Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermo-elasticity

Jarkko Niiranen; Sergei Khakalo; Viacheslav Balobanov

Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermo-elasticity

Jarkko Niiranen, Sergei Khakalo, Viacheslav Balobanov

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › 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 platemodels relying on the anisotropic form of Mindlin's strain gradient elasticitytheoryof form II. Acomputational homogenization method is adopted fordetermining the constitutive parameters of the related classical and higher-order constitutivetensors. Isogeometric conforming Galerkin methods areapplied for solving the beam and plate problems. Numerical examples illustrate the reliability and efficiency of the dimensionally reduced structural modelsand numerical methods–in capturing the bending size effects induced by the microarchitecture, in particular.

Original language	English
Title of host publication	Proceedings of the 32nd Nordic Seminar on Computational Mechanics
Editors	A.H. Niemi, H. Koivurova
Pages	124-126
ISBN (Electronic)	978-952-62-2420-6
Publication status	Published - 18 Oct 2019
MoE publication type	B3 Non-refereed article in conference proceedings
Event	Nordic Seminar on Computational Mechanics - Oulu, Finland Duration: 24 Oct 2019 → 25 Oct 2019 Conference number: 32 https://www.oulu.fi/construction/nscm32

Publication series

Name	Raportti / Oulun yliopisto, Konetekniikka
Publisher	Oulun yliopisto
Number	9
ISSN (Print)	2342-2599

Seminar

Seminar	Nordic Seminar on Computational Mechanics
Abbreviated title	NSCM
Country/Territory	Finland
City	Oulu
Period	24/10/2019 → 25/10/2019
Internet address	https://www.oulu.fi/construction/nscm32

Keywords

lattice microarchitecture
cellular structures
Euler-Bernoulli beam
Timoshenko beam
Kircchhoff plate
Reissner-Mindlin plate
size effects
Strain gradient thermoelasticity
isogeometric analysis

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@inproceedings{2f194617221947fbabf029a5ddd35469,

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

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 platemodels relying on the anisotropic form of Mindlin's strain gradient elasticitytheoryof form II. Acomputational homogenization method is adopted fordetermining the constitutive parameters of the related classical and higher-order constitutivetensors. Isogeometric conforming Galerkin methods areapplied for solving the beam and plate problems. Numerical examples illustrate the reliability and efficiency of the dimensionally reduced structural modelsand numerical methods–in capturing the bending size effects induced by the microarchitecture, in particular.",

keywords = "lattice microarchitecture, cellular structures, Euler-Bernoulli beam, Timoshenko beam, Kircchhoff plate, Reissner-Mindlin plate, size effects, Strain gradient thermoelasticity, isogeometric analysis",

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

year = "2019",

month = oct,

day = "18",

language = "English",

series = "Raportti / Oulun yliopisto, Konetekniikka ",

publisher = "Oulun yliopisto",

number = "9",

pages = "124--126",

editor = "A.H. Niemi and H. Koivurova",

booktitle = "Proceedings of the 32nd Nordic Seminar on Computational Mechanics",

note = "Nordic Seminar on Computational Mechanics, NSCM ; 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 thermo-elasticity. in AH Niemi & H Koivurova (eds), Proceedings of the 32nd Nordic Seminar on Computational Mechanics. Raportti / Oulun yliopisto, Konetekniikka , no. 9, pp. 124-126, Nordic Seminar on Computational Mechanics, Oulu, Finland, 24/10/2019.

Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermo-elasticity. / Niiranen, Jarkko; Khakalo, Sergei; Balobanov, Viacheslav.

Proceedings of the 32nd Nordic Seminar on Computational Mechanics. ed. / A.H. Niemi; H. Koivurova. 2019. p. 124-126 (Raportti / Oulun yliopisto, Konetekniikka ; No. 9).

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

TY - GEN

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

AU - Niiranen, Jarkko

AU - Khakalo, Sergei

AU - Balobanov, Viacheslav

N1 - Conference code: 32

PY - 2019/10/18

Y1 - 2019/10/18

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 platemodels relying on the anisotropic form of Mindlin's strain gradient elasticitytheoryof form II. Acomputational homogenization method is adopted fordetermining the constitutive parameters of the related classical and higher-order constitutivetensors. Isogeometric conforming Galerkin methods areapplied for solving the beam and plate problems. Numerical examples illustrate the reliability and efficiency of the dimensionally reduced structural modelsand 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 platemodels relying on the anisotropic form of Mindlin's strain gradient elasticitytheoryof form II. Acomputational homogenization method is adopted fordetermining the constitutive parameters of the related classical and higher-order constitutivetensors. Isogeometric conforming Galerkin methods areapplied for solving the beam and plate problems. Numerical examples illustrate the reliability and efficiency of the dimensionally reduced structural modelsand 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 - Kircchhoff plate

KW - Reissner-Mindlin plate

KW - size effects

KW - Strain gradient thermoelasticity

KW - isogeometric analysis

UR - https://www.oulu.fi/sites/default/files/content/NSCM32_Proceedings_not_archived_0.pdf

M3 - Conference contribution

T3 - Raportti / Oulun yliopisto, Konetekniikka

SP - 124

EP - 126

BT - Proceedings of the 32nd Nordic Seminar on Computational Mechanics

A2 - Niemi, A.H.

A2 - Koivurova, H.

T2 - Nordic Seminar on Computational Mechanics

Y2 - 24 October 2019 through 25 October 2019

ER -

Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermo-elasticity

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Keywords

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