Potential of Homogenized and Non-local Beam and Plate Theories in Ship Structural Design

Jani Romanoff; Bruno Reinaldo Goncalves; Anssi Karttunen; Junuthula Narasimha Reddy

doi:10.1007/978-981-15-4672-3_11

Potential of Homogenized and Non-local Beam and Plate Theories in Ship Structural Design

Jani Romanoff^*, Bruno Reinaldo Goncalves, Anssi Karttunen, Junuthula Narasimha Reddy

^*Corresponding author for this work

Department of Energy and Mechanical Engineering

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

Abstract

The paper gives an overview of the recent development on application of homogenized, non-local beam and plate theories in design of marine structures. The homogenization considers all steps of the derivation of the prevailing differential equations from kinematics to equilibrium with external loading. This enables an accurate localization process that recovers the microstructural effects from the homogenized solution of the prevailing differential equations. Presently, the method is handle limit states of serviceability and ultimate strength. The theory is validated by full 3D-FE simulations on periodic beams and plates. The theory converges to the physically correct solutions in case of infinite and zero shear stiffness; especially the limit of zero shear stiffness is important as there the traditional Timoshenko beam theory (TBT) fails to predict the response correctly. We also show the case of plate under bi-axial loading where the bifurcation buckling solutions fail to predict correctly the physics, but the non-local framework is able to handle this case.

Original language	English
Title of host publication	Practical Design of Ships and Other Floating Structures - Proceedings of the 14th International Symposium, PRADS 2019 - Volume 2
Editors	Tetsuo Okada, Yasumi Kawamura, Katsuyuki Suzuki
Publisher	Springer
Pages	184-196
Number of pages	13
ISBN (Print)	978-981-15-4671-6
DOIs	https://doi.org/10.1007/978-981-15-4672-3_11
Publication status	Published - 1 Jan 2021
MoE publication type	A4 Conference publication
Event	International Symposium on Practical Design of Ships and Other Floating Structures - Yokohama, Japan Duration: 22 Sept 2019 → 26 Sept 2019 Conference number: 14

Publication series

Name	Lecture Notes in Civil Engineering
Volume	64 LNCE
ISSN (Print)	2366-2557
ISSN (Electronic)	2366-2565

Conference

Conference	International Symposium on Practical Design of Ships and Other Floating Structures
Abbreviated title	PRADS
Country/Territory	Japan
City	Yokohama
Period	22/09/2019 → 26/09/2019

Keywords

Beam theory
Plate theory
Structural design

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1007/978-981-15-4672-3_11

Cite this

Romanoff, J., Goncalves, B. R., Karttunen, A., & Reddy, J. N. (2021). Potential of Homogenized and Non-local Beam and Plate Theories in Ship Structural Design. In T. Okada, Y. Kawamura, & K. Suzuki (Eds.), Practical Design of Ships and Other Floating Structures - Proceedings of the 14th International Symposium, PRADS 2019 - Volume 2 (pp. 184-196). (Lecture Notes in Civil Engineering; Vol. 64 LNCE). Springer. https://doi.org/10.1007/978-981-15-4672-3_11

Romanoff, Jani ; Goncalves, Bruno Reinaldo ; Karttunen, Anssi et al. / Potential of Homogenized and Non-local Beam and Plate Theories in Ship Structural Design. Practical Design of Ships and Other Floating Structures - Proceedings of the 14th International Symposium, PRADS 2019 - Volume 2. editor / Tetsuo Okada ; Yasumi Kawamura ; Katsuyuki Suzuki. Springer, 2021. pp. 184-196 (Lecture Notes in Civil Engineering).

