General helicoidal shells undergoing large, one-dimensional strains or large inextensional deformations (Q789221)
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scientific article; zbMATH DE number 3845191
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | General helicoidal shells undergoing large, one-dimensional strains or large inextensional deformations |
scientific article; zbMATH DE number 3845191 |
Statements
General helicoidal shells undergoing large, one-dimensional strains or large inextensional deformations (English)
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1984
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general helicoidal shells
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reduces determination of rotation field to linear problem
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one field equation is first integral of compatibility equations
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other is first integral of moment equilibrium equations
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stress function fields
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Euler parameters from rigid body dynamics
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equilibrium and compatibility equations
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reduce to six coupled scalar equations involving three rotation functions
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three stress functions
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extensional strains
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stress couples
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four constants
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gross axial displacement
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twist
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net axial force
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torque
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displacement field
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large inextensional bending
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reduces to quadratures
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0.89515793
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0.89218235
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0.8885864
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0.86792374
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0.8552353
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0.85437006
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