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- W2000694047 abstract "Abstract The analysis of a Shanley column is first presented, in order to illustrate the role or rate dependence in the uniqueness of and stability conditions for the solution of the discrete system. Stability conditions for the solution of boundary-value problems for rate-dependent solids are then considered, and a weak formulation of the linear stability criterion is presented. This formulation is well-suited for obtaining solutions to both the instability modes and the corresponding critical loads in systems with a finite number of degrees of freedom, typically obtained by discretization of the continuum. As an application, a stability analysis by the finite-element method of a von Mises solid under plane strain tensile loading is presented. The influence of both the rate sensitivity and the wavelength of the mode of perturbation on the subsequent localization of the deformation in shear bands is discussed." @default.
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- W2000694047 date "1991-01-01" @default.
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- W2000694047 title "Linear stability analysis of rate- dependent discrete systems" @default.
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- W2000694047 doi "https://doi.org/10.1016/0020-7683(91)90034-d" @default.
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