Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermoelasticity

Jarkko Niiranen; Sergei Khakalo; Viacheslav Balobanov

Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermoelasticity

Jarkko Niiranen (Corresponding author), Sergei Khakalo, Viacheslav Balobanov

Aalto University

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

Abstract

For three-dimensional cellular beam- and plate-like structures with a triangular microarchitecture, this conference contribution presents a family of two-scale beam and plate models relying on the anisotropic form of Mindlin's strain gradient elasticity theory of form II. A computational homogenization method is adopted for determining the constitutive parameters of the related classical and higher-order constitutive tensors. Isogeometric conforming Galerkin methods are applied for solving the beam and plate problems. Numerical examples illustrate the reliability and efficiency of the dimensionally reduced structural models and numerical methods – in capturing the bending size effects induced by the microarchitecture, in particular.

Original language	English
Title of host publication	Proceedings of NSCM 32
Subtitle of host publication	The 32nd Nordic Seminar on Computational Mechanics
Editors	Antti H. Niemi, Hannu Koivurova
Publisher	University of Oulu
Pages	124-126
ISBN (Electronic)	978-952-62-2420-6
Publication status	Published - Oct 2019
MoE publication type	B3 Non-refereed article in conference proceedings
Event	32nd Nordic Seminar on Computational Mechanics, NSCM32 - Oulu, Finland Duration: 24 Oct 2019 → 25 Oct 2019 https://www.oulu.fi/construction/nscm32

Publication series

Series	University of Oulu: Mechanical Engineering. Report
ISSN	2342-2599

Seminar

Seminar	32nd Nordic Seminar on Computational Mechanics, NSCM32
Abbreviated title	NSCM32
Country/Territory	Finland
City	Oulu
Period	24/10/19 → 25/10/19
Internet address	https://www.oulu.fi/construction/nscm32

Keywords

Lattice microarchitecture
cellular structures
Euler–Bernoulli beam
Timoshenko beam
Kirchhoff plate
Reissner–Mindlin plate
size effects
Strain gradient thermoelasticity
isogeometric analysis

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https://www.oulu.fi/sites/default/files/content/NSCM32_Proceedings_not_archived.pdf

Cite this

Niiranen, J., Khakalo, S., & Balobanov, V. (2019). Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermoelasticity. In A. H. Niemi, & H. Koivurova (Eds.), Proceedings of NSCM 32: The 32nd Nordic Seminar on Computational Mechanics (pp. 124-126). University of Oulu. University of Oulu: Mechanical Engineering. Report https://www.oulu.fi/sites/default/files/content/NSCM32_Proceedings_not_archived.pdf

Niiranen, Jarkko ; Khakalo, Sergei ; Balobanov, Viacheslav. / Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermoelasticity. Proceedings of NSCM 32: The 32nd Nordic Seminar on Computational Mechanics. editor / Antti H. Niemi ; Hannu Koivurova. University of Oulu, 2019. pp. 124-126 (University of Oulu: Mechanical Engineering. Report ).

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title = "Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermoelasticity",

abstract = "For three-dimensional cellular beam- and plate-like structures with a triangular microarchitecture, this conference contribution presents a family of two-scale beam and plate models relying on the anisotropic form of Mindlin's strain gradient elasticity theory of form II. A computational homogenization method is adopted for determining the constitutive parameters of the related classical and higher-order constitutive tensors. Isogeometric conforming Galerkin methods are applied for solving the beam and plate problems. Numerical examples illustrate the reliability and efficiency of the dimensionally reduced structural models and numerical methods – in capturing the bending size effects induced by the microarchitecture, in particular.",

keywords = "Lattice microarchitecture, cellular structures, Euler–Bernoulli beam, Timoshenko beam, Kirchhoff plate, Reissner–Mindlin plate, size effects, Strain gradient thermoelasticity, isogeometric analysis",

author = "Jarkko Niiranen and Sergei Khakalo and Viacheslav Balobanov",

year = "2019",

month = oct,

language = "English",

series = "University of Oulu: Mechanical Engineering. Report ",

publisher = "University of Oulu",

pages = "124--126",

editor = "Niemi, {Antti H.} and Hannu Koivurova",

booktitle = "Proceedings of NSCM 32",

address = "Finland",

note = "32nd Nordic Seminar on Computational Mechanics, NSCM32, NSCM32 ; Conference date: 24-10-2019 Through 25-10-2019",

url = "https://www.oulu.fi/construction/nscm32",

}

Niiranen, J, Khakalo, S & Balobanov, V 2019, Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermoelasticity. in AH Niemi & H Koivurova (eds), Proceedings of NSCM 32: The 32nd Nordic Seminar on Computational Mechanics. University of Oulu, University of Oulu: Mechanical Engineering. Report , pp. 124-126, 32nd Nordic Seminar on Computational Mechanics, NSCM32, Oulu, Finland, 24/10/19. <https://www.oulu.fi/sites/default/files/content/NSCM32_Proceedings_not_archived.pdf>

Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermoelasticity. / Niiranen, Jarkko (Corresponding author); Khakalo, Sergei ; Balobanov, Viacheslav.

Proceedings of NSCM 32: The 32nd Nordic Seminar on Computational Mechanics. ed. / Antti H. Niemi; Hannu Koivurova. University of Oulu, 2019. p. 124-126 (University of Oulu: Mechanical Engineering. Report ).

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

TY - GEN

T1 - Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermoelasticity

AU - Niiranen, Jarkko

AU - Khakalo, Sergei

AU - Balobanov, Viacheslav

PY - 2019/10

Y1 - 2019/10

N2 - For three-dimensional cellular beam- and plate-like structures with a triangular microarchitecture, this conference contribution presents a family of two-scale beam and plate models relying on the anisotropic form of Mindlin's strain gradient elasticity theory of form II. A computational homogenization method is adopted for determining the constitutive parameters of the related classical and higher-order constitutive tensors. Isogeometric conforming Galerkin methods are applied for solving the beam and plate problems. Numerical examples illustrate the reliability and efficiency of the dimensionally reduced structural models and numerical methods – in capturing the bending size effects induced by the microarchitecture, in particular.

AB - For three-dimensional cellular beam- and plate-like structures with a triangular microarchitecture, this conference contribution presents a family of two-scale beam and plate models relying on the anisotropic form of Mindlin's strain gradient elasticity theory of form II. A computational homogenization method is adopted for determining the constitutive parameters of the related classical and higher-order constitutive tensors. Isogeometric conforming Galerkin methods are applied for solving the beam and plate problems. Numerical examples illustrate the reliability and efficiency of the dimensionally reduced structural models and numerical methods – in capturing the bending size effects induced by the microarchitecture, in particular.

KW - Lattice microarchitecture

KW - cellular structures

KW - Euler–Bernoulli beam

KW - Timoshenko beam

KW - Kirchhoff plate

KW - Reissner–Mindlin plate

KW - size effects

KW - Strain gradient thermoelasticity

KW - isogeometric analysis

M3 - Conference article in proceedings

T3 - University of Oulu: Mechanical Engineering. Report

SP - 124

EP - 126

BT - Proceedings of NSCM 32

A2 - Niemi, Antti H.

A2 - Koivurova, Hannu

PB - University of Oulu

T2 - 32nd Nordic Seminar on Computational Mechanics, NSCM32

Y2 - 24 October 2019 through 25 October 2019

ER -

Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermoelasticity

Abstract

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Keywords

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