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Inhomogeneous flow in metallic glasses is studied in this paper within the context of continuum mechanics. Motivated by similar work for elastic-plastic solids, the possibility of strain localization into a shear band is investigated for a metallic glass which is modelled as a nonlinear viscoelastic solid. The essential features of the localization problem are brought out through an analysis of the constitutive law which reveals a catastrophic softening via free volume creation. Analytic expressions for the stress at catastrophic softening agree very closely with the stress at strain localization calculated from the numerical solution of the full set of shear band equations.
Crack growth in an elastic-plastic solid is studied by a computational model, in which a cohesive zone model is used to characterize the fracture process. The separation work per unit area and the peak stress required for separation are the basic parameters in the cohesive zone model, but also an effect of plastic straining, reducing the peak stress for separation, is incorporated here. This additional effect represents acceleration of the void growth process and nucleation of more voids, resulting from intense plastic straining in the immediate vicinity of the crack tip. The analyses are carried out for conditions of small-scale yielding under plane strain, with the mode I stress intensity factors specified at the loading parameter. Also the effect of a T-stress on crack growth resistance is investigated.
A methodology for circumferentially winding a graphite fiber-epoxy resin composite material around reinforced concrete columns for the purpose of the seismic-design retrofit of existing structures has gained approval for a major program of bridge retrofitting in California. A computational model employing three-dimensional finite element techniques is used for the purpose of simulating the response of such retrofitted columns to seismic loading. The filament-wound composite material is modeled as a linear orthotropic membrane, and the concrete is modeled as a nonlinear 3D continuum governed by 3D constitutive laws which account for smeared cracking. Concrete inside the confined region is allowed a different constitutive relation to account for the different failure surface. The steel reinforcement is modeled using bar elements with one-dimensional kinematic-hardening plasticity laws. The performance of non-retrofitted and of retrofitted columns is compared. Finally, the computed internal stress distributions of circular and rectangular sections of nominally the same flexural capacity are compared.