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
    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

    SeriesUniversity of Oulu: Mechanical Engineering. 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. University of Oulu: Mechanical Engineering. 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 (University of Oulu: Mechanical Engineering. Report ).
    @inproceedings{a22735f469044762a0c1be604342bd72,
    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 = "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",

    }

    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, University of Oulu: Mechanical Engineering. 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 (University of Oulu: Mechanical Engineering. 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

    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

    ER -

    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. (University of Oulu: Mechanical Engineering. Report ).