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

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-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 languageEnglish
Title of host publicationPractical Design of Ships and Other Floating Structures - Proceedings of the 14th International Symposium, PRADS 2019 - Volume 2
EditorsTetsuo Okada, Yasumi Kawamura, Katsuyuki Suzuki
Pages184-196
Number of pages13
DOIs
Publication statusPublished - 1 Jan 2021
MoE publication typeA4 Article in a conference publication
EventInternational Symposium on Practical Design of Ships and Other Floating Structures - Yokohama, Japan
Duration: 22 Sep 201926 Sep 2019
Conference number: 14

Publication series

NameLecture Notes in Civil Engineering
Volume64 LNCE
ISSN (Print)2366-2557
ISSN (Electronic)2366-2565

Conference

ConferenceInternational Symposium on Practical Design of Ships and Other Floating Structures
Abbreviated titlePRADS
CountryJapan
CityYokohama
Period22/09/201926/09/2019

Keywords

  • Beam theory
  • Plate theory
  • Structural design

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