Numerical modeling of functionally graded materials using a variational formulation

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

Technical University of Berlin

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

21 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
Early online date	12 May 2012
DOIs	https://doi.org/10.1007/s00161-012-0244-y
Publication status	Published - Nov 2012

Keywords

functionally graded materials
variational formulation
finite element method
heterogenous materials

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10.1007/s00161-012-0244-y

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title = "Numerical modeling of functionally graded materials using a variational formulation",

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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T1 - Numerical modeling of functionally graded materials using a variational formulation

AU - Abali, B E

AU - Völlmecke, C

AU - Woodward, B

AU - Kashtalyan, M

AU - Guz, I

AU - Müller, W

PY - 2012/11

Y1 - 2012/11

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 - functionally graded materials

KW - variational formulation

KW - finite element method

KW - heterogenous materials

U2 - 10.1007/s00161-012-0244-y

DO - 10.1007/s00161-012-0244-y

M3 - Article

SN - 0935-1175

VL - 24

SP - 377

EP - 390

JO - Continuum Mechanics and Thermodynamics

JF - Continuum Mechanics and Thermodynamics

IS - 4-6

ER -

Numerical modeling of functionally graded materials using a variational formulation

Abstract

Keywords

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