On minimum work paths in perfect plasticity (Q1058356)
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scientific article; zbMATH DE number 3900282
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On minimum work paths in perfect plasticity |
scientific article; zbMATH DE number 3900282 |
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On minimum work paths in perfect plasticity (English)
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1984
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We show that for a homogeneous isotropic rigid/perfectly plastic solid the work done in achieving a given state of homogeneous finite deformation is least for a path of deformation on which the rate of strain is coaxial with the required final state of strain throughout the deformation process. This result is established in respect of an arbitrary convex yield surface and is illustrated by a specific example.
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locally deformation path of least work
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any prescribed state of deformation
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arbitrary reference configuration
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Cauchy stress remains coaxial with Eulerian principal axes
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homogeneous isotropic rigid/perfectly plastic solid
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arbitrary convex yield surface
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