Numerical modeling of functionally graded materials using a variational formulation

B. E. Abali; C. Völlmecke; B. Woodward; M. Kashtalyan; I. Guz; W. H. Müller

doi:10.1007/s00161-012-0244-y

Numerical modeling of functionally graded materials using a variational formulation

B. E. Abali^*
, C. Völlmecke
, B. Woodward
, M. Kashtalyan
, I. Guz
, W. H. Müller

^*Corresponding author for this work

School of Engineering & Physical Sciences

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

An approach of numerical modeling of heterogeneous, functionally graded materials, by using the finite element method, is proposed. The variational formulation is derived from the generic case so that the implementation of material coefficients, which are functions in space, is realized without any further assumptions. An analytical solution for a simple case is presented and used for validation of the numerical model.

Original language	English
Pages (from-to)	377-390
Number of pages	14
Journal	Continuum Mechanics and Thermodynamics
Volume	24
Issue number	4-6
DOIs	https://doi.org/10.1007/s00161-012-0244-y
Publication status	Published - Nov 2012

Keywords

Finite element method
Functionally graded materials
Heterogeneous materials
Variational formulation

ASJC Scopus subject areas

General Materials Science
Mechanics of Materials
General Physics and Astronomy

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10.1007/s00161-012-0244-y

Cite this

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abstract = "An approach of numerical modeling of heterogeneous, functionally graded materials, by using the finite element method, is proposed. The variational formulation is derived from the generic case so that the implementation of material coefficients, which are functions in space, is realized without any further assumptions. An analytical solution for a simple case is presented and used for validation of the numerical model.",

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AU - Völlmecke, C.

AU - Woodward, B.

AU - Kashtalyan, M.

AU - Guz, I.

AU - Müller, W. H.

PY - 2012/11

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N2 - An approach of numerical modeling of heterogeneous, functionally graded materials, by using the finite element method, is proposed. The variational formulation is derived from the generic case so that the implementation of material coefficients, which are functions in space, is realized without any further assumptions. An analytical solution for a simple case is presented and used for validation of the numerical model.

AB - An approach of numerical modeling of heterogeneous, functionally graded materials, by using the finite element method, is proposed. The variational formulation is derived from the generic case so that the implementation of material coefficients, which are functions in space, is realized without any further assumptions. An analytical solution for a simple case is presented and used for validation of the numerical model.

KW - Finite element method

KW - Functionally graded materials

KW - Heterogeneous materials

KW - Variational formulation

UR - https://www.scopus.com/pages/publications/84868555143

U2 - 10.1007/s00161-012-0244-y

DO - 10.1007/s00161-012-0244-y

M3 - Article

AN - SCOPUS:84868555143

SN - 0935-1175

VL - 24

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EP - 390

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IS - 4-6

ER -

Numerical modeling of functionally graded materials using a variational formulation

Abstract

Keywords

ASJC Scopus subject areas

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