A micromechanics-based model for the Mullins effect

Tommasi, Domenico De; Puglisi, Giuseppe; Saccomandi, Giuseppe

doi:10.1122/1.2206706

Cited by 92 publications

(86 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In particular, the application of nonlinear elasticity theory to the framework of biomechanics of soft tissues provided a new impetus for a synergetic approach between the statistical mechanics and the continuum mechanics theories. This synergy opened the path to a new generation of models [13][14][15][16][17] relating the macroscopic response to the material properties at lower scales. The complexity and the technological and scientific impact lead to a variety of new proposed multiscale approaches especially in the case of nano-scale elaborated materials (e.g.…”

Section: Limits As a Result While Mooney Theory Does Not Provide A mentioning

confidence: 99%

“…In the various stages of the deformation, the material is composed by a variable amount of active hard and soft phases and the evolution of this mixture can model the strain-hardening phenomena, the stress-softening, the damage and the internal hysteresis of the material. This simple idea allows many degrees of freedom in the modelling of the mechanical behaviour of complex amorphous materials [16,42].…”

Section: Multi-scale and Microstructure-inspired Continuum Modelsmentioning

confidence: 99%

“…If the strain is increased further there exists another threshold ε = ε b := ε a + δ, where the cross-link is completely damaged and it stops to have a mechanical function, so that new monomers are available to the chain (soft phase with a new stress σ s = σ s (ε). To model a real network, we introduce a probability function depending on both ε a and ε b that can be deduced by simple cyclic experiments [16]. This probability describes that the cross-links are not all activated and broken at the same value of ε a and ε b .…”

Section: Multi-scale and Microstructure-inspired Continuum Modelsmentioning

confidence: 99%

See 2 more Smart Citations

Multi-scale modelling of rubber-like materials and soft tissues:an appraisal

Puglisi

Saccomandi

2016

Proc. R. Soc. A.

Self Cite

View full text Add to dashboard Cite

We survey, in a partial way, multi-scale approaches for the modelling of rubber-like and soft tissues and compare them with classical macroscopic phenomenological models. Our aim is to show how it is possible to obtain practical mathematical models for the mechanical behaviour of these materials incorporating mesoscopic (network scale) information. Multi-scale approaches are crucial for the theoretical comprehension and prediction of the complex mechanical response of these materials. Moreover, such models are fundamental in the perspective of the design, through manipulation at the micro-and nano-scales, of new polymeric and bioinspired materials with exceptional macroscopic properties.

show abstract

Section: Limits As a Result While Mooney Theory Does Not Provide A mentioning

confidence: 99%

Section: Multi-scale and Microstructure-inspired Continuum Modelsmentioning

confidence: 99%

Section: Multi-scale and Microstructure-inspired Continuum Modelsmentioning

confidence: 99%

See 1 more Smart Citation

Multi-scale modelling of rubber-like materials and soft tissues:an appraisal

Puglisi

Saccomandi

2016

Proc. R. Soc. A.

Self Cite

View full text Add to dashboard Cite

show abstract

“…These transitions are signalled by the periodic localized force drops induced by the entropy jumps owing to the creation of new free monomers. As a result, we observe hysteresis cycles (figure 1) with no permanent deformations resembling the pseudo-elastic hysteresis well known in metal alloys such as shape memory alloys (see [24]) or in rubber elasticity, owing to the polymeric network damage, known as the Mullins effect [25].…”

Section: Introductionmentioning

confidence: 93%

An energetic model for macromolecules unfolding in stretching experiments

Tommasi

Millardi

Puglisi

et al. 2013

J. R. Soc. Interface.

Self Cite

View full text Add to dashboard Cite

We propose a simple approach, based on the minimization of the total (entropic plus unfolding) energy of a two-state system, to describe the unfolding of multidomain macromolecules (proteins, silks, polysaccharides, nanopolymers). The model is fully analytical and enlightens the role of the different energetic components regulating the unfolding evolution. As an explicit example, we compare the analytical results with a titin atomic force microscopy stretch-induced unfolding experiment showing the ability of the model to quantitatively reproduce the experimental behaviour. In the thermodynamic limit, the sawtooth force-elongation unfolding curve degenerates to a constant force unfolding plateau.

show abstract

“…Detailed experimental data of the distribution of each collagen type and the stiffness of the collagen fibres of the different types would be ideal for the inclusion into the proposed constitutive model. Regarding the structure of the collagen network, cross-links between fibrils play a role at the fibril-to-fibre level [25]. This is not considered in this study and leaves room for more detailed structural models capturing the mechanical response of arteries.…”

Section: Resultsmentioning

confidence: 99%

Constitutive modelling of arteries considering fibre recruitment and three-dimensional fibre distribution

Weisbecker

Unterberger

Holzapfel

2015

J. R. Soc. Interface.

View full text Add to dashboard Cite

Structurally motivated material models may provide increased insights into the underlying mechanics and physics of arteries under physiological loading conditions. We propose a multiscale model for arterial tissue capturing three different scales (i) a single collagen fibre; (ii) bundle of collagen fibres; and (iii) collagen network within the tissue. The waviness of collagen fibres is introduced by a probability density function for the recruitment stretch at which the fibre starts to bear load. The three-dimensional distribution of the collagen fibres is described by an orientation distribution function using the bivariate von Mises distribution, and fitted to experimental data. The strain energy for the tissue is decomposed additively into a part related to the matrix material and a part for the collagen fibres. Volume fractions account for the matrix/fibre constituents. The proposed model only uses two parameters namely a shear modulus of the matrix material and a (stiffness) parameter related to a single collagen fibre. A fit of the multiscale model to representative experimental data obtained from the individual layers of a human thoracic aorta shows that the proposed model is able to adequately capture the nonlinear and anisotropic behaviour of the aortic layers.

show abstract

A micromechanics-based model for the Mullins effect

Cited by 92 publications

References 22 publications

Multi-scale modelling of rubber-like materials and soft tissues:an appraisal

Multi-scale modelling of rubber-like materials and soft tissues:an appraisal

An energetic model for macromolecules unfolding in stretching experiments

Constitutive modelling of arteries considering fibre recruitment and three-dimensional fibre distribution

Contact Info

Product

Resources

About