A Brief Review on Computational Modeling of Rupture in Soft Biological Tissues

Gültekin, Osman; Holzapfel, Gerhard

doi:10.1007/978-3-319-60885-3_6

Cited by 11 publications

(7 citation statements)

References 60 publications

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“…The solution of nonlinear problems necessitates the consideration of spatial elasticity tensors which can be readily derived, see, e.g., [12,15].…”

Section: Stress Expressionsmentioning

confidence: 99%

“…Moreover, enforcing incompressibility via an expedient method such as the augmented Lagrangian method often generates convergence issues with such highly inelastic constitutive responses. For recent investigations of the rupture behavior of aortic tissues we refer to Gültekin et al [10][11][12] and references therein. For soft biological tissues, it is of utmost importance to carry out fast yet reliable numerical analyses which enable a precise validation of experimental data obtained in vivo or ex vivo.…”

Section: Summary and Concluding Remarksmentioning

confidence: 99%

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On the quasi-incompressible finite element analysis of anisotropic hyperelastic materials

2018

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Quasi-incompressible behavior is a desired feature in several constitutive models within the finite elasticity of solids, such as rubber-like materials and some fiber-reinforced soft biological tissues. The Q1P0 finite element formulation, derived from the three-field Hu-Washizu variational principle, has hitherto been exploited along with the augmented Lagrangian method to enforce incompressibility. This formulation typically uses the unimodular deformation gradient. However, contributions by Sansour (Eur J Mech A Solids 27: [28][29][30][31][32][33][34][35][36][37][38][39] 2007) and Helfenstein et al. (Int J Solids Struct 47:2056-2061 conspicuously demonstrate an alternative concept for analyzing fiber reinforced solids, namely the use of the (unsplit) deformation gradient for the anisotropic contribution, and these authors elaborate on their proposals with analytical evidence. The present study handles the alternative concept from a purely numerical point of view, and addresses systematic comparisons with respect to the classical treatment of the Q1P0 element and its coalescence with the augmented Lagrangian method by means of representative numerical examples. The results corroborate the new concept, show its numerical efficiency and reveal a direct physical interpretation of the fiber stretches.

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“…The solution of nonlinear problems necessitates the consideration of spatial elasticity tensors which can be readily derived, see, e.g., [12,15].…”

Section: Stress Expressionsmentioning

confidence: 99%

Section: Summary and Concluding Remarksmentioning

confidence: 99%

On the quasi-incompressible finite element analysis of anisotropic hyperelastic materials

2018

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“…Hence rupture in soft tissues needs a damage model along with fracture mechanics. Earlier review works [ 6 , 7 , 32 , 33 ] presented damage and rupture separately, wherein this paper reviews both damage and rupture in soft tissues. The earlier reported reviews are either tissue-specific or confined to phenomenological models.…”

Section: Introductionmentioning

confidence: 99%

A Review on Damage and Rupture Modelling for Soft Tissues

et al. 2022

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Computational modelling of damage and rupture of non-connective and connective soft tissues due to pathological and supra-physiological mechanisms is vital in the fundamental understanding of failures. Recent advancements in soft tissue damage models play an essential role in developing artificial tissues, medical devices/implants, and surgical intervention practices. The current article reviews the recently developed damage models and rupture models that considered the microstructure of the tissues. Earlier review works presented damage and rupture separately, wherein this work reviews both damage and rupture in soft tissues. Wherein the present article provides a detailed review of various models on the damage evolution and tear in soft tissues focusing on key conceptual ideas, advantages, limitations, and challenges. Some key challenges of damage and rupture models are outlined in the article, which helps extend the present damage and rupture models to various soft tissues.

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“…On the contrary, there has been an exponential growth in the development of such models, based on emerging simulation techniques and increased computational power. A comprehensive review of the main computational techniques dealing with damage and rupture of soft tissues can be found in Gültekin and Holzapfel ( 2018 ). Among them, the extended finite element method (XFEM) has been the subject of extensive research (Agathos et al.…”

Section: Introductionmentioning

confidence: 99%

An adaptive finite element model for steerable needles

Terzano

Dini

Baena

et al. 2020

Biomech Model Mechanobiol

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Penetration of a flexible and steerable needle into a soft target material is a complex problem to be modelled, involving several mechanical challenges. In the present paper, an adaptive finite element algorithm is developed to simulate the penetration of a steerable needle in brain-like gelatine material, where the penetration path is not predetermined. The geometry of the needle tip induces asymmetric tractions along the tool-substrate frictional interfaces, generating a bending action on the needle in addition to combined normal and shear loading in the region where fracture takes place during penetration. The fracture process is described by a cohesive zone model, and the direction of crack propagation is determined by the distribution of strain energy density in the tissue surrounding the tip. Simulation results of deep needle penetration for a programmable bevel-tip needle design, where steering can be controlled by changing the offset between interlocked needle segments, are mainly discussed in terms of penetration force versus displacement along with a detailed description of the needle tip trajectories. It is shown that such results are strongly dependent on the relative stiffness of needle and tissue and on the tip offset. The simulated relationship between programmable bevel offset and needle curvature is found to be approximately linear, confirming empirical results derived experimentally in a previous work. The proposed model enables a detailed analysis of the tool-tissue interactions during needle penetration, providing a reliable means to optimise the design of surgical catheters and aid pre-operative planning.Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

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A Brief Review on Computational Modeling of Rupture in Soft Biological Tissues

Cited by 11 publications

References 60 publications

On the quasi-incompressible finite element analysis of anisotropic hyperelastic materials

On the quasi-incompressible finite element analysis of anisotropic hyperelastic materials

A Review on Damage and Rupture Modelling for Soft Tissues

An adaptive finite element model for steerable needles

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