Young's Modulus of Thermal Barrier Coating and Oxidation Resistant Coating Bonded to Stainless Substrate by Four-Point Bending

Transverse vibrations of a thin loaded rod: theory and experiment

“…In static measurements [21,22], such as the classical tensile or compressive test, a uniaxial stress is exerted on the material, and the elastic modulus is calculated from the transverse and axial deformations as the slope of the stress-strain curve at the origin. The static methods include the three-point bending [17][18][19][20], four-point bending [23], clamped beam, and compression/tension stress, etc. A dynamic method of measuring Young's modulus of stalloy was described in an earlier paper [24] using a loaded fixed-free bar vibrating in flexure and developed to measure Young's modulus of elasticity of a solid [25], carrying a heavy mass of precise finite dimensions at the free end and giving the derivation of the equation of motion.…”

Evaluation of the Accuracy of Young’s Moduli of Thermal Barrier Coatings Determined on the Basis of Composite Beam Theory

“…The techniques in the first group are mechanical loading methods based on the direct measurement of the deformation resistance of the test material. For example, these methods can involve the bending test of a coating system specimen (Ref [1][2][3][4][5][6][7][8], the bending test of a freestanding coating specimen ( , the tension or compression test of a coating system or a freestanding coating (Ref [12][13][14], and the indentation test on the coating ( Ref 4,[15][16][17][18]. The techniques in the second group are the resonance vibration method which is based on the principle that the resonance frequency of a material depends on its elastic modulus.…”

“…Generally, both the YoungÕs modulus and the thickness of the TBC are approximately one order of magnitude lower than those of the substrate. Consequently, the modulus of the TBC when determined on the basis of the composite beam theory is considerably sensitive to experimental errors ( Ref 1,3). In this study, we investigated ways of improving the accuracy of composite beam method for determining the YoungÕs moduli of the TBCs.…”