On Design of Anisotropy Distributions, Applying Lamina Formulas for 2d Result Visualization

Pauli Pedersen; Niels Leergaard Pedersen

On Design of Anisotropy Distributions, Applying Lamina Formulas for 2d Result Visualization

Pauli Pedersen, Niels Leergaard Pedersen

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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Abstract

In rotational transformation of constitutive matrices, some practical quantities are often termed invariants, but the invariance relates to an unchanged reference direction. Rotating this reference direction, the practical quantities do change and this point is clarified with derived rotational transformation for these practical quantities. The research background for optimal anisotropic constitutive matrices is shortly presented. Then design results are applied in a 2D visualization of optimized constitutive matrices, that are distributed in a finite element (FE) model where each element has a specific reference direction. The visualized distributions of physical quantities are; stiffest material direction, material stiffest longitudinal constitutive component, level of anisotropy, absolute or relative shear stiffness and orthotropy test.

Original language	English
Title of host publication	Proceedings of the 10th International Conference on Composite Science and Technology
Editors	A. L. Araújo, J. R. Correia, C. M. Mota Soares
Number of pages	12
Publisher	IDMEC
Publication date	2015
ISBN (Print)	978-989-99424-2-4
Publication status	Published - 2015
Event	10th International Conference on Composite Science and Technology - Instituto Superior Técnico, Lisboa, Portugal Duration: 2 Sept 2015 → 4 Sept 2015 http://www.dem.ist.utl.pt/iccst10/

Conference

Conference	10th International Conference on Composite Science and Technology
Location	Instituto Superior Técnico
Country/Territory	Portugal
City	Lisboa
Period	02/09/2015 → 04/09/2015
Internet address	http://www.dem.ist.utl.pt/iccst10/

Keywords

Optimal design
Anisotropy
Lamina formula
Result visualization

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title = "On Design of Anisotropy Distributions, Applying Lamina Formulas for 2d Result Visualization",

abstract = "In rotational transformation of constitutive matrices, some practical quantities are often termed invariants, but the invariance relates to an unchanged reference direction. Rotating this reference direction, the practical quantities do change and this point is clarified with derived rotational transformation for these practical quantities. The research background for optimal anisotropic constitutive matrices is shortly presented. Then design results are applied in a 2D visualization of optimized constitutive matrices, that are distributed in a finite element (FE) model where each element has a specific reference direction. The visualized distributions of physical quantities are; stiffest material direction, material stiffest longitudinal constitutive component, level of anisotropy, absolute or relative shear stiffness and orthotropy test.",

keywords = "Optimal design, Anisotropy, Lamina formula, Result visualization",

author = "Pauli Pedersen and Pedersen, {Niels Leergaard}",

year = "2015",

language = "English",

isbn = "978-989-99424-2-4",

editor = "Ara{\'u}jo, {A. L. } and Correia, {J. R. } and {Mota Soares}, {C. M. }",

booktitle = "Proceedings of the 10th International Conference on Composite Science and Technology",

publisher = "IDMEC",

note = "10th International Conference on Composite Science and Technology, ICCST/10 ; Conference date: 02-09-2015 Through 04-09-2015",

url = "http://www.dem.ist.utl.pt/iccst10/",

}

On Design of Anisotropy Distributions, Applying Lamina Formulas for 2d Result Visualization. / Pedersen, Pauli; Pedersen, Niels Leergaard.
Proceedings of the 10th International Conference on Composite Science and Technology. ed. / A. L. Araújo; J. R. Correia; C. M. Mota Soares. IDMEC, 2015.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

TY - GEN

T1 - On Design of Anisotropy Distributions, Applying Lamina Formulas for 2d Result Visualization

AU - Pedersen, Pauli

AU - Pedersen, Niels Leergaard

PY - 2015

Y1 - 2015

N2 - In rotational transformation of constitutive matrices, some practical quantities are often termed invariants, but the invariance relates to an unchanged reference direction. Rotating this reference direction, the practical quantities do change and this point is clarified with derived rotational transformation for these practical quantities. The research background for optimal anisotropic constitutive matrices is shortly presented. Then design results are applied in a 2D visualization of optimized constitutive matrices, that are distributed in a finite element (FE) model where each element has a specific reference direction. The visualized distributions of physical quantities are; stiffest material direction, material stiffest longitudinal constitutive component, level of anisotropy, absolute or relative shear stiffness and orthotropy test.

AB - In rotational transformation of constitutive matrices, some practical quantities are often termed invariants, but the invariance relates to an unchanged reference direction. Rotating this reference direction, the practical quantities do change and this point is clarified with derived rotational transformation for these practical quantities. The research background for optimal anisotropic constitutive matrices is shortly presented. Then design results are applied in a 2D visualization of optimized constitutive matrices, that are distributed in a finite element (FE) model where each element has a specific reference direction. The visualized distributions of physical quantities are; stiffest material direction, material stiffest longitudinal constitutive component, level of anisotropy, absolute or relative shear stiffness and orthotropy test.

KW - Optimal design

KW - Anisotropy

KW - Lamina formula

KW - Result visualization

M3 - Article in proceedings

SN - 978-989-99424-2-4

BT - Proceedings of the 10th International Conference on Composite Science and Technology

A2 - Araújo, A. L.

A2 - Correia, J. R.

A2 - Mota Soares, C. M.

PB - IDMEC

T2 - 10th International Conference on Composite Science and Technology

Y2 - 2 September 2015 through 4 September 2015

ER -

On Design of Anisotropy Distributions, Applying Lamina Formulas for 2d Result Visualization

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