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abstract = "The paper gives an overview of the recent development on application of homogenized, non-local beam and plate theories in design of marine structures. The homogenization considers all steps of the derivation of the prevailing differential equations from kinematics to equilibrium with external loading. This enables an accurate localization process that recovers the microstructural effects from the homogenized solution of the prevailing differential equations. Presently, the method is handle limit states of serviceability and ultimate strength. The theory is validated by full 3D-FE simulations on periodic beams and plates. The theory converges to the physically correct solutions in case of infinite and zero shear stiffness; especially the limit of zero shear stiffness is important as there the traditional Timoshenko beam theory (TBT) fails to predict the response correctly. We also show the case of plate under bi-axial loading where the bifurcation buckling solutions fail to predict correctly the physics, but the non-local framework is able to handle this case.",

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Romanoff, J, Goncalves, BR, Karttunen, A & Reddy, JN 2021, Potential of Homogenized and Non-local Beam and Plate Theories in Ship Structural Design. in T Okada, Y Kawamura & K Suzuki (eds), Practical Design of Ships and Other Floating Structures - Proceedings of the 14th International Symposium, PRADS 2019 - Volume 2. Lecture Notes in Civil Engineering, vol. 64 LNCE, Springer, pp. 184-196, International Symposium on Practical Design of Ships and Other Floating Structures, Yokohama, Japan, 22/09/2019. https://doi.org/10.1007/978-981-15-4672-3_11

Potential of Homogenized and Non-local Beam and Plate Theories in Ship Structural Design. / Romanoff, Jani; Goncalves, Bruno Reinaldo; Karttunen, Anssi et al.
Practical Design of Ships and Other Floating Structures - Proceedings of the 14th International Symposium, PRADS 2019 - Volume 2. ed. / Tetsuo Okada; Yasumi Kawamura; Katsuyuki Suzuki. Springer, 2021. p. 184-196 (Lecture Notes in Civil Engineering; Vol. 64 LNCE).

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

TY - GEN

T1 - Potential of Homogenized and Non-local Beam and Plate Theories in Ship Structural Design

AU - Romanoff, Jani

AU - Goncalves, Bruno Reinaldo

AU - Karttunen, Anssi

AU - Reddy, Junuthula Narasimha

N1 - Conference code: 14

PY - 2021/1/1

Y1 - 2021/1/1

N2 - The paper gives an overview of the recent development on application of homogenized, non-local beam and plate theories in design of marine structures. The homogenization considers all steps of the derivation of the prevailing differential equations from kinematics to equilibrium with external loading. This enables an accurate localization process that recovers the microstructural effects from the homogenized solution of the prevailing differential equations. Presently, the method is handle limit states of serviceability and ultimate strength. The theory is validated by full 3D-FE simulations on periodic beams and plates. The theory converges to the physically correct solutions in case of infinite and zero shear stiffness; especially the limit of zero shear stiffness is important as there the traditional Timoshenko beam theory (TBT) fails to predict the response correctly. We also show the case of plate under bi-axial loading where the bifurcation buckling solutions fail to predict correctly the physics, but the non-local framework is able to handle this case.

AB - The paper gives an overview of the recent development on application of homogenized, non-local beam and plate theories in design of marine structures. The homogenization considers all steps of the derivation of the prevailing differential equations from kinematics to equilibrium with external loading. This enables an accurate localization process that recovers the microstructural effects from the homogenized solution of the prevailing differential equations. Presently, the method is handle limit states of serviceability and ultimate strength. The theory is validated by full 3D-FE simulations on periodic beams and plates. The theory converges to the physically correct solutions in case of infinite and zero shear stiffness; especially the limit of zero shear stiffness is important as there the traditional Timoshenko beam theory (TBT) fails to predict the response correctly. We also show the case of plate under bi-axial loading where the bifurcation buckling solutions fail to predict correctly the physics, but the non-local framework is able to handle this case.

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KW - Plate theory

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A2 - Okada, Tetsuo

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PB - Springer

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Y2 - 22 September 2019 through 26 September 2019

ER -

Romanoff J, Goncalves BR, Karttunen A, Reddy JN. Potential of Homogenized and Non-local Beam and Plate Theories in Ship Structural Design. In Okada T, Kawamura Y, Suzuki K, editors, Practical Design of Ships and Other Floating Structures - Proceedings of the 14th International Symposium, PRADS 2019 - Volume 2. Springer. 2021. p. 184-196. (Lecture Notes in Civil Engineering). Epub 2020 Oct 4. doi: 10.1007/978-981-15-4672-3_11

Potential of Homogenized and Non-local Beam and Plate Theories in Ship Structural Design

Abstract

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Conference

Keywords

UN SDGs

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