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## Elasticity solution for a functionally graded two-layer beam with simple supported edges

#### İsa ÇÖMEZ [1]

An analytical solution for a functionally graded two-layer beam subjected to transverse loading is handled based on the theory of elasticity. The upper and lower layers are fully bonded to each other and simply supported at the edges. Poisson's ratios are taken as constant and Young's moduli are assumed to vary exponentially through the thickness of the layers. Numerical results for the normal stresses and shear stress are given as a solution and the effect of grading on the stress distributions is investigated. In the functionally graded beam solution it is required that one side of the beam is stiffer while the other side is softer when Young's modulus is assumed to vary exponentially through the thickness. The exponential variation of the elasticity modulus may be symmetrical about the mid-plane when the beam is designated as layered.
Layered beams, composite beams, functionally graded materials, elasticity solution
Journal Section Articles Author: İsa ÇÖMEZ Publication Date : June 1, 2014
 Bibtex @ { tbtkengineering401392, journal = {Turkish Journal of Engineering and Environmental Sciences}, issn = {1300-0160}, eissn = {1303-6157}, address = {}, publisher = {TUBITAK}, year = {2014}, volume = {38}, pages = {373 - 381}, doi = {}, title = {Elasticity solution for a functionally graded two-layer beam with simple supported edges}, key = {cite}, author = {ÇÖMEZ, İsa} } APA ÇÖMEZ, İ . (2014). Elasticity solution for a functionally graded two-layer beam with simple supported edges. Turkish Journal of Engineering and Environmental Sciences , 38 (3) , 373-381 . Retrieved from https://dergipark.org.tr/en/pub/tbtkengineering/issue/35821/401392 MLA ÇÖMEZ, İ . "Elasticity solution for a functionally graded two-layer beam with simple supported edges". Turkish Journal of Engineering and Environmental Sciences 38 (2014 ): 373-381 Chicago ÇÖMEZ, İ . "Elasticity solution for a functionally graded two-layer beam with simple supported edges". Turkish Journal of Engineering and Environmental Sciences 38 (2014 ): 373-381 RIS TY - JOUR T1 - Elasticity solution for a functionally graded two-layer beam with simple supported edges AU - İsa ÇÖMEZ Y1 - 2014 PY - 2014 N1 - DO - T2 - Turkish Journal of Engineering and Environmental Sciences JF - Journal JO - JOR SP - 373 EP - 381 VL - 38 IS - 3 SN - 1300-0160-1303-6157 M3 - UR - Y2 - 2020 ER - EndNote %0 Turkish Journal of Engineering and Environmental Sciences Elasticity solution for a functionally graded two-layer beam with simple supported edges %A İsa ÇÖMEZ %T Elasticity solution for a functionally graded two-layer beam with simple supported edges %D 2014 %J Turkish Journal of Engineering and Environmental Sciences %P 1300-0160-1303-6157 %V 38 %N 3 %R %U ISNAD ÇÖMEZ, İsa . "Elasticity solution for a functionally graded two-layer beam with simple supported edges". Turkish Journal of Engineering and Environmental Sciences 38 / 3 (June 2014): 373-381 . AMA ÇÖMEZ İ . Elasticity solution for a functionally graded two-layer beam with simple supported edges. Turkish Journal of Engineering and Environmental Sciences. 2014; 38(3): 373-381. Vancouver ÇÖMEZ İ . Elasticity solution for a functionally graded two-layer beam with simple supported edges. Turkish Journal of Engineering and Environmental Sciences. 2014; 38(3): 381-373.