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Constitutive and computational approaches for soft materials with microstructure: multiscale and multiphysics models

le 7 novembre 2019
à 13h30

Michele Marino, Enseignant-chercheur à l’Institut für Kontinuumsmechanik, Leibniz Universität Hannover, Allemagne (Secteur Structures et Systèmes)

Michele MARINO

Michele MARINO

Résumé :

The mechanics of crimped fibrous structures affects the behavior of  ,flexible composite and textile materials for advanced engineering  ,applications. A suitable arrangement of crimped fibers (or yarn in  ,textiles) enables to obtain a non-linear macroscopic mechanical  ,response of fiber-reinforced structural elements. Large deformations  ,can be sustained, still providing high-load carrying capacity. For  ,instance, this strategy is followed by Nature in a number of soft  ,biological tissues, such as tendons and arteries [1].
In this lecture, the mechanical response of micro-structured flexible  ,composites with crimped fibers is modeled by developing a novel  ,micro-macro theoretical formulation based on a quasi-analytical  ,strategy [2]. The analytical core is represented by ordinary  ,differential equations derived from the Principle of Virtual Works  ,applied to curvilinear Euler-Bernoulli beams. The micro-macro  ,theoretical model is implemented within a finite-element formulation,  ,where the analytical core represents a locally coupled problem at each  ,integration point [3]. Thus, a low computational cost is obtained,  ,together with the explicit dependency of the macroscale response on  ,microstructural properties.
Model validation and effectiveness are shown with reference to  ,biomechanical applications [2,4]. In addition, the low computational  ,cost of the multiscale formulation allows its coupling with modelling  ,frameworks of the multiphysics processes occurring in biomechanical  ,environments. Two generalizations are presented: fluid-structure  ,interaction problems for cardiovascular pathologies [5];  ,chemically-induced growth and remodeling of arterial tissues as a  ,reaction to structural damage associated with plastic mechanisms  ,[6,7]. In this framework, future activities of the research group will  ,be related to analyze specific clinical cases, as well as novel  ,drug-design strategies for tissue healing. To this aim,  ,chemo-mechano-biological models will be developed also for optimizing  ,bioprinting strategies for tissue engineering applications.,

[1] M. Marino: Constitutive Modeling of Soft Tissues, In: R. Narayan  ,(Ed.), Encyclopedia of Biomedical Engineering - Section: Biomechanics,  ,pp. 81-110, Elsevier (2019).
[2] M. Marino, P. Wriggers: Finite strain response of crimped fibers  ,under uniaxial traction: an analytical approach applied to collagen,  ,J. Mech. Phys. Solids, vol. 98, pp. 429-53 (2017).
[3] M. Marino, P. Wriggers: Micro-macro constitutive modeling and  ,finite element analytical-based formulations for fibrous materials: A  ,multiscale structural approach for crimped fibers, Comput. Meth.  ,Appl. Mech. Eng., vol. 344, pp. 938-69 (2019).
[4] D. Bianchi, M. Marino, G. Vairo: An integrated computational  ,approach for aortic mechanics including geometric, histological and  ,chemico-physical data, J. Biomech., vol. 49, pp. 2331-40 (2016).
[5] D. Bianchi, E. Monaldo, A. Gizzi, M. Marino, S. Filippi, G. Vairo:  ,A FSI computational framework for vascular physiopathology: A novel  ,flow-tissue multiscale strategy, Med. Eng. Phys., vol. 47, pp. 25-37  ,(2017).
[6] M. Marino, M.I. Converse, K.L. Monson, P. Wriggers:  ,Molecular-level collagen damage explains softening and failure of  ,arterial tissues: A quantitative interpretation of CHP data with a  ,novel elasto-damage model, J. Mech. Behav. Biomed. Mat., vol. 97, pp.  ,254-71 (2019).
[7] M. Marino, G. Pontrelli, G. Vairo, P. Wriggers: A  ,chemo-mechano-biological formulation for the effects of biochemical  ,alterations on arterial mechanics: the role of molecular transport and  ,multiscale tissue remodelling, J. Royal Soc. Interface 14, pp. 0615  ,(2017).

Seminar in the framework of the French-German doctoral college SNTA
Type :
Séminaires - conférences
Lieu(x) :
Campus de Cachan
ENS Paris-Saclay - Bâtiment Léonard de Vinci - Amphithéâtre E-Media

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