Existence of solutions for a finite nonlinearly hyperelastic rod (Q2266611)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solutions for a finite nonlinearly hyperelastic rod |
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Existence of solutions for a finite nonlinearly hyperelastic rod (English)
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1985
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The author considers the longitudinal motion of a straight cylindrical rod consisting of a (nonlinear) hyperelastic material and fixed at both boundaries. He proves the (local) existence of a unique solution of the governing differential equation under certain hypotheses by referring to the related nonlinear integro-differential equation. Further the global existence of solutions is proved by strengthening the original hypotheses. The paper is mainly of interest for mathematicians working in functional analysis.
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local existence
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longitudinal motion
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straight cylindrical rod
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hyperelastic material
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fixed at both boundaries
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nonlinear integro- differential equation
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global existence
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