Auxetic Metamaterials
A metamaterial is a material whose effective properties differ remarkably from that of their bulk material properties due to the deliberate design of their geometric structure. We’ve designed geometries leading to effective auxetic (i.e., negative Poisson’s ratio) behavior and investigated how such metameterials behave in vibration, fatigue, and impact.
M. Barillas Velasquez, L. Francesconi, and M. Taylor, Design of low-porosity auxetic tessellations with reduced mechanical stress concentrations, Extreme Mech. Lett., 48, 101401 (2021). Find it Here
L. Francesconi, A. Baldi, G. Dominguez, and M. Taylor, An investigation of the enhanced fatigue performance of low-porosity auxetic metamaterials, Exp. Mech., 60(1), 93-107 (2020). Find it Here
L. Francesconi, A. Baldi, X. Liang, F. Aymerich, and M. Taylor, Variable Poisson’s ratio materials for globally stable static and dynamic compression resistance, Extreme Mech. Lett., 26, 1-7 (2019). Find it Here
L. Francesconi, M. Taylor, K. Bertoldi, and A. Baldi, Static and modal analysis of low Porosity thin metallic auxetic structures using speckle interferometry and digital image correlation, Exp. Mech., 58(2), 283-300 (2018). Find it Here
M. Taylor, L. Francesconi, M. Gerendas, A. Shanian, C. Carson, and K. Bertoldi, Low porosity metallic periodic structures with negative Poisson’s ratio, Adv. Mater., 26, 15, 2365-2370 (2014). Find it Here
Thin Film Mechanics
The deformed configuration of thin films typically comprise tensile, slack, and wrinkled regions. Determining the properties of the wrinkles (e.g., location, wavelength, amplitude) numerically is challenging owing to the use of two-dimensional membrane or plate theories to model the films. Our research has been aimed at combining appropriate 2D theories with effective numerical simulation schemes to accurately model deformation in both isotropic and fiber-reinforced elastic sheets.
M. Taylor and M. Shirani, Simulation of wrinkling in incompressible anisotropic thin sheets with wavy fibers, Int. J. Non-Lin. Mech., 127, 103610 (2020). Find it Here
M. Taylor, M. Shirani, Y. Dabiri, J.M. Guccione, and D.J. Steigmann, Finite elastic wrinkling deformations of incompressible fiber-reinforced plates, Int. J. Eng. Sci., 144, 103138 (2019). Find it Here
M. Taylor, B. Davidovitch, Z. Qiu, and K. Bertoldi, A comparative analysis of numerical approaches to the mechanics of elastic sheets, J. Mech. Phys. Solids, 79, 92-107 (2015). Find it Here
Z. Qin, M. Taylor, M. Hwang, K. Bertoldi, and M.J. Buehler, Effect of Wrinkles on the Surface Area of Graphene: Toward the Design of Nanoelectronics, Nano Lett., 14(11), 6520-6525 (2014). Find it Here
M. Taylor, K. Bertoldi, and D.J. Steigmann, Spatial resolution of wrinkle patterns in thin elastic sheets at finite strain, J. Mech. Phys. Solids, 62, 163-180 (2014). Find it Here
M. Taylor and D.J. Steigmann, Simulation of laminated thermoelastic membranes, J. Thermal Stresses, 32, 448-476 (2009). Find it Here
M. Taylor and D.J. Steigmann, Entropic thermoelasticity of thin polymeric films, Acta Mechanica, 183, 1-22 (2006). Find it Here
Fluid & Cell Membrane Mechanics
We are interested in understanding the physical mechanisms underlying biological cell membrane rupture and developing predicitve computational tools to model this process. The factors that determine rupture morphology and dynamics are not yet exactly understood, and the detailed underlying physical mechanisms remain to be uncovered. We’ve proposed innovative numerical approaches to this problem such as a cellular automaton and peridynamics.
A. Gürbüz, O.S. Pak, M. Taylor, M.V. Sivaselvan, F. Sachs, Effects of membrane viscoelasticity on the red blood cell dynamics in a microcapillary, Biophys. J., 122, 1-12 (2023). Find it Here
Y. Chen, N. Lordi, M. Taylor, and O.S. Pak, Helical locomotion in a porous medium, Phys. Rev. E., 102, 043111 (2020). Find it Here
A. Gupta, I. Gözen, and M. Taylor, A cellular automaton for modeling non-trivial biomembrane ruptures, Soft Matter, 15, 4178-4186 (2019). Find it Here
M. Taylor, I. Gözen, S. Patel, A. Jesorka, and K. Bertoldi, Peridynamic modeling of rupture in biomembranes, PLoS ONE, 11(11):e0165947 (2016). Find it Here
Peridynamics
Peridynamics is a reformulation of standard continuum mechanics to incorporate long-range forces. It replaces the standard partial differential equations of motion with an integral equation. Thus, the theory is suitable for modeling the discontinuties inherent in crack growth and fracture. We’ve developed a 2D peridynamic plate theory as well as a GPU-paralellized peridynamics code and applied the latter to the modeling of lipid membrane rupture.
A.R. Aguiar, L.V. Rehm, D.J. Steigmann, and M. Taylor, A nonlinear state-based peridynamic plate theory, (submitted).
M. Taylor, I. Gözen, S. Patel, A. Jesorka, and K. Bertoldi, Peridynamic modeling of rupture in biomembranes, PLoS ONE, 11(11):e0165947 (2016). Find it Here
M. Taylor and D.J. Steigmann, A two-dimensional peridynamic model for thin plates, Math. Mech. Solids, 20(8), 998-1010 (2015). Find it Here
Acoustic Contrast in Vowels
We introduced a new numerical method to quantify the differences in so-called primary quantitiy and primary quality language classifications. The approach, called the Vowel Overlap Assessment with Convex Hulls (VOACH) method, improves upon an earlier metric through the use of best-fit convex shapes. It is particularly suited to analyzing endangered languages, an area of growing interest to linguists. The VOACH method reduces the incorporation of “empty" data into calculations of vowel space. We applied this method to Numu (Oregon Northern Paiute), an endangered language of the western United States.
E.F. Haynes and M. Taylor, An assessment of acoustic contrast between long and short vowels using convex hulls, J. Acoust. Soc. Am., 136, 2, 883-891 (2014). Find it Here