Computational Biomechanics of Soft Biological Tissue

Holzapfel, Gerhard

doi:10.1002/0470091355.ecm041

Cited by 43 publications

(42 citation statements)

References 181 publications

(238 reference statements)

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“…There exist a number of constitutive models of soft tissue, most of which 12,15,20,24 account only for the tissue deformation in an elastic domain on the basis of hyperelasticity. In Kroon and Holzapfel, 16 an anisotropic strain-energy function was used to develop the constitutive relations of a multiple collagen layers.…”

Section: Introductionmentioning

confidence: 99%

A Constitutive Model of Soft Tissue: From Nanoscale Collagen to Tissue Continuum

2009

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Soft collagenous tissue features many hierarchies of structure, starting from tropocollagen molecules that form fibrils, and proceeding to a bundle of fibrils that form fibers. Here we report the development of an atomistically informed continuum model of collagenous tissue. Results from full atomistic and molecular modeling are linked with a continuum theory of a fiber-reinforced composite, handshaking the fibril scale to the fiber and continuum scale in a hierarchical multi-scale simulation approach. Our model enables us to study the continuum-level response of the tissue as a function of cross-link density, making a link between nanoscale collagen features and material properties at larger tissue scales. The results illustrate a strong dependence of the continuum response as a function of nanoscopic structural features, providing evidence for the notion that the molecular basis for protein materials is important in defining their larger-scale mechanical properties.

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Section: Introductionmentioning

confidence: 99%

A Constitutive Model of Soft Tissue: From Nanoscale Collagen to Tissue Continuum

2009

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“…a total of 576 elements (see Figure 5). For the hyperelastic behaviour of the tissue, use is made of the following parameters (see for example [28,29] for similar values adopted in the modelling of arteries): = 8.5 kPa and = 3.2 kPa, i.e. ≈ 0.4.…”

Section: A Nonhomogeneous Growth In a Tubementioning

confidence: 99%

On a continuum thermodynamics formulation and computational aspects of finite growth in soft tissues

Nedjar

2011

Numer Methods Biomed Eng

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17 pagesInternational audienceIn this paper, we try to settle the bases of a concise modelling of growth within the unified framework of continuum thermodynamics. Special emphasis is placed on the modelling of soft biological tissues at finite strains. For this, we adopt the nowadays well-known kinematic assumption of a multiplicative decomposition of the deformation gradient into an elastic part and a growth part. It is shown how continuum thermodynamics is crucial in setting convenient forms for the coupling between stress and growth in general. The particularization to isotropy simplifies considerably the growth modelling from both the theoretical and the numerical points of view. Simple growth constitutive equations are proposed and embedded into a finite element context. Finally, representative numerical examples examining stress-dependent growth and residual stress arising from growth and resorption close this study

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“…Hyperelasticity seems to be the most appropriate constitutive model for soft tissues (skin, bladder, bloodvessel wall, pericardium, mesenterium, etc.) [1][2][3][4].…”

Section: Introductionmentioning

confidence: 99%

Mechanical Characterization of Biological Membranes with Moiré Techniques and Multi-Point Simulated Annealing

et al. 2008

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This paper describes an hybrid procedure for mechanical characterization of biological membranes. The in-plane displacement field of a glutaraldehyde treated bovine pericardium patch obtained with an equi-biaxial tension test is measured with intrinsic moiré and then compared with finite element predictions. Preliminary analysis of moiré patterns observed in the experiments justifies the assumption of the constitutive model based on transversely isotropic hyperelasticity. In order to determine the 16 hyperelastic constants included in the constitutive model and the fiber orientation, the difference Ω between displacement values measured with moiré and their counterpart determined numerically is minimized by means of multi-level and multi-point simulated annealing. Results clearly demonstrate the efficiency of the identification procedure presented in this research: in fact, residual difference between experimental data and numerical values of in-plane displacements is less than 2%. In order to validate the entire identification process, another experimental test is conducted by inflating the same specimen. Out-of-plane displacements, now measured with projection moiré, are compared with predictions of a new finite element model reproducing the experimental test. The 16 hyper-elastic constants previously determined are given in input to the inflation test FE model. Remarkably, experimental and numerical results are again in excellent agreement: maximum percent error on w-displacement is less than 3%.

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Computational Biomechanics of Soft Biological Tissue

Cited by 43 publications

References 181 publications

A Constitutive Model of Soft Tissue: From Nanoscale Collagen to Tissue Continuum

A Constitutive Model of Soft Tissue: From Nanoscale Collagen to Tissue Continuum

On a continuum thermodynamics formulation and computational aspects of finite growth in soft tissues

Mechanical Characterization of Biological Membranes with Moiré Techniques and Multi-Point Simulated Annealing

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