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This work is concerned with various planar deformations of an isotropic sandwich beam, which generally consists of three layers: two stiff skin layers and one soft core layer. When one layer of the sandwich beam is modeled as a beam, the variational-asymptotic method is rigorously used to construct a zeroth-order beam model, which is similar to a generalized Timoshenko beam model capable of capturing the transverse shear deformations but still carries out the zeroth-order approximation. To analyze the planar sandwich beam, the sum of the energies of the two skin layers and one core layer is then formulated with different material and geometric properties and represented by a universal beam model in terms of the core-layer kinematics through interface displacement and stress continuity conditions. As a preliminary validation, two extreme examples are presented to demonstrate the capability and accuracy of this present approach.
목차
ABSTRACT
1. Introduction
2. Analytic Formulation of Isotropic Beam as a Layer using VAM
3. Universal Theory of Isotropic Sandwich Beams
4. Validation Examples
5. Conclusion
References
참고문헌 (9)
참고문헌 신청
Birman, V. / 2018 / Review of Current Trends in Research and Applications of Sandwich Structures / Composites Part B 142:221~240
Sayyad, A. S. / 2017 / Bending, Buckling and Free Vibration of Laminated Composite and Sandwich Beams : A Critical Review of Literature / Composite Structures 171:486~504
Kardomateas, G. A. / 2011 / Three Dimensional Elasticity Solution for Sandwich Beams/Wide Plates with Orthotropic Phases: The Negative Discriminant Case / Journal of Sandwich Structures and Materials 13(6):641~661
Phan, C. N. / 2012 / Analysis of Sandwich Beams with a Compliant Core and with In-Plane Rigidity-Extended High-Order Sandwich Panel Theory Versus Elasticity / Journal of Applied Mechanics 79:041001-1~041001-11
Berdichevsky, V. L. / 1979 / Variational-Asymptotic Method of Shell Theory Construction / PMM 43:664~687
Sayyad, A. S. / 2017 / Bending, Buckling and Free Vibration of Laminated Composite and Sandwich Beams : A Critical Review of Literature / Composite Structures 171:486~504
Kardomateas, G. A. / 2011 / Three Dimensional Elasticity Solution for Sandwich Beams/Wide Plates with Orthotropic Phases: The Negative Discriminant Case / Journal of Sandwich Structures and Materials 13(6):641~661
Phan, C. N. / 2012 / Analysis of Sandwich Beams with a Compliant Core and with In-Plane Rigidity-Extended High-Order Sandwich Panel Theory Versus Elasticity / Journal of Applied Mechanics 79:041001-1~041001-11
Berdichevsky, V. L. / 1979 / Variational-Asymptotic Method of Shell Theory Construction / PMM 43:664~687
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