Three-dimensional variational analysis of composite structures using bernstein polynomial approximations. Report 1

The paper overviews the previous 3D variational analysis approaches and the numerical results obtained with the use of piecewise polynomial splines. A recently developed 3D displacement-assumed variational analysis approach is also described, where the Bernstein approximation polynomials of arbitrar...

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Veröffentlicht in:Mechanics of composite materials 2001-09, Vol.37 (5-6), p.525-538
1. Verfasser: BOGDANOVICH, A. E
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description The paper overviews the previous 3D variational analysis approaches and the numerical results obtained with the use of piecewise polynomial splines. A recently developed 3D displacement-assumed variational analysis approach is also described, where the Bernstein approximation polynomials of arbitrary degree are used as the shape functions for a 3D hexahedral discrete element of a composite body. (Report 2 deals with AS4/3501-6 carbon-epoxy bonded joints.)
doi_str_mv 10.1023/A:1014229600159
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subjects Computational techniques
Exact sciences and technology
Finite-element and galerkin methods
Fracture mechanics (crack, fatigue, damage...)
Fracture mechanics, fatigue and cracks
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Physics
Solid mechanics
Structural and continuum mechanics
title Three-dimensional variational analysis of composite structures using bernstein polynomial approximations. Report 1
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