Nonlinear continuum models for the dynamic behavior of 1D microstructured solids
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[1] J. Rimoli,et al. Mechanical response of 3-dimensional tensegrity lattices , 2017 .
[2] I. Andrianov,et al. Nonlinear vibrations and mode interactions for a continuous rod with microstructure , 2015 .
[3] Raj Kumar Pal,et al. Wave propagation in elasto-plastic granular systems , 2013 .
[4] Raffaele Barretta,et al. Constitutive boundary conditions and paradoxes in nonlocal elastic nanobeams , 2017 .
[5] H. F. Tiersten,et al. Effects of couple-stresses in linear elasticity , 1962 .
[6] 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.
[7] A. C. Eringen,et al. Nonlocal polar elastic continua , 1972 .
[8] M. B. Rubin,et al. Continuum model of dispersion caused by an inherent material characteristic length , 1995 .
[9] J. Fish,et al. A Dispersive Model for Wave Propagation in Periodic Heterogeneous Media Based on Homogenization With Multiple Spatial and Temporal Scales , 2001 .
[10] R. D. Mindlin,et al. On first strain-gradient theories in linear elasticity , 1968 .
[11] B. Bourlon,et al. Carbon Nanotube Based Bearing for Rotational Motions , 2004 .
[12] Fusao Oka,et al. Dispersion and wave propagation in discrete and continuous models for granular materials , 1996 .
[13] R. Toupin,et al. Theories of elasticity with couple-stress , 1964 .
[14] M. Şi̇mşek. Size dependent nonlinear free vibration of an axially functionally graded (AFG) microbeam using He’s variational method , 2015 .
[15] M. Hussein,et al. Wave dispersion under finite deformation , 2012, 1210.6607.
[16] A. Eringen,et al. On nonlocal elasticity , 1972 .
[17] A. Globus,et al. Molecular dynamics simulations of carbon nanotube-based gears , 1997 .
[18] A. Eringen. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves , 1983 .
[19] A. Cemal Eringen,et al. Linear theory of nonlocal elasticity and dispersion of plane waves , 1972 .
[20] C. Wang,et al. Beam Bending Solutions Based on Nonlocal Timoshenko Beam Theory , 2008 .
[21] E. Aifantis,et al. Gradient elasticity in statics and dynamics: An overview of formulations, length scale identification procedures, finite element implementations and new results , 2011 .
[22] I. Kunin. The Theory of Elastic Media with Microstructure and the Theory of Dislocations , 1968 .
[23] V. S. Saji,et al. Nanotechnology in biomedical applications: a review , 2010 .
[24] Ramin Vatankhah,et al. A geometrically nonlinear beam model based on the second strain gradient theory , 2015 .
[25] C. Wang,et al. Analytical length scale calibration of nonlocal continuum from a microstructured buckling model , 2014 .
[26] Zhifang Liu,et al. Nonlinear waves and periodic solution in finite deformation elastic rod , 2006 .
[27] Andrei V. Metrikine,et al. One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure: Part 1: Generic formulation , 2002 .
[28] Changping Chen,et al. A control approach for vibrations of a nonlinear microbeam system in multi-dimensional form , 2014 .
[29] J. Krumhansl,et al. Some Considerations of the Relation between Solid State Physics and Generalized Continuum Mechanics , 1968 .
[30] M. Aydogdu. LONGITUDINAL WAVE PROPAGATION IN NANORODS USING A GENERAL NONLOCAL UNIMODAL ROD THEORY AND CALIBRATION OF NONLOCAL PARAMETER WITH LATTICE DYNAMICS , 2012 .
[31] John Peddieson,et al. Application of nonlocal continuum models to nanotechnology , 2003 .
[32] K. M. Liew,et al. Application of nonlocal continuum mechanics to static analysis of micro- and nano-structures , 2007 .
[33] C. Wang,et al. The small length scale effect for a non-local cantilever beam: a paradox solved , 2008, Nanotechnology.
[34] E. Kröner,et al. On the physical reality of torque stresses in continuum mechanics , 1963 .
[35] R. D. Mindlin. Micro-structure in linear elasticity , 1964 .
[36] Jacob Fish,et al. Non‐local dispersive model for wave propagation in heterogeneous media: one‐dimensional case , 2002 .
[37] E. Kröner,et al. Elasticity theory of materials with long range cohesive forces , 1967 .
[38] Noël Challamel,et al. Discrete systems behave as nonlocal structural elements: Bending, buckling and vibration analysis , 2014 .
[39] R. S. Rivlin,et al. Multipolar continuum mechanics , 1964 .
[40] M. Ruzzene,et al. A continuum model for nonlinear lattices under large deformations , 2016 .
[41] K. Eric Drexler,et al. Nanosystems - molecular machinery, manufacturing, and computation , 1992 .
[42] Philip Rosenau,et al. Dynamics of nonlinear mass-spring chains near the continuum limit , 1986 .
[43] R. Toupin. Elastic materials with couple-stresses , 1962 .
[44] Philip Rosenau,et al. Hamiltonian dynamics of dense chains and lattices: or how to correct the continuum , 2003 .
[45] A. M. Fennimore,et al. Rotational actuators based on carbon nanotubes , 2003, Nature.
[46] Claudia Felser,et al. Half-metallic ferromagnetism with high magnetic moment and high Curie temperature in Co2FeSi , 2006 .
[47] C. Sun,et al. Modeling micro-inertia in heterogeneous materials under dynamic loading , 2002 .
[48] C. R. Martin,et al. Membrane-Based Synthesis of Nanomaterials , 1996 .
[49] P. Rosenau,et al. Dynamics of dense lattices. , 1987, Physical review. B, Condensed matter.
[50] Norman J. Zabusky,et al. Stroboscopic‐Perturbation Procedure for Treating a Class of Nonlinear Wave Equations , 1964 .
[51] P. Geubelle,et al. Characterization of wave propagation in elastic and elastoplastic granular chains. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.
[52] R. D. Mindlin. Second gradient of strain and surface-tension in linear elasticity , 1965 .
[53] H. P. Lee,et al. Dynamic properties of flexural beams using a nonlocal elasticity model , 2006 .
[54] Ching S. Chang,et al. Micro-mechanical modelling of granular material. Part 1: Derivation of a second-gradient micro-polar constitutive theory , 2001 .
[55] J. N. Reddy,et al. Bending of Euler–Bernoulli beams using Eringen’s integral formulation: A paradox resolved , 2016 .
[56] Nicolas Triantafyllidis,et al. On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models , 1993 .
[57] Benni Reznik,et al. BCS-like modewise entanglement of fermion Gaussian states , 2004 .
[58] A. Gholipour,et al. In-plane and out-of-plane nonlinear size-dependent dynamics of microplates , 2015 .