that attempt to balance between competing objectives: 1) contain as few fitting parameters as possible, 2) have the ability to reproduce complex deformation behavior, and 3) in the interest of informing material design, have model parameters which are physically interpretable and can be reasonably connected to the underlying microstructure of the material.…”
Section: Introductionmentioning
confidence: 99%
“…Due to the flexibility of the design and the uncertainty of the manufacture, the volume content, the microscopic distribution, and the arrangement direction of reinforcing fibers in CCF/PEEK composites would vary significantly. Therefore, evaluating the mechanical performance of composites cannot solely rely on tests, but requires theoretical models and numerical simulations to deepen the understanding of the mechanical properties at different scales from the fiber level to the structure level 19–23 . Up to now, various theoretical models have been developed to predict the elastic response of unidirectional (UD) composites based on the micro‐mechanical approaches, such as the generalized cells model, 24 simplified unit cell model, 25 Mori‐Tanaka model, 26 Chamis model, 27,28 free shear traction (FST) method, 29 bridging model, 30 and so forth, which have been widely applied to predict the elastic mechanical response of UD composites.…”
Section: Introductionmentioning
confidence: 99%
“…Therefore, evaluating the mechanical performance of composites cannot solely rely on tests, but requires theoretical models and numerical simulations to deepen the understanding of the mechanical properties at different scales from the fiber level to the structure level. [19][20][21][22][23] Up to now, various theoretical models have been developed to predict the elastic response of unidirectional (UD) composites based on the micro-mechanical approaches, such as the generalized cells model, 24 simplified unit cell model, 25 Mori-Tanaka model, 26 Chamis model, 27,28 free shear traction (FST) method, 29 bridging model, 30 and so forth, which have been widely applied to predict the elastic mechanical response of UD composites. To solve the timeÀ/temperature-dependent anisotropic problems, some of the models can be extended to incorporate the elastic-viscoelastic correspondence principle.…”
mentioning
confidence: 99%