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 |
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container_title | Mechanics of composite materials |
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creator | BOGDANOVICH, A. E |
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 |
format | Article |
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E</creatorcontrib><title>Three-dimensional variational analysis of composite structures using bernstein polynomial approximations. Report 1</title><title>Mechanics of composite materials</title><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. 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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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