Mechanical characterization and constitutive modelling of the damage process in rectus sheath

Martins, Pedro; Peña, Estefanía; Jorge, R.M. Natal; Santos, Agostinho; Santos, Liliana; Mascarenhas, Teresa; Calvo, Begoña

doi:10.1016/j.jmbbm.2011.12.005

Cited by 71 publications

(55 citation statements)

References 59 publications

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“…Figure 10. Cauchy stress vs. stretch of the composite and its individual components modeled with the Ogdenbased damage formulation and mixing theory to reproduce the experimental data by Martins et al [27] (left) and the material parameters used (right).…”

Section: Discussionmentioning

confidence: 99%

“…The damage formulation particularized for Ogden hyperelasticity has been used to fit experimental data of fibered soft biological tissue [27] by means of mixing theory. This theory describes the behavior of a composite material as the composition between the individual components.…”

Section: Discussionmentioning

confidence: 99%

“…Then, the contribution of each component to the composite tissue is determined by their volumetric participation (v). As an example, the experimental data obtained by Martins et al [27] is used to illustrate how the manifestly different behaviors of fiber and matrix can be represented by means of the damage model proposed, particularized for Ogden hyperelasticity, and in the framework of mixing theory.…”

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confidence: 99%

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A generalized finite‐strain damage model for quasi‐incompressible hyperelasticity using hybrid formulation

Comellas

Bellomo

Oller

2015

Numerical Meth Engineering

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SUMMARYA new generalized damage model for quasi-incompressible hyperelasticity in a total Lagrangian finite strain framework is presented. A Kachanov-like reduction factor (1 − D) is applied on the deviatoric part of the hyperelastic constitutive model. Linear and exponential softening are defined as damage evolution laws, both describable in terms of only two material parameters. The model is formulated following continuum damage mechanics theory such that it can be particularized for any hyperelastic model based on the volumetricisochoric split of the Helmholtz free energy. However, in the present work it has been implemented in an in-house finite element code for neo-Hooke and Ogden hyperelasticity. The details of the hybrid formulation used are also described. A couple of three-dimensional examples are presented to illustrate the main characteristics of the damage model. The results obtained reproduce a wide range of softening behaviors, highlighting the versatility of the formulation proposed. The damage formulation has been developed to be used in conjunction with mixing theory in order to model the behavior of fibered biological tissues. As an example, the markedly different behaviors of the fundamental components of the rectus sheath were reproduced using the damage model, obtaining excellent correlation with the experimental results from literature.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

mentioning

confidence: 99%

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A generalized finite‐strain damage model for quasi‐incompressible hyperelasticity using hybrid formulation

Comellas

Bellomo

Oller

2015

Numerical Meth Engineering

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“…However, there is surprisingly no literature on the mechanical environment that generates IAP and thus no fundamental understanding of the stress states during hernia formation in the rectus sheath. There is also limited data on the structural properties of rectus sheath, with varying protocols and conflicting results (Ben Abdelounis et al, 2013;Martins et al, 2012;Rath et al, 1997). Rath et al studied human rectus sheath in uniaxial tension but only reported failure stress and elongation.…”

Section: Introductionmentioning

confidence: 99%

Mechanical characterisation of porcine rectus sheath under uniaxial and biaxial tension

Lyons

Winter

Simms

2014

Journal of Biomechanics

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“…The rate of change of the stress-like internal variableq i , with i = {0, 1, 2}, can be defined as: 14) where −H i is the softening modulus, χ is a parameter that affects the rate of softening, and A i is a value to be defined by imposing the objectivity of the approach regarding the characteristic size of the mesh in a finite element analysis [80].…”

Section: Internal Dissipation and Softening Regularisationmentioning

confidence: 99%

A study of the mechanical behaviour of the human aortic artery by means of non-linear finite element models

López¹,

Andrés²

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Mechanical characterization and constitutive modelling of the damage process in rectus sheath

Cited by 71 publications

References 59 publications

A generalized finite‐strain damage model for quasi‐incompressible hyperelasticity using hybrid formulation

A generalized finite‐strain damage model for quasi‐incompressible hyperelasticity using hybrid formulation

Mechanical characterisation of porcine rectus sheath under uniaxial and biaxial tension

A study of the mechanical behaviour of the human aortic artery by means of non-linear finite element models

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