Two-scale constitutive modeling of a lattice core sandwich beam

dc.contributorAalto Universityen
dc.contributor.authorKarttunen, Anssi T.en_US
dc.contributor.authorReddy, J. N.en_US
dc.contributor.authorRomanoff, Janien_US
dc.contributor.departmentDepartment of Mechanical Engineeringen
dc.contributor.groupauthorMarine Technologyen
dc.contributor.organizationTexas A&M Universityen_US
dc.description.abstractConstitutive 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.en
dc.description.versionPeer revieweden
dc.identifier.citationKarttunen, A T, Reddy, J N & Romanoff, J 2019, ' Two-scale constitutive modeling of a lattice core sandwich beam ', Composites Part B: Engineering, vol. 160, pp. 66-75 .
dc.identifier.otherPURE UUID: 0aaccbd9-6d29-4240-922c-e52e51f645dden_US
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dc.publisherElsevier Limited
dc.relation.ispartofseriesComposites Part B: Engineeringen
dc.relation.ispartofseriesVolume 160en
dc.subject.keywordConstitutive modelingen_US
dc.subject.keywordFinite elementen_US
dc.subject.keywordLattice materialen_US
dc.subject.keywordSandwich structuresen_US
dc.subject.keywordTimoshenko beamen_US
dc.titleTwo-scale constitutive modeling of a lattice core sandwich beamen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi