On an elastic dissipation model as continuous approximation for discrete media, Math. Probl. Eng, vol.27373, pp.1-8, 2006. ,
Improved continuous models for discrete media, Math. Probl. Eng, vol.986242, pp.1-35, 2010. ,
Numerical investigation of 1D continuum dynamical models of discrete chain, Z. Angew. Math. Mech, vol.92, pp.945-954, 2012. ,
Nano and viscoelastic Beck's column on elastic foundation, Acta Mech, vol.226, issue.7, pp.2335-2345, 2015. ,
On the general theory of chaotic dynamics of flexible curvilinear Euler-Bernoulli beams, Nonlinear Dyn, vol.79, pp.11-29, 2015. ,
Die Knicklast des einseitig eingespannten tangential gedrückten Stabes, Z. Angew. Math. Phys, vol.3, pp.225-228, 1952. ,
Nonconservative Problems of the Theory of Elastic Stability, 1963. ,
On fluctuations in spatial grids, Physikalishe Zeitschrift, vol.13, pp.297-309, 1912. ,
Beck's problem, SIAM J. Appl. Math, vol.37, issue.2, pp.261-262, 1979. ,
Variational formulation of gradient or/and nonlocal higher-order shear elasticity beams, Compos. Struct, vol.105, pp.351-368, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00985687
Analytical length scale calibration of nonlocal continuum from a microstructured buckling model, Z. Angew. Math. Mech, vol.94, issue.5, pp.402-413, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00787446
Discrete systems behave as nonlocal structural elements: bending, buckling and vibration analysis, Eur. J. Mech. A/Solids, vol.44, pp.125-135, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00985856
On non-conservativeness of Eringen's nonlocal elasticity in beam mechanics: correction from a discrete-based approach, Arch. Appl. Mech, vol.84, issue.9, pp.1275-1292, 2014. ,
Discrete and nonlocal elastica, Int. J. Non-linear Mech, vol.77, pp.128-140, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01693906
Revisiting finite difference and finite element methods applied to structural mechanics within enriched continua, Eur. J. Mech. A/Solids, vol.53, pp.107-120, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01459729
Development of analytical vibration solutions for microstructured beam model to calibrate length scale coefficient in nonlocal Timoshenko beams, J. Appl. Phys, vol.114, pp.1-11, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00985623
Remarks on the stability of flexible rods under follower forces, J. Sound Vib, vol.64, pp.462-465, 1979. ,
On certain finite-element like methods for non-conservative sets, Solid Mech. Arch, vol.4, issue.3, pp.173-182, 1979. ,
Controversy associated with the so-called "follower forces": critical overview, Appl. Mech. Rev, vol.58, issue.1-6, pp.117-142, 2005. ,
Relation between non-local elasticity and lattice dynamics, Crystal Lattice Defects, vol.7, pp.51-57, 1977. ,
On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, J. Appl. Phys, vol.54, pp.4703-4710, 1983. ,
Lectures in Analytical Mechanics, 1975. ,
On the stability and instability regions of non-conservative continuous system under partially follower forces, Comput. Methods Appl. Mech. Eng, vol.124, pp.63-78, 1995. ,
Über die angenäherte Lösung von Stabilitätsproblemen im Raummittels der elastischen Gelenkkette, Der Eisenbau, vol.11, pp.437-452, 1920. ,
Conservative spatial chaos of buckled elastic linkages, Chaos, vol.16, issue.033111, pp.1-7, 2006. ,
An equilibrium method for the global computation of critical configurations of elastic linkages, Comput. Struct, vol.121, pp.50-63, 2013. ,
Stability of a gradient elastic beam compressed by non-conservative forces, Z. Angew. Math. Mech, vol.90, issue.3, pp.174-184, 2010. ,
The effect of lumped parameters on beam frequencies, Aeronaut. Quart, vol.14, issue.234, pp.224-240, 1963. ,
Die Knicklast des einseitig eingespannten Stabes mit gleichmässig verteilter, tangentialer Längsbelastung, Z. Angew. Math. Mech, vol.13, pp.581-589, 1962. ,
, Stability Theory, 1970.
On the destabilizing effect of damping on discrete and continuous circulatory systems, J. Sound Vib, vol.333, issue.24, pp.6723-6741, 2014. ,
Dynamics of nonlinear mass-spring chains near the continuum limit, Phys. Lett. A, vol.118, issue.5, pp.222-227, 1986. ,
Dynamics of dense lattices, Phys. Rev. B, vol.36, issue.11, pp.5868-5876, 1987. ,
Accuracy of the finite difference method in stochastic setting, J. Sound Vib, vol.291, issue.1-2, pp.275-284, 2006. ,
Discussion on the paper of "Salvadori M.G., Numerical computation of buckling loads by finite differences, Trans. ASCE, vol.116, pp.625-626, 1951. ,
Studies on nonconservative problems of instabilities of columns by means of Analog computer, Trans. Jpn. Soc. Mech. Eng, vol.37, issue.297, pp.931-940, 1971. ,
Vibration and stability of elastic columns under the combined action of uniformly distributed vertical and tangential forces, J. Sound Vib, vol.38, issue.3, pp.341-355, 1975. ,
Calibration of Eringen's small length scale coefficient for initially stressed vibrating nonlocal Euler beams based on microstructured beam model, J. Phys. D Appl. Phys, vol.46, p.345501, 2013. ,
Quasi-continuum approximations to lattice equations arising from the discrete non-linear telegraph equation, J. Phys. A Math. Gen, vol.33, pp.5925-5944, 2000. ,
Dynamic instability of nanorods/nanotubes subjected to an end follower force, J. Eng. Mech, vol.136, pp.1054-1058, 2010. ,
Eringen's small length scale coefficient for buckling of nonlocal Timoshenko beam based on a microstructured beam model, J. Appl. Phys, vol.114, pp.1-6, 2013. ,
Obtaining Eringen's length scale coefficient for vibrating nonlocal beams via continualization method, J. Sound Vib, vol.333, pp.4977-4990, 2014. ,
, Die Stabilitätskriterien der Elastomechanik. Ingenieur-Archiv, vol.20, pp.49-56, 1952.
Principles of Structural Stability, 1968. ,