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Physics > Classical Physics

arXiv:1810.06385 (physics)
[Submitted on 15 Oct 2018 (v1), last revised 18 Oct 2018 (this version, v2)]

Title:Two-scale constitutive modeling of a lattice core sandwich beam

Authors:Anssi T. Karttunen, JN Reddy, Jani Romanoff
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Abstract:Constitutive equations are derived for a 1-D micropolar Timoshenko beam made of a web-core lattice material. First, a web-core unit cell is modeled by discrete classical constituents, i.e., the Euler-Bernoulli beam finite elements (FE). A discrete-to-continuum transformation is applied to the microscale unit cell and its strain energy density is expressed in terms of the macroscale 1-D beam kinematics. Then the constitutive equations for the micropolar web-core beam are derived assuming strain energy equivalence between the microscale unit cell and the macroscale beam. A micropolar beam FE model for static and dynamic problems is developed using a general solution of the beam equilibrium equations. A localization method for the calculation of periodic classical beam responses from micropolar results is given. The 1-D beam model is used in linear bending and vibration problems of 2-D web-core sandwich panels that have flexible joints. Localized 1-D results are shown to be in good agreement with experimental and 2-D FE beam frame results.
Comments: This work has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Action grant agreement No 745770 - SANDFECH - Micromechanics-based finite element modeling of sandwich structures. The preprint has been replaced by the accepted manuscript
Subjects: Classical Physics (physics.class-ph)
Cite as: arXiv:1810.06385 [physics.class-ph]
  (or arXiv:1810.06385v2 [physics.class-ph] for this version)
  https://doi.org/10.48550/arXiv.1810.06385
Journal reference: KARTTUNEN, A. T., REDDY, J. N., AND ROMANOFF, J. Two-scale constitutive modeling of a lattice core sandwich beam. Composites Part B: Engineering, 160 (2019), 66-75
Related DOI: https://doi.org/10.1016/j.compositesb.2018.09.098

Submission history

From: Anssi Karttunen [view email]
[v1] Mon, 15 Oct 2018 14:34:05 UTC (1,013 KB)
[v2] Thu, 18 Oct 2018 18:59:52 UTC (1,013 KB)
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