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

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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 languageEnglish
Title of host publicationProceedings of the 10th International Conference on Composite Science and Technology
EditorsA. L. Araújo, J. R. Correia, C. M. Mota Soares
Number of pages12
PublisherIDMEC
Publication date2015
ISBN (Print)978-989-99424-2-4
Publication statusPublished - 2015
Event10th International Conference on Composite Science and Technology - Instituto Superior Técnico, Lisboa, Portugal
Duration: 2 Sep 20154 Sep 2015
http://www.dem.ist.utl.pt/iccst10/

Conference

Conference10th International Conference on Composite Science and Technology
LocationInstituto Superior Técnico
CountryPortugal
CityLisboa
Period02/09/201504/09/2015
Internet address

Keywords

  • Optimal design
  • Anisotropy
  • Lamina formula
  • Result visualization

Cite this

Pedersen, P., & Pedersen, N. L. (2015). On Design of Anisotropy Distributions, Applying Lamina Formulas for 2d Result Visualization. In A. L. Araújo, J. R. Correia, & C. M. Mota Soares (Eds.), Proceedings of the 10th International Conference on Composite Science and Technology IDMEC.
Pedersen, Pauli ; Pedersen, Niels Leergaard. / On Design of Anisotropy Distributions, Applying Lamina Formulas for 2d Result Visualization. Proceedings of the 10th International Conference on Composite Science and Technology. editor / A. L. Araújo ; J. R. Correia ; C. M. Mota Soares. IDMEC, 2015.
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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.",
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Pedersen, P & Pedersen, NL 2015, On Design of Anisotropy Distributions, Applying Lamina Formulas for 2d Result Visualization. in AL Araújo, JR Correia & CM Mota Soares (eds), Proceedings of the 10th International Conference on Composite Science and Technology. IDMEC, 10th International Conference on Composite Science and Technology, Lisboa, Portugal, 02/09/2015.

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 proceedingArticle in proceedingsResearchpeer-review

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

AU - Pedersen, Pauli

AU - Pedersen, Niels Leergaard

PY - 2015

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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

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Pedersen P, Pedersen NL. On Design of Anisotropy Distributions, Applying Lamina Formulas for 2d Result Visualization. In Araújo AL, Correia JR, Mota Soares CM, editors, Proceedings of the 10th International Conference on Composite Science and Technology. IDMEC. 2015