A variational characterization of a hyperelastic rod with hard self-contact

We consider an elastic rod, modeled as a curve in space with an impenetrable surrounding tube of radius ρ , subject to a general class of boundary conditions. The impossibility of self-intersection is then imposed as a family of scalar constraints on the physical separation of nonlocal pairs of poi...

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Bibliographic Details
Published in:	Nonlinear analysis Vol. 74; no. 16; pp. 5388 - 5401
Main Authors:	Hoffman, Kathleen A., Seidman, Thomas I.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Ltd 01.11.2011 Elsevier
Subjects:	Calculus of variations and optimal control Contact Derivation Elastic rod Energy of formation Exact sciences and technology Homotopy class Mathematical analysis Mathematical models Mathematics Non-smooth optimization Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Optimization Regularity Scalars Sciences and techniques of general use Tubes Elastic rod Homotopy class Non-smooth optimization Necessary condition Homotopy Nonlinear analysis Optimization method Optimality condition Boundary condition Mathematical model
ISSN:	0362-546X, 1873-5215
Online Access:	Get full text
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