Complex variable methods for shape sensitivity of finite element models

Shape sensitivity analysis of finite element models is useful for structural optimization and design modifications. Complex variable methods for shape sensitivity analysis have some potential advantages over other methods. In particular, for first order sensitivities using the complex Taylor series...

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Bibliographic Details
Published in:	Finite elements in analysis and design Vol. 47; no. 10; pp. 1146 - 1156
Main Authors:	Voorhees, Andrew, Millwater, Harry, Bagley, Ronald
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 01.10.2011 Elsevier
Subjects:	Complex Taylor series expansion (CTSE) Complex variables Computer programs Design sensitivities Error detection Exact sciences and technology Finite differencing Finite element method Fourier differentiation Fundamental areas of phenomenology (including applications) Mathematical analysis Mathematical models Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) Numerical analysis. Scientific computation Optimization Physics Sciences and techniques of general use Sensitivity analysis Sensitivity methods Software Solid mechanics Static elasticity (thermoelasticity...) Structural and continuum mechanics Design sensitivities Complex Taylor series expansion (CTSE) Fourier differentiation Finite differencing Sensitivity methods Optimization Geometrical shape Sensitivity analysis Displacement(deformation) Taylor series Modeling Complex variable method Finite element method Complex method Linear elasticity Series expansion Structure modification Potential method Differentiation Mesh generation Structural analysis
ISSN:	0168-874X, 1872-6925
Online Access:	Get full text
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