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Title: Comparative study on the bending of sandwich FGM beams made up of different material variation laws using refined layerwise theory
Authors: Garg A.
Chalak H.D.
Chakrabarti, Anupam
Published in: Mechanics of Materials
Abstract: Comparative study is carried out in present work on sandwich functionally graded beams made up of different material property variation laws. For study, power, exponential and sigmoidal laws are used. A fourth-order zigzag theory is used for the analysis. Both in-plane and transverse displacement fields are considered to predict the behavior of thick beams more efficiently. A 3-noded 1-D finite element having 8 degrees of freedom per node is used during analysis. The present model satisfies inter-laminar transverse stress continuity conditions at interfaces along with zero value at the top and bottom surfaces of the beam for transverse shear stresses. The current model is free from the requirement of any kind of penalty or C-1 conditions and hence is computationally efficient. Present results are validated with those available in the literature. Results for exponential and sigmoidal law are new results in present work, which will serve as a benchmark for future studies. Results for stresses and deflection are presented in form of tables. For some cases, stress variation across the thickness of beam are also reported. A modified form of exponential and sigmoidal law named Type-E1 and Type-S2 are also presented in which central core is made up of FGM phase. Among all the material variation laws, sandwich FGM beam having ceramic face sheets and exponentially varying FGM core (C-Type-E1) is found to perform best among all the cases studied.
Citation: Mechanics of Materials(2020), 151
Issue Date: 2020
Publisher: Elsevier B.V.
Keywords: Bending
Exponential beam
Functionally graded beam
Sandwich beam
Stress continuity
Shear stress
Comparative studies
Computationally efficient
Functionally graded beams
Material variation
Stress variations
Transverse displacements
Transverse shear stress
Transverse stress
Degrees of freedom (mechanics)
ISSN: 1676636
Author Scopus IDs: 57208735083
Author Affiliations: Garg, A., Department of Civil Engineering, National Institute of Technology Kurukshetra, Kurukshetra, Haryana 136119, India
Chalak, H.D., Department of Civil Engineering, National Institute of Technology Kurukshetra, Kurukshetra, Haryana 136119, India
Funding Details: Ministry of Human Resource Development, MHRD 2K17/NITK/PHD/6170004.The first author thanks MHRD , GoI, and Director, NIT Kurukshetra, for supporting the present work financially through a Ph.D. scholarship grant ( 2K17/NITK/PHD/6170004 ).
Corresponding Author: Garg, A.; Department of Civil Engineering, India; email:
Appears in Collections:Journal Publications [CE]

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