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A generalized shear-lag theory for fibres with variable radius is developed to analyse elastic fibre/matrix stress transfer. The theory accounts for the reinforcement of biological composites, such as soft tissue and bone tissue, as well as for the reinforcement of technical composite materials, such as fibre-reinforced polymers (FRP). The original shear-lag theory proposed by Cox in 1952 is generalized for fibres with variable radius and with symmetric and asymmetric ends. Analytical solutions are derived for the distribution of axial and interfacial shear stress in cylindrical and elliptical fibres, as well as conical and paraboloidal fibres with asymmetric ends. Additionally, the distribution of axial and interfacial shear stress for conical and paraboloidal fibres with symmetric ends are numerically predicted. The results are compared with solutions from axisymmetric finite element models. A parameter study is performed, to investigate the suitability of alternative fibre geometries for use in FRP.
Gossmann, Matthias ; Thomas, Ulrich ; Horváth, András ; Dragicevic, Elena ; Stoelzle-Feix, Sonja ; Jung, Alexander ; Raman, Aravind Hariharan ; Staat, Manfred ; Linder, Peter
Konstantinidis, Konstantinos ; Flores Martinez, Claudio ; Dachwald, Bernd ; Ohndorf, Andreas ; Dykta, Paul ; Bowitz, Pascal ; Rudolph, Martin ; Digel, Ilya ; Kowalski, Julia ; Voigt, Konstantin ; Förstner, Roger
Leschinger, Tim ; Birgel, Stefan ; Hackl, Michael ; Staat, Manfred ; Müller, Lars Peter ; Wegmann, Kilian
Purpose
Two semi-empirical models were recently published, both making use of existing literature data, but each taking into account different physical phenomena that trigger hemolysis. In the first model, hemoglobin (Hb) release is described as a permeation procedure across the membrane, assuming a shear stress-dependent process (sublethal model). The second model only accounts for hemoglobin release that is caused by cell membrane breakdown, which occurs when red blood cells (RBC) undergo mechanically induced shearing for a period longer than the threshold time (nonuniform threshold model). In this paper, we introduce a model that considers the hemolysis generated by both these possible phenomena.
Methods
Since hemolysis can possibly be caused by permeation of hemoglobin through the RBC functional membrane as well as by release of hemoglobin from RBC membrane breakdown, our proposed model combines both these models. An experimental setup consisting of a Couette device was utilized for validation of our proposed model.
Results
A comparison is presented between the damage index (DI) predicted by the proposed model vs. the sublethal model vs. the nonthreshold model and experimental datasets. This comparison covers a wide range of shear stress for both human and porcine blood. An appropriate agreement between the measured DI and the DI predicted by the present model was obtained.
Conclusions
The semiempirical hemolysis model introduced in this paper aims for significantly enhanced conformity with experimental data. Two phenomenological outcomes become possible with the proposed approach: an estimation of the average time after which cell membrane breakdown occurs under the applied conditions, and a prediction of the ratio between the phenomena involved in hemolysis.
A new in vitro tool to investigate cardiac contractility under physiological mechanical conditions
(2019)
Linder, Peter ; Beckler, Matthias ; Doerr, Leo ; Stoelzle-Feix, Sonja ; Fertig, Niels ; Jung, Alexander ; Staat, Manfred ; Gossmann, Matthias
Grottke, O. ; Braunschweig, T. ; Philippen, B. ; Gatzweiler, Karl-Heinz ; Gronloh, N. ; Staat, Manfred ; Rossaint, R. ; Tolba, R.
Uysal, Karya ; Firat, Ipek Serat ; Creutz, Till ; Aydin, Inci Cansu ; Artmann, Gerhard ; Teusch, Nicole ; Temiz Artmann, Aysegül
Advances in polymer science have significantly increased polymer applications in life sciences. We report the use of free-standing, ultra-thin polydimethylsiloxane (PDMS) membranes, called CellDrum, as cell culture substrates for an in vitro wound model. Dermal fibroblast monolayers from 28- and 88-year-old donors were cultured on CellDrums. By using stainless steel balls, circular cell-free areas were created in the cell layer (wounding). Sinusoidal strain of 1 Hz, 5% strain, was applied to membranes for 30 min in 4 sessions. The gap circumference and closure rate of un-stretched samples (controls) and stretched samples were monitored over 4 days to investigate the effects of donor age and mechanical strain on wound closure. A significant decrease in gap circumference and an increase in gap closure rate were observed in trained samples from younger donors and control samples from older donors. In contrast, a significant decrease in gap closure rate and an increase in wound circumference were observed in the trained samples from older donors. Through these results, we propose the model of a cell monolayer on stretchable CellDrums as a practical tool for wound healing research. The combination of biomechanical cell loading in conjunction with analyses such as gene/protein expression seems promising beyond the scope published here.
Yang, Peng-Fei ; Kriechbaumer, Andreas ; Albracht, Kirsten ; Sanno, Maximilian ; Ganse, Bergita ; Koy, Timmo ; Shang, Peng ; brüggemann, Gert-Peter ; Müller, Lars Peter ; Rittweger, Jörn
Behbahani, Mehdi ; Behr, M. ; Hormes, M. ; Steinseifer, U. ; Arora, D. ; Coronado, O. ; Pasquali, M.
An optimization method is developed to describe the mechanical behaviour of the human cancellous bone. The method is based on a mixture theory. A careful observation of the behaviour of the bone material leads to the hypothesis that the bone density is controlled by the principal stress trajectories (Wolff’s law). The basic idea of the developed method is the coupling of a scalar value via an eigenvalue problem to the principal stress trajectories. On the one hand this theory will permit a prediction of the reaction of the biological bone structure after the implantation of a prosthesis, on the other hand it may be useful in engineering optimization problems. An analytical example shows its efficiency.