A finite element with embedded localization zones (Q1108121)
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scientific article; zbMATH DE number 4066473
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A finite element with embedded localization zones |
scientific article; zbMATH DE number 4066473 |
Statements
A finite element with embedded localization zones (English)
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1988
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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.
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modified numerical quadrature scheme
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bifurcation
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loss of ellipticity of incremental equilibrium equations
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failure
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four-node quadrilaterals
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strain field
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three-field variational statement
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jumps in strain
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traction continuity
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compatibility
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0.9055535
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0.8796479
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0.87871426
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0.8755586
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0.87470615
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