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A finite element with embedded localization zones. (English) Zbl 0653.73032
A method is developed by which localization zones can be embedded in four-node quadrilaterals and related elements. This is accomplished by modifying the strain field within the framework of a three-field variational statement. The jumps in strain associated with the localization band are obtained by imposing traction continuity and compatibility within the element; the latter follows naturally from the variational statement. Several one- and two-dimensional applications are shown.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74R99 Fracture and damage
74S30 Other numerical methods in solid mechanics (MSC2010)
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