Analytical bounds of in-plane Young's modulus and full-field simulations of two-dimensional monocrystalline stochastic honeycomb structures

Duancheng Ma, Philip Eisenlohr, Pratheek Shanthraj, Martin Diehl, Franz Roters, Dierk Raabe

    Research output: Contribution to journalArticle

    • 2 Citations

    Abstract

    Abstract In this study, we focus on the interplay between the honeycomb structure and the crystallographic orientation. Specifically, the in-plane Young's moduli of monocrystalline stochastic honeycombs are calculated by a numerical and an analytical approach. The in-plane Young's moduli of the honeycombs were calculated numerically using a solution scheme for the full-field mechanical equilibrium based on spectral methods and anisotropic crystal elasticity. The analytical approach formulates two alternative assumptions, i.e. uniform force and uniform strain per strut, considers the elastic anisotropy of the base material, and depends on the two-variable distribution of the strut length and inclination angle as the structural parameters characterizing the stochastic honeycombs. The uniform strain assumption agrees closely with the numerical simulation results and constitutes an improvement compared to analytical solutions proposed in previous studies.

    Original languageEnglish (US)
    Article number6642
    Pages (from-to)323-329
    Number of pages7
    JournalComputational Materials Science
    Volume109
    DOIs
    StatePublished - Aug 4 2015

    Profile

    Coccidiostats
    modulus of elasticity
    Honeycomb
    Elastic moduli
    Carbamoyl-Phosphate Synthase (Glutamine-Hydrolyzing)
    Cambendazole
    Honeycomb structures
    honeycomb structures
    struts
    simulation
    Struts
    Young's modulus
    Automobiles
    Traffic Accidents
    Adrenalectomy
    Carcinoid Tumor
    Cholesterol
    Escherichia coli
    elastic anisotropy
    spectral methods

    Keywords

    • Anisotropic elasticity
    • Cellular material
    • Crystallographic orientation
    • Honeycomb

    ASJC Scopus subject areas

    • Materials Science(all)
    • Chemistry(all)
    • Computer Science(all)
    • Physics and Astronomy(all)
    • Computational Mathematics
    • Mechanics of Materials

    Cite this

    Analytical bounds of in-plane Young's modulus and full-field simulations of two-dimensional monocrystalline stochastic honeycomb structures. / Ma, Duancheng; Eisenlohr, Philip; Shanthraj, Pratheek; Diehl, Martin; Roters, Franz; Raabe, Dierk.

    In: Computational Materials Science, Vol. 109, 6642, 04.08.2015, p. 323-329.

    Research output: Contribution to journalArticle

    Ma, Duancheng; Eisenlohr, Philip; Shanthraj, Pratheek; Diehl, Martin; Roters, Franz; Raabe, Dierk / Analytical bounds of in-plane Young's modulus and full-field simulations of two-dimensional monocrystalline stochastic honeycomb structures.

    In: Computational Materials Science, Vol. 109, 6642, 04.08.2015, p. 323-329.

    Research output: Contribution to journalArticle

    @article{7d63bf8d88f141c98e81a817ac1fe298,
    title = "Analytical bounds of in-plane Young's modulus and full-field simulations of two-dimensional monocrystalline stochastic honeycomb structures",
    abstract = "Abstract In this study, we focus on the interplay between the honeycomb structure and the crystallographic orientation. Specifically, the in-plane Young's moduli of monocrystalline stochastic honeycombs are calculated by a numerical and an analytical approach. The in-plane Young's moduli of the honeycombs were calculated numerically using a solution scheme for the full-field mechanical equilibrium based on spectral methods and anisotropic crystal elasticity. The analytical approach formulates two alternative assumptions, i.e. uniform force and uniform strain per strut, considers the elastic anisotropy of the base material, and depends on the two-variable distribution of the strut length and inclination angle as the structural parameters characterizing the stochastic honeycombs. The uniform strain assumption agrees closely with the numerical simulation results and constitutes an improvement compared to analytical solutions proposed in previous studies.",
    keywords = "Anisotropic elasticity, Cellular material, Crystallographic orientation, Honeycomb",
    author = "Duancheng Ma and Philip Eisenlohr and Pratheek Shanthraj and Martin Diehl and Franz Roters and Dierk Raabe",
    year = "2015",
    month = "8",
    doi = "10.1016/j.commatsci.2015.07.041",
    volume = "109",
    pages = "323--329",
    journal = "Computational Materials Science",
    issn = "0927-0256",
    publisher = "Elsevier",

    }

    TY - JOUR

    T1 - Analytical bounds of in-plane Young's modulus and full-field simulations of two-dimensional monocrystalline stochastic honeycomb structures

    AU - Ma,Duancheng

    AU - Eisenlohr,Philip

    AU - Shanthraj,Pratheek

    AU - Diehl,Martin

    AU - Roters,Franz

    AU - Raabe,Dierk

    PY - 2015/8/4

    Y1 - 2015/8/4

    N2 - Abstract In this study, we focus on the interplay between the honeycomb structure and the crystallographic orientation. Specifically, the in-plane Young's moduli of monocrystalline stochastic honeycombs are calculated by a numerical and an analytical approach. The in-plane Young's moduli of the honeycombs were calculated numerically using a solution scheme for the full-field mechanical equilibrium based on spectral methods and anisotropic crystal elasticity. The analytical approach formulates two alternative assumptions, i.e. uniform force and uniform strain per strut, considers the elastic anisotropy of the base material, and depends on the two-variable distribution of the strut length and inclination angle as the structural parameters characterizing the stochastic honeycombs. The uniform strain assumption agrees closely with the numerical simulation results and constitutes an improvement compared to analytical solutions proposed in previous studies.

    AB - Abstract In this study, we focus on the interplay between the honeycomb structure and the crystallographic orientation. Specifically, the in-plane Young's moduli of monocrystalline stochastic honeycombs are calculated by a numerical and an analytical approach. The in-plane Young's moduli of the honeycombs were calculated numerically using a solution scheme for the full-field mechanical equilibrium based on spectral methods and anisotropic crystal elasticity. The analytical approach formulates two alternative assumptions, i.e. uniform force and uniform strain per strut, considers the elastic anisotropy of the base material, and depends on the two-variable distribution of the strut length and inclination angle as the structural parameters characterizing the stochastic honeycombs. The uniform strain assumption agrees closely with the numerical simulation results and constitutes an improvement compared to analytical solutions proposed in previous studies.

    KW - Anisotropic elasticity

    KW - Cellular material

    KW - Crystallographic orientation

    KW - Honeycomb

    UR - http://www.scopus.com/inward/record.url?scp=84938518551&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84938518551&partnerID=8YFLogxK

    U2 - 10.1016/j.commatsci.2015.07.041

    DO - 10.1016/j.commatsci.2015.07.041

    M3 - Article

    VL - 109

    SP - 323

    EP - 329

    JO - Computational Materials Science

    T2 - Computational Materials Science

    JF - Computational Materials Science

    SN - 0927-0256

    M1 - 6642

    ER -