Symmetry and bifurcation in three-dimensional elasticity. I (Q1838345)
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scientific article; zbMATH DE number 3804965
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetry and bifurcation in three-dimensional elasticity. I |
scientific article; zbMATH DE number 3804965 |
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Symmetry and bifurcation in three-dimensional elasticity. I (English)
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1982
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traction boundary value problem
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three-dimensional nonlinear elasticity
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bifurcation
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geometry
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Lie group theory
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natural state
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static equilibrium loads
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deformations
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action of SO(3)
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axis of equilibrium
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astatic load matrix
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generate five cases
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no axis of equilibrium
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Stopelli's local existence and uniqueness theorem
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subcase (type 0)
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astatic load matrix has three distinct eigenvalues
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existence of four solutions
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exactly one is stable
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subcases (types 1 and 2)
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exactly two eigenvalues are equal and non-zero
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all three are equal and non-zero
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more complex behaviour
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