Computational modelling and experimental characterisation of heterogeneous materials

A. J. Beveridge, M. A. Wheel, D. H. Nash

Research output: Contribution to conferencePaper

Abstract

Heterogeneous materials can exhibit behaviour under load that cannot be described by classical continuum elasticity. Beams in bending can show a relative stiffening as the beam depth tends to zero, a size effect. Size effects are recognised in higher order continuum elastic theories such as micropolar elasticity. The drawback of higher order theories is the requirement of addition constitutive relations and associated properties that are often difficult to establish experimentally. Furthermore the finite element method, of great benefit in classical elasticity, has shown limitations when applied to micropolar elasticity. The determination of additional constitutive properties and the computational modelling of micropolar elasticity will be discussed in the context of a model heterogeneous material loaded in simple 3 point bending. The model material was created by drilling holes in aluminium bar in a regular pattern, with the hole axis normal to the plane of bending. The bending tests show that a size effect is present. These results are compared against modelling the detailed beam geometries in the finite element package ANSYS, which again shows the size effect. These two bending test are used to extract the additional micropolar elastic material properties. A comparison is then made against analytical solutions,numerical solutions using a micropolar beam finite element and a micropolar plane stress control volume method.It will be shown that the need for extensive experimental testing to determine the additional constitutive properties may not be necessary with the appropriate use of numerical methods.

Conference

Conference3rd International Conference on Advanced Computational Engineering and experimenting, ACE-X 2009
CityRome, Italy
Period22/06/0923/06/09

Fingerprint

Micropolar
Heterogeneous Materials
Computational Modeling
Elasticity
Size Effect
Bending tests
Continuum
Higher Order
Finite Element
Plane Stress
Control Volume
Constitutive Relations
Elastic Material
Drilling
ANSYS
Elastic Properties
Loads (forces)
Numerical methods
Materials properties
Material Properties

Keywords

  • computational modelling
  • experimental characterisation
  • heterogeneous materials
  • computational engineering

Cite this

Beveridge, A. J., Wheel, M. A., & Nash, D. H. (2009). Computational modelling and experimental characterisation of heterogeneous materials. Paper presented at 3rd International Conference on Advanced Computational Engineering and experimenting, ACE-X 2009, Rome, Italy, .
Beveridge, A. J. ; Wheel, M. A. ; Nash, D. H. / Computational modelling and experimental characterisation of heterogeneous materials. Paper presented at 3rd International Conference on Advanced Computational Engineering and experimenting, ACE-X 2009, Rome, Italy, .
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author = "Beveridge, {A. J.} and Wheel, {M. A.} and Nash, {D. H.}",
year = "2009",
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day = "22",
language = "English",
note = "3rd International Conference on Advanced Computational Engineering and experimenting, ACE-X 2009 ; Conference date: 22-06-2009 Through 23-06-2009",

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Beveridge, AJ, Wheel, MA & Nash, DH 2009, 'Computational modelling and experimental characterisation of heterogeneous materials' Paper presented at 3rd International Conference on Advanced Computational Engineering and experimenting, ACE-X 2009, Rome, Italy, 22/06/09 - 23/06/09, .

Computational modelling and experimental characterisation of heterogeneous materials. / Beveridge, A. J.; Wheel, M. A.; Nash, D. H.

2009. Paper presented at 3rd International Conference on Advanced Computational Engineering and experimenting, ACE-X 2009, Rome, Italy, .

Research output: Contribution to conferencePaper

TY - CONF

T1 - Computational modelling and experimental characterisation of heterogeneous materials

AU - Beveridge, A. J.

AU - Wheel, M. A.

AU - Nash, D. H.

PY - 2009/6/22

Y1 - 2009/6/22

N2 - Heterogeneous materials can exhibit behaviour under load that cannot be described by classical continuum elasticity. Beams in bending can show a relative stiffening as the beam depth tends to zero, a size effect. Size effects are recognised in higher order continuum elastic theories such as micropolar elasticity. The drawback of higher order theories is the requirement of addition constitutive relations and associated properties that are often difficult to establish experimentally. Furthermore the finite element method, of great benefit in classical elasticity, has shown limitations when applied to micropolar elasticity. The determination of additional constitutive properties and the computational modelling of micropolar elasticity will be discussed in the context of a model heterogeneous material loaded in simple 3 point bending. The model material was created by drilling holes in aluminium bar in a regular pattern, with the hole axis normal to the plane of bending. The bending tests show that a size effect is present. These results are compared against modelling the detailed beam geometries in the finite element package ANSYS, which again shows the size effect. These two bending test are used to extract the additional micropolar elastic material properties. A comparison is then made against analytical solutions,numerical solutions using a micropolar beam finite element and a micropolar plane stress control volume method.It will be shown that the need for extensive experimental testing to determine the additional constitutive properties may not be necessary with the appropriate use of numerical methods.

AB - Heterogeneous materials can exhibit behaviour under load that cannot be described by classical continuum elasticity. Beams in bending can show a relative stiffening as the beam depth tends to zero, a size effect. Size effects are recognised in higher order continuum elastic theories such as micropolar elasticity. The drawback of higher order theories is the requirement of addition constitutive relations and associated properties that are often difficult to establish experimentally. Furthermore the finite element method, of great benefit in classical elasticity, has shown limitations when applied to micropolar elasticity. The determination of additional constitutive properties and the computational modelling of micropolar elasticity will be discussed in the context of a model heterogeneous material loaded in simple 3 point bending. The model material was created by drilling holes in aluminium bar in a regular pattern, with the hole axis normal to the plane of bending. The bending tests show that a size effect is present. These results are compared against modelling the detailed beam geometries in the finite element package ANSYS, which again shows the size effect. These two bending test are used to extract the additional micropolar elastic material properties. A comparison is then made against analytical solutions,numerical solutions using a micropolar beam finite element and a micropolar plane stress control volume method.It will be shown that the need for extensive experimental testing to determine the additional constitutive properties may not be necessary with the appropriate use of numerical methods.

KW - computational modelling

KW - experimental characterisation

KW - heterogeneous materials

KW - computational engineering

M3 - Paper

ER -

Beveridge AJ, Wheel MA, Nash DH. Computational modelling and experimental characterisation of heterogeneous materials. 2009. Paper presented at 3rd International Conference on Advanced Computational Engineering and experimenting, ACE-X 2009, Rome, Italy, .