Low-order non-classical continuum models for the improved prediction of an anisotropic membrane lattice’s dynamics

[1]  F. Gómez-Silva,et al.  Novel Enriched Kinetic Energy continuum model for the enhanced prediction of a 1D lattice with next-nearest interactions , 2021, Composite Structures.

[2]  F. Gómez-Silva,et al.  Dynamic analysis and non-standard continualization of a Timoshenko beam lattice , 2021, International Journal of Mechanical Sciences.

[3]  F. Gómez-Silva,et al.  Low order nonstandard continualization of a beam lattice with next-nearest interactions: Enhanced prediction of the dynamic behavior , 2021, Mechanics of Advanced Materials and Structures.

[4]  Cancan Liu,et al.  Dispersion characteristics of guided waves in functionally graded anisotropic micro/nano-plates based on the modified couple stress theory , 2021 .

[5]  M. A. Eltaher,et al.  Dynamics of perforated nanobeams subject to moving mass using the nonlocal strain gradient theory , 2021 .

[6]  G. Zhu,et al.  Facile Fabrication of Flexible Pressure Sensor with Programmable Lattice Structure. , 2021, ACS applied materials & interfaces.

[7]  F. Gómez-Silva,et al.  Analysis of low order non-standard continualization methods for enhanced prediction of the dispersive behaviour of a beam lattice , 2021 .

[8]  B. Akgöz,et al.  Vibration analysis of carbon nanotube‐reinforced composite microbeams , 2021 .

[9]  H. Hwang,et al.  Strain Gradient Elasticity in SrTiO3 Membranes: Bending versus Stretching. , 2020, Nano letters.

[10]  A. Bacigalupo,et al.  Identification of non-local continua for lattice-like materials , 2020, International Journal of Engineering Science.

[11]  Heng Li,et al.  Coupling effects of surface energy, strain gradient, and inertia gradient on the vibration behavior of small-scale beams , 2020 .

[12]  J. Fernández-Sáez,et al.  Nonstandard continualization of 1D lattice with next-nearest interactions. Low order ODEs and enhanced prediction of the dispersive behavior , 2020, Mechanics of Advanced Materials and Structures.

[13]  Cheng Li,et al.  Stability of Vibrating Functionally Graded Nanoplates with Axial Motion Based on the Nonlocal Strain Gradient Theory , 2020 .

[14]  S. Li,et al.  A variational approach for free vibrating micro-rods with classical and non-classical new boundary conditions accounting for nonlocal strengthening and temperature effects , 2020 .

[15]  J. Fernández-Sáez,et al.  Non-standard and constitutive boundary conditions in nonlocal strain gradient elasticity , 2020, Meccanica.

[16]  M. Wheel,et al.  Size effect anomalies in the behaviour of loaded 3D mechanical metamaterials , 2019, Philosophical Magazine.

[17]  R. Luciano,et al.  Longitudinal vibrations of nano-rods by stress-driven integral elasticity , 2019 .

[18]  H. Mohammadi,et al.  Geometrically nonlinear vibration analysis of sandwich nanoplates based on higher-order nonlocal strain gradient theory , 2019, International Journal of Mechanical Sciences.

[19]  J. Fernández-Sáez,et al.  On the consistency of the nonlocal strain gradient elasticity , 2019, International Journal of Engineering Science.

[20]  Xin Yang,et al.  On the nano-structural dependence of nonlocal dynamics and its relationship to the upper limit of nonlocal scale parameter , 2019, Applied Mathematical Modelling.

[21]  H. Safarpour,et al.  Wave propagation characteristics of the electrically GNP-reinforced nanocomposite cylindrical shell , 2019, Journal of the Brazilian Society of Mechanical Sciences and Engineering.

[22]  Chenfeng Li,et al.  A simple unsymmetric 4‐node 12‐DOF membrane element for the modified couple stress theory , 2019, International Journal for Numerical Methods in Engineering.

[23]  A. Bacigalupo,et al.  Generalized micropolar continualization of 1D beam lattices , 2018, International Journal of Mechanical Sciences.

