Lateral response of a layered material with interlayer friction

References

• Larson, R. G. The Structure and Rheology of Complex Fluids; New York: Oxford University Press, 1999.
   Google Scholar
• Witten, T. A., and Pincus, P. Structured Fluids: Polymers, Colloids, Surfactants; New York: Oxford University Press, 2010.
   Google Scholar
• de Gennes, P. G. Dynamics of Entangled Polymer Solutions. I. The Rouse Model. Macromolecules. 1976, 9, 587. DOI: 10.1021/ma60052a011.
   Web of Science ®Google Scholar
• de Gennes, P. G. Dynamics of Entangled Polymer Solutions. II. Inclusion of Hydrodynamic Interactions. Macromolecules. 1976, 9, 594. DOI: 10.1021/ma60052a012.
   Web of Science ®Google Scholar
• Colby, R. H.; Ober, C. K.; Gillmor, J. R.; Connelly, R. W.; Duong, T.; Galfi, G.; Laus, M. Rheol. Acta. 1997, 36, 498.
   Google Scholar
• Lu, C.-Y. D.; Chen, P.; Ishii, Y.; Komura, S.; Kato, T. Non-linear Rheology of Lamellar Liquid Crystals. Eur. Phys. J. E. 2008, 25, 91. DOI: 10.1140/epje/i2007-10267-3.
   PubMed Web of Science ®Google Scholar
• Fujii, S.; Ishii, Y.; Komura, S.; Lu, C.-Y. D. Smectic Rheology Close to the smectic-nematic Transition. EPL. 2010, 90, 64001. DOI: 10.1209/0295-5075/90/64001.
   Web of Science ®Google Scholar
• Fujii, S.; Komura, S.; Ishii, Y.; Lu, C.-Y. D. Elasticity of Smectic Liquid Crystals with Focal Conic Domains. J. Phys. Condens. Matter. 2011, 23, 235105. DOI: 10.1088/0953-8984/23/23/235105.
   PubMed Web of Science ®Google Scholar
• Fujii, S.; Komura, S.; Lu, C.-Y. D. Structural Rheology of Focal Conic Domains: A stress-quench Experiment. Soft Matter. 2014, 10, 5289. DOI: 10.1039/c4sm00146j.
   PubMed Web of Science ®Google Scholar
• Fujii, S.; Komura, S.; Lu, C.-Y. D. Structural Rheology of the Smectic Phase. Materials. 2014, 7, 5146. DOI: 10.3390/ma7075146.
   PubMed Web of Science ®Google Scholar
• Fredrickson, G. H.; Bates, F. S. Dynamics of Block Copolymers: Theory and Experiment. Rev. Mater. Sci. 1996, 26, 501. DOI: 10.1146/annurev.ms.26.080196.002441.
   Web of Science ®Google Scholar
• Bates, F. S.; Rosedale, J. H.; Fredrickson, G. H. Fluctuation Effects in a Symmetric Diblock Copolymer near the order–disorder Transition. J. Chem. Phys. 1990, 92, 6255. DOI: 10.1063/1.458350.
   Web of Science ®Google Scholar
• Rosedale, J. H.; Bates, F. S. Rheology of Ordered and Disordered Symmetric Poly(ethylenepropylene)-poly(ethylethylene) Diblock Copolymers. Macromolecules. 1990, 23, 2329. DOI: 10.1021/ma00210a032.
   Web of Science ®Google Scholar
• Bates, F. S. Block Copolymers near the Microphase Separation Transition. 2. Linear Dynamic Mechanical Properties. Macromolecules. 1984, 17, 2607. DOI: 10.1021/ma00142a025.
   Web of Science ®Google Scholar
• Kawasaki, K.; Onuki, A. Dynamics and Rheology of Diblock Copolymers Quenched into microphase-separated States. Phys. Rev. A. 1990, 42, 3664. DOI: 10.1103/PhysRevA.42.3664.
   PubMed Web of Science ®Google Scholar
• Alberts, B.; Johnson, A.; Lewis, J.; Raff, M.; Roberts, K., and Walter, P. Molecular Biology of the Cell; Garland Science, New York, 2008.
   Google Scholar
• Kolahchi, R.; Kolahdouzan, F. A Numerical Method for magneto-hygro-thermal Dynamic Stability Analysis of Defective Quadrilateral Graphene Sheets Using Higher Order Nonlocal Strain Gradient Theory with Different Movable Boundary Conditions. Appl. Math. Model. 2021, 91, 458. DOI: 10.1016/j.apm.2020.09.060.
   Web of Science ®Google Scholar
• Mehrez, S.; Karati, S. A.; DolatAbadi, P. T.; Shah, S. N. R.; Azam, S.; Khorami, M., and Assilzadeh, H. Nonlocal dynamic modeling of mass sensors consisting of graphene sheets based on strain gradient theory. Adv. Nano Res. 2020, 9, 221.
   Web of Science ®Google Scholar
• Xu, P.-C.; Mal, A. K. Calculation of the Inplane Green’s Functions for a Layered Viscoelastic Solid. Bull. Seismol. Soc. Am. 1987, 77, 1823. DOI: 10.1785/BSSA0770051823.
