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

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

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientific

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 languageEnglish
Title of host publicationProceedings of NSCM 32
Subtitle of host publicationThe 32nd Nordic Seminar on Computational Mechanics 24-25 October, 2019
EditorsAntti H. Niemi, Hannu Koivurova
PublisherUniversity of Oulu
Pages124-126
Number of pages3
ISBN (Electronic)978-952-62-2420-6
Publication statusPublished - Oct 2019
MoE publication typeB3 Non-refereed article in conference proceedings
Event32nd Nordic Seminar on Computational Mechanics, NSCM32 - Oulu, Finland
Duration: 24 Oct 201925 Oct 2019
https://www.oulu.fi/construction/nscm32

Publication series

SeriesMechanical Engineering series, report
ISSN2342-2599

Conference

Conference32nd Nordic Seminar on Computational Mechanics, NSCM32
Abbreviated titleNSCM32
CountryFinland
CityOulu
Period24/10/1925/10/19
Internet address

Fingerprint

Parametric Modeling
Plate Structures
Strain Gradient
Thermoelasticity
Gradient Elasticity
Homogenization Method
Reduced Model
Size Effect
Elasticity Theory
Structural Model
Galerkin Method
Computational Methods
Triangular
Tensor
Numerical Methods
Higher Order
Numerical Examples
Three-dimensional
Form
Model

Keywords

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

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 24-25 October, 2019 (pp. 124-126). University of Oulu. Mechanical Engineering series, report
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 24-25 October, 2019. editor / Antti H. Niemi ; Hannu Koivurova. University of Oulu, 2019. pp. 124-126 (Mechanical Engineering series, 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 = "10",
language = "English",
series = "Mechanical Engineering series, report",
publisher = "University of Oulu",
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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 24-25 October, 2019. University of Oulu, Mechanical Engineering series, report , pp. 124-126, 32nd Nordic Seminar on Computational Mechanics, NSCM32, Oulu, Finland, 24/10/19.

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 24-25 October, 2019. ed. / Antti H. Niemi; Hannu Koivurova. University of Oulu, 2019. p. 124-126 (Mechanical Engineering series, report ).

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientific

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

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SP - 124

EP - 126

BT - Proceedings of NSCM 32

A2 - Niemi, Antti H.

A2 - Koivurova, Hannu

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Niiranen J, Khakalo S, Balobanov V. Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermoelasticity. In Niemi AH, Koivurova H, editors, Proceedings of NSCM 32: The 32nd Nordic Seminar on Computational Mechanics 24-25 October, 2019. University of Oulu. 2019. p. 124-126. (Mechanical Engineering series, report ).