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Title: Geometrically exact micropolar Timoshenko beam and its application in modelling sandwich beams made of architected lattice core
Authors: Roy Chowdhury, Shubhankar
Reddy J.N.
Published in: Composite Structures
Abstract: With a view towards modelling nonlinear elastic response of sandwich beams made of architected lattice core, a geometrically exact formulation for micropolar Timoshenko beam is developed. Starting with the assumed deformation field that reflects the classical hypothesis of shear deformable Timoshenko beam theory, a systematic dimensional reduction is carried out without any further approximation in the definition of strain measures and thus follows the phrase geometrically exact. Proposed beam model is then used to investigate the mechanics of sandwich beams made of architected lattice core. We establish that the new beam formulation is capable of representing the nonlinear mechanical behaviour of such sandwich structures through an equivalent single layer beam theory. Two-scale computational homogenization approach based on the FE2 formalism is adopted to obtain the constitutive behaviour of the proposed single layer beam. A set of numerical simulations is carried out to investigate the nonlinear behaviour of the proposed beam as well as to attest to the effectiveness of the homogenized beam formulation. While the present theory is applicable for planar deformation alone, it has no restriction over the finiteness of deformation and micro/macro-rotation of the beam. ¬© 2019 Elsevier Ltd
Citation: Composite Structures(2019), 226(): -
Issue Date: 2019
Publisher: Elsevier Ltd
Keywords: Architected lattice materials
FE2 formalism
Geometric nonlinearity
Geometrically exact formulation
Micropolar Continuum
Sandwich structure
Timoshenko beam
ISSN: 2638223
Author Scopus IDs: 56818427600
Author Affiliations: Roy Chowdhury, S., Advanced Computational Mechanics Laboratory, Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123, United States, Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee, 2
Funding Details: The first author gratefully acknowledges the support of this research through a post-doctoral fellowship from the Oscar S. Wyatt Endowed Chair. Appendix A
Corresponding Author: Reddy, J.N.; Advanced Computational Mechanics Laboratory, Department of Mechanical Engineering, Texas A&M UniversityUnited States; email:
Appears in Collections:Journal Publications [CE]

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