   Web of Science ®Google Scholar
• Nallet, F.; Roux, D.; Prost, J. Hydrodynamics of Lyotropic Smectics: A Dynamic Light Scattering Study of Dilute Lamellar Phases. J. Phys. (France). 1989, 50, 3147. DOI: 10.1051/jphys:0198900500200314700.
   Google Scholar
• Nallet, F.; Roux, D.; Quilliet, C.; Fabre, P., and Milner, S. Elasticity and hydrodynamic properties of “doped solvent dilute” lamellar phases. J. Phys. II (France). 1994 , 4, 1477.
   Google Scholar
• Ramaswamy, S.; Prost, J.; Cai, W.; Lubensky, T. C. Dynamics of Lyotropic Lamellar Phases. Europhys. Lett. 1993, 23, 271. DOI: 10.1209/0295-5075/23/4/006.
   Google Scholar
• Roux, D.; Nallet, F.; Diat, O. Rheology of Lyotropic Lamellar Phases. Europhys. Lett. 1993, 24(53). DOI: 10.1209/0295-5075/24/1/009.
   Google Scholar
• Panizza, P.; Roux, D.; Vuillaume, V.; Lu, C.-Y. D.; Cates, M. E. Viscoelasticity of the Onion Phase. Langmuir. 1996, 12, 248. DOI: 10.1021/la9504016.
   Web of Science ®Google Scholar
• Bonn, D.; Meunier, J.; Greffier, O.; Al-Kahwaji, A.; Kellay, H. Bistability in non-Newtonian Flow: Rheology of Lyotropic Liquid Crystals. Phys. Rev. E. 1998, 58, 2115. DOI: 10.1103/PhysRevE.58.2115.
   Web of Science ®Google Scholar
• Zilman, A. G.; Granek, R. Undulation Instability of Lamellar Phases under Shear: A Mechanism for Onion Formation? Eur. Phys. J. B. 1999, 11, 593. DOI: 10.1007/s100510051187.
   Web of Science ®Google Scholar
• Marlow, S. W.; Olmsted, P. D. Eur. Phys. J. E. 2002, 8, 485.
   Google Scholar
• Landau, L. D., and Lifshitz, E. M. Theory of Elasticity; New York: Pergamon Press, 1986.
   Google Scholar
• Nelson, D. R., and Peliti, L. Fluctuations in membranes with crystalline and hexatic order. J. Phys. Paris. 1987 , 48, 1085.
   Google Scholar
• Doussal, P. L.; Radzihovsky, L. Anomalous Elasticity, Fluctuations and Disorder in Elastic Membranes. Ann. Phys. 2018, 392, 340. DOI: 10.1016/j.aop.2017.08.033.
   Web of Science ®Google Scholar
• Seifert, U., and Langer, S. Viscous Modes of Fluid Bilayer Membranes. Europhys. Lett. 1993 , 23(71).
   Google Scholar
• Okamoto, R.; Kanemori, Y.; Komura, S.; Fournier, J.-B. Relaxation Dynamics of two-component Fluid Bilayer Membranes. Eur. Phys. J. E. 2016, 39(52). DOI: 10.1140/epje/i2016-16052-3.
   PubMedGoogle Scholar
• Okamoto, R.; Komura, S.; Fournier, J.-B. Dynamics of a Bilayer Membrane Coupled to a two-dimensional Cytoskeleton: Scale Transfers of Membrane Deformations. Phys. Rev. E. 2017, 96, 012416. DOI: 10.1103/PhysRevE.96.012416.
   PubMed Web of Science ®Google Scholar
• Yasuda, K.; Okamoto, R.; Komura, S.; Fournier, J.-B. Dynamics of a Bilayer Membrane with membrane-solvent Partial Slip Boundary Conditions. Soft Mater. 2018, 16, 186. DOI: 10.1080/1539445X.2018.1462830.
   Web of Science ®Google Scholar
• Frey, E., and Nelson, D. R. Dynamics of flat membranes and flickering in red blood cellsJ. Phys. I (France). 1991 , 1, 1715.
   Google Scholar
• de Gennes, P. G., and Prost, J. The Physics of Liquid Crystals; New York: Oxford University Press, 1993.
   Google Scholar
• Leibler, S.; Maggs, A. Entropic Interactions between Polymerized Membranes. Phys. Rev. Lett. 1989, 63, 406. DOI: 10.1103/PhysRevLett.63.406.
   PubMed Web of Science ®Google Scholar
• Lu, C.-Y. D.; Komura, S.; Seki, K. Viscoelasticity of two-layer Vesicles in Solution. Phys. Rev. E. 2012, 86, 061401. DOI: 10.1103/PhysRevE.86.061401.
   Web of Science ®Google Scholar
• Landau, L. D., and Lifshitz, E. M. Fluid Mechanics; New York: Pergamon Press, 1959.
   Google Scholar
• Safran, S. A. Statistical Thermodynamics of Surfaces, Interfaces, and Membranes; Massachusetts: Addison-Wesley, 1994.
   Google Scholar