[24]  Massimo Ruzzene,et al.  Propagation of solitons in a two-dimensional nonlinear square lattice , 2018, International Journal of Non-Linear Mechanics.

[25]  C. Wang,et al.  Static and Dynamic Behaviors of Microstructured Membranes within Nonlocal Mechanics , 2018 .

[26]  Fred Nitzsche,et al.  Dynamics, vibration and control of rotating composite beams and blades: A critical review , 2017 .

[27]  John Paul Shen,et al.  A semi-continuum-based bending analysis for extreme-thin micro/nano-beams and new proposal for nonlocal differential constitution , 2017 .

[28]  E. Benvenutti,et al.  Pore size effect in the amount of immobilized enzyme for manufacturing carbon ceramic biosensor , 2017 .

[29]  I. Elishakoff,et al.  Comparison of nonlocal continualization schemes for lattice beams and plates , 2017 .

[30]  Duc Minh Nguyen,et al.  Acoustic wave science realized by metamaterials , 2017, Nano Convergence.

[31]  H. Zeighampour,et al.  The modified couple stress functionally graded cylindrical thin shell formulation , 2016 .

[32]  Zhongkui Zhu,et al.  Nonlocal theoretical approaches and atomistic simulations for longitudinal free vibration of nanorods/nanotubes and verification of different nonlocal models , 2015 .

[33]  Linquan Yao,et al.  Comments on nonlocal effects in nano-cantilever beams , 2015 .

[34]  Cheng Li A nonlocal analytical approach for torsion of cylindrical nanostructures and the existence of higher-order stress and geometric boundaries , 2014 .

[35]  C. Wang,et al.  On nonconservativeness of Eringen’s nonlocal elasticity in beam mechanics: correction from a discrete-based approach , 2014, Archive of Applied Mechanics.

[36]  Noël Challamel,et al.  Eringen's small length scale coefficient for buckling of nonlocal Timoshenko beam based on microstructured beam model , 2013 .

[37]  C. Wang,et al.  Development of analytical vibration solutions for microstructured beam model to calibrate length scale coefficient in nonlocal Timoshenko beams , 2013 .

[38]  Noël Challamel,et al.  Calibration of Eringen's small length scale coefficient for initially stressed vibrating nonlocal Euler beams based on microstructured beam model , 2013 .

[39]  S. P. Filopoulos,et al.  On the capability of generalized continuum theories to capture dispersion characteristics at the atomic scale , 2012 .

[40]  Dimitrios I. Fotiadis,et al.  Derivation of Mindlin’s first and second strain gradient elastic theory via simple lattice and continuum models , 2012 .

[41]  Harold S. Park,et al.  Nanomechanical resonators and their applications in biological/chemical detection: Nanomechanics pri , 2011, 1105.1785.

[42]  Harm Askes,et al.  Elastic wave dispersion in microstructured membranes , 2010, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[43]  J. Awrejcewicz,et al.  Improved Continuous Models for Discrete Media , 2010 .

[44]  J. Awrejcewicz,et al.  Continuous models for 2D discrete media valid for higher-frequency domain , 2008 .

[45]  Murali Krishna Ghatkesar,et al.  Micromechanical mass sensors for biomolecular detection in a physiological environment. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[46]  Andrei V. Metrikine,et al.  One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure: Part 1: Generic formulation , 2002 .

[47]  Michael R Wisnom,et al.  Size effects in the testing of fibre-composite materials , 1999 .

[48]  C. R. Martin,et al.  Membrane-Based Synthesis of Nanomaterials , 1996 .

[49]  A. Eringen,et al.  On nonlocal elasticity , 1972 .

[50]  J. Krumhansl,et al.  Some Considerations of the Relation between Solid State Physics and Generalized Continuum Mechanics , 1968 .

[51]  A. Eringen,et al.  LINEAR THEORY OF MICROPOLAR ELASTICITY , 1965 .

[52]  J. Krumhansl GENERALIZED CONTINUUM FIELD REPRESENTATIONS FOR LATTICE VIBRATIONS , 1963 .