Multi-scale mechanical characterization of scaffolds for heart valve tissue engineering

Argento, G Giulia; Simonet, Marc; Oomens, Cwj Cees; Baaijens, Fpt Frank

doi:10.1016/j.jbiomech.2012.07.037

Cited by 56 publications

(55 citation statements)

References 28 publications

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“…As described by Argento et al (2012), the coupling of the microscale to the macroscale follows averaging theorems proposed by Hill (1963Hill ( , 1984 and Nemat-Nasser (1999), and used by Kouznetsova et al (2001) in the development of a full multi-scale framework. The sum of the resulting external forces at the boundary nodes is averaged over the initial RAE volume to evaluate the macroscopic first PiolaKirchhoff tensor and the Cauchy stress tensor.…”

Section: Finite Element Modelmentioning

confidence: 99%

See 1 more Smart Citation

Modeling the impact of scaffold architecture and mechanical loading on collagen turnover in engineered cardiovascular tissues

Argento

Jonge

Söntjens

et al. 2014

Biomech Model Mechanobiol

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Section: Finite Element Modelmentioning

confidence: 99%

“…The discrete representation of the electrospun fibrous network was generated with the method previously developed by Argento et al (2012). First, given the diameter of the scaffold fibers, a MATLAB (The Math-Works, Natick, MA, USA) algorithm evaluates from the fiber volume fraction the number of scaffold fibers in each direction.…”

Section: Finite Element Modelmentioning

confidence: 99%

Modeling the impact of scaffold architecture and mechanical loading on collagen turnover in engineered cardiovascular tissues

Argento

Jonge

Söntjens

et al. 2014

Biomech Model Mechanobiol

Self Cite

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“…Lattice models in which springs and beams are used to represent individual fibre segments and yarn segments can be used to investigate fibrous materials. Examples are the lattice models of [1][2][3][4] for (electronic) textiles, those of [5][6][7][8] for paper materials, those of [9,10] for fibre glass materials and those of [11,12] for scaffolds for tissue engineering. The simplicity to incorporate fracture probably forms an important reason for the frequent use of lattice models, which has also led to their use for heterogeneous materials [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Higher‐order quasicontinuum methods for elastic and dissipative lattice models: uniaxial deformation and pure bending

et al. 2015

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The quasicontinuum (QC) method is a numerical strategy to reduce the computational cost of direct lattice computations -in this study we achieve a speed up of a factor of 40. It has successfully been applied to (conservative) atomistic lattices in the past, but using a virtualpower statement it was recently shown that QC approaches can also be used for spring and beam lattice models that include dissipation. Recent results have shown that QC approaches for planar beam lattices experiencing in-plane and out-of-plane deformation require higherorder interpolation. Higher-order QC frameworks are scarce nevertheless. In this contribution, the possibilities of a second-order and third-order QC framework are investigated for an elastoplastic spring lattice. The higher-order QC frameworks are compared to the results of the direct lattice computations and to those of a linear QC scheme. Examples are chosen so that both a macroscale and a microscale quantity influences the results. The two multiscale examples focused on are (i) macroscopically prescribed uniaxial deformation and (ii) macroscopically prescribed pure bending. Furthermore, the examples include an individual inclusion in a large lattice and hence, are concurrent in nature.

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“…1) are often used to numerically predict the mechanical behavior of materials with a discrete microstructure (Ostoja-Starzewski, 2002;Fleck and Qiu, 2007;Ryvkin and Slepyan, 2010). They are often used to investigate the mechanics of atomistic crystals (Tadmor et al, 1996a,b;Miller et al, 1998;Shimokawa et al, 2004), fibrous materials, such as textiles (Ben Boubaker et al, 2007;Lomov et al, 2007;Beex et al, 2013a), paper (Heyden, 2000;Bronkhorst, 2003;Kulachenko and Uesaka, 2012;Persson and Isaksson, 2013;Wilbrink et al, 2013), collagen networks (Chandran and Barocas, 2006;Stylianopoulos and Barocas, 2007;Argento et al, 2012) and glass-fiber networks (Ridruejo et al, 2010(Ridruejo et al, , 2012, and heterogeneous materials, such as concrete (Ince et al, 2002;Karihaloo et al, 2003;Lilliu and Van Mier, 2007). Their extensive use might be explained by their simplicity and discrete nature.…”

Section: Introductionmentioning

confidence: 99%

Quasicontinuum-based multiscale approaches for plate-like beam lattices experiencing in-plane and out-of-plane deformation

Beex

Kerfriden

Rabczuk

et al. 2014

Computer Methods in Applied Mechanics and Engineering

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The quasicontinuum (QC) method is a multiscale approach that aims to reduce the computational cost of discrete lattice computations. The method incorporates smallscale local lattice phenomena (e.g. a single lattice defect) in macroscale simulations. Since the method works directly and only on the beam lattice, QC frameworks do not require the construction and calibration of an accompanying continuum model (e.g. a cosserat/micropolar description). Furthermore, no coupling procedures are required between the regions of interest in which the beam lattice is fully resolved and coarse domains in which the lattice is effectively homogenized. Hence, the method is relatively straightforward to implement and calibrate. In this contribution, four variants of the QC method are investigated for their use for planar beam lattices which can also experience out-of-plane deformation. The different frameworks are compared to the direct lattice computations for three truly multiscale test cases in which a single lattice defect is present in an otherwise perfectly regular beam lattice.

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Multi-scale mechanical characterization of scaffolds for heart valve tissue engineering

Cited by 56 publications

References 28 publications

Modeling the impact of scaffold architecture and mechanical loading on collagen turnover in engineered cardiovascular tissues

Modeling the impact of scaffold architecture and mechanical loading on collagen turnover in engineered cardiovascular tissues

Higher‐order quasicontinuum methods for elastic and dissipative lattice models: uniaxial deformation and pure bending

Quasicontinuum-based multiscale approaches for plate-like beam lattices experiencing in-plane and out-of-plane deformation

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