Torsional instability of cantilevered bars subjected to nonconservative loading.
Torsional instability of cantilevered bars, describing effects of distributed nonconservative compressive load at free end
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Torsional instability of cantilevered bars, describing effects of distributed nonconservative compressive load at free end
Torsional instability of cantilevered bars, describing effects of distributed nonconservative compressive load at free end
Destabilization of linear system with N degrees of freedom without damping subjected to nonconservative forces
Bending-torsional flutter of uniform swept wing with velocity component aerodynamic-strip theory
Cantilevered continuous pipe conveying fluid at constant velocity, showing that internal and external damping and Coriolis forces may have destabilizing effect
Sufficient condition for stability of linearly viscoelastic continuum subjected to surface tractions following partial deformation of solid are nonconservative and associated with energy source
Adjoint field in elastic stability problems for nondissipative nonconservative systems
Instability modes of cantilevered bars induced by fluid flow through attached pipes, examining cases of torsional and transverse flutter and torsional buckling
Bending torsional flutter of uniform swept wing with velocity component aerodynamic strip theory
Energy method extended to stability analysis of linear system under action of nonconservative forces
Nonlinear nonconservative systems stability analysis by approximate method based on principle of energy conservation
Stability of equilibrium of nonconservative continuous systems with slight damping
Stability of cantilevered elastic bar with end under compressive follower force, noting shear deformation, rotationary inertia and internal damping forces
Uniform cantilevered bar subject to eccentric compressive follower force, considering warping rigidity, bending-torsional flutter and stability
Theoretical and experimental determination of critical loading by impinging fluid jet and instability of mechanical system
Stability of equilibrium configuration of linearly elastic solid /with or without internal damping/ subjected to partial follower surface tractions
Critical load and instability of smooth and mesh surface mechanical systems subjected to impinging fluid jet, noting static buckling and flutter effects
Lee (1969) has proposed a theory based on the decomposition of the total deformation gradient to an elastic and plastic part, and from it has concluded that the additive decomposition of the strain rates holds only approximately. Lubarda and Lee (1981) have declared that Lee's 'exact finite-deformation kinematics shows the almost universal assumption that the total velocity strain or rate of deformation is the sum of elastic and plastic rates to be in error'. Hence questions are raised regarding the validity of essentially all finite deformation elasto-plasticity theories. The present investigation is concerned with these questions. It is shown that the additive decomposition of the strain rates follows from all common finite elasto-plasticity concepts. Lee's theory is examined, and it is shown that this theory also leads to an additive strain rate decomposition, and therefore, his conclusion stems from misinterpretation. It is found that the elastic and the plastic strain rates considered by Lee do not correspond to the same configuration. They are, therefore, not compatible measures.