Correlation of Unconfined Compressive Strength with Young’s Modulus and Poisson’s Ratio in Gypsum from Sivas (Turkey)

2007 ◽  
Vol 41 (6) ◽  
pp. 941-950 ◽  
Author(s):  
A. T. Arslan ◽  
M. Y. Koca ◽  
T. Aydogmus ◽  
H. Klapperich ◽  
H. R. Yılmaz
2018 ◽  
Vol 2 (2) ◽  
pp. 35
Author(s):  
Arief Rahman ◽  
Fajar Nugraha Muhyiddin

Elastisitas (modulus Young) batuan adalah suatu sifat mekanik yang menggambarkan seberapa besar nilai yang dimiliki suatu batuan untuk bertahan sebelum terjadinya deformasi. Poisson’s ratio merupakan nilai perbandingan antara regangan aksial dan elastisitas yang dimiliki batuan yang mampu menggambarkan litologi batuan dalam formasi. Metode Unconfined Compressive Strength (UCS) yaitu salah satu metode pengujian mekanika batuan dengan cara menekan batuan dari satu arah (horisontal) hingga batuan mengalami keruntuhan atau fracture. Metode ini dilakukan dalam desain Hydraulic Fracturing. Sampel yang digunakan yaitu sampel batuan inti batu pasir dengan syarat panjang (L)/ diameter (D) = 2. Pengolahan data dilakukan dengan melakukan perhitungan dari hasil pembacaan data perubahan panjang (ΔL) dan diameter (ΔD), dan tegangan (σ), untuk mendapatkan nilai dari tiap sampel, yaitu: ɛlateral, ɛaksial, ɛvolumetrik, Poisson’s Ratio, Young’s Modulus. Berdasarkan hasil pengukuran dan pengolahan data, didapatkan nilai tegangan UCS rata-rata yaitu 7,71 Mpa, dan Tegangan elastisitas rata-rata yaitu 6,23 Mpa. Sedangkan nilai Modulus Young rata-rata yaitu 1,15 Gpa, dan Poisson’s Ratio yaitu 0,24. Jenis litologi dari 6 sampel batuan secara keseluruhan dapat diinterpretasikan sebagai Soft Sandstone.


2020 ◽  
Vol 10 (9) ◽  
pp. 3221 ◽  
Author(s):  
Hao Wu ◽  
Bing Dai ◽  
Guoyan Zhao ◽  
Ying Chen ◽  
Yakun Tian

As a powerful numerical analysis tool, PFC (Particle Flow Code) is widely applied to investigate the mechanical behavior of rock specimen or rock engineering under different stress states. To match the macroscopic properties of the PFC model with those of the rock, a set of micro-scale parameters of the model needs to be calibrated. Thus, this paper proposed an optimization method combining Box–Behnken experimental design and desirability function approach to quickly and accurately find the values of the micro-scale parameters. The sensitivity of the main micro-scale parameters (mean value of parallel-bond normal strength σc, ratio of particle normal to shear stiffness Ec, and Young’s modulus at each particle–particle contact kn/ks) and their interactions to the macroscopic responses (uniaxial compressive strength, Young’s modulus, and Poisson’s ratio) were thoroughly analyzed using response surface theory. After that, validation study was conducted on the calibrated model. The results manifest that the uniaxial compressive strength is extremely significantly affected by σc and kn/ks, the Young’s modulus is highly correlated with Ec and kn/ks, and the Poisson’s ratio is most significantly influenced by kn/ks. Additionally, the interaction of micro-scale parameters also has different impact upon the responses. Moreover, the simulated crack behavior around differently shaped openings in rock samples under uniaxial compression is found to be well agreeable with the experimental results, which verifies the reliability of the proposed method.


2006 ◽  
Vol 914 ◽  
Author(s):  
Jiping Ye ◽  
Satoshi Shimizu ◽  
Shigeo Sato ◽  
Nobuo Kojima ◽  
Junnji Noro

AbstractA recently developed bidirectional thermal expansion measurement (BTEM) method was applied to different types of low-k films to substantiate the reliability of the Poisson's ratio found with this technique and thereby to corroborate its practical utility. In this work, the Poisson's ratio was determined by obtaining the temperature gradient of the biaxial thermal stress from substrate curvature measurements, the temperature gradient of the whole thermal expansion strain along the film thickness from x-ray reflectivity (XRR) measurements, and reduced modulus of the film from nanoindentation measurements. For silicon oxide-based SiOC film having a thickness of 382.5 nm, the Poisson's ratio, Young's modulus and thermal extension coefficient (TEC) were determined to be Vf = 0.26, αf =21 ppm/K and Ef =9,7 GPa. These data are close to the levels of metals and polymers rather than the levels of fused silicon oxide, which is characterized by Vf = 0.17 and Er = 69.6 GPa. The alkyl component in the silicon oxide-based framework is thought to act as an agent in reducing the modulus and elevating the Poisson's ratio in SiOC low-k materials. In the case of an organic polymer SiLK film with a thickness of 501.5 nm, the Poisson's ratio, Young's modulus and TEC were determined to be Vf = 0.39, αf =74 ppm/K and Er =3.1 GPa, which are in the typical range of V= 0.34~0.47 with E =1.0~10 GPa for polymer materials. From the viewpoint of the relationship between the Poisson's ratio and Young's modulus as classified by different material types, the Poisson's ratios found for the silicon oxide-based SiOC and organic SiLK films are reasonable values, thereby confirming that BTEM is a reliable and effective method for evaluating the Poisson's ratio of thin films.


2008 ◽  
Vol 33-37 ◽  
pp. 969-974 ◽  
Author(s):  
Bong Bu Jung ◽  
Seong Hyun Ko ◽  
Hun Kee Lee ◽  
Hyun Chul Park

This paper will discuss two different techniques to measure mechanical properties of thin film, bulge test and nano-indentation test. In the bulge test, uniform pressure applies to one side of thin film. Measurement of the membrane deflection as a function of the applied pressure allows one to determine the mechanical properties such as the elastic modulus and the residual stress. Nano-indentation measurements are accomplished by pushing the indenter tip into a sample and then withdrawing it, recording the force required as a function of position. . In this study, modified King’s model can be used to estimate the mechanical properties of the thin film in order to avoid the effect of substrates. Both techniques can be used to determine Young’s modulus or Poisson’s ratio, but in both cases knowledge of the other variables is needed. However, the mathematical relationship between the modulus and Poisson's ratio is different for the two experimental techniques. Hence, achieving agreement between the techniques means that the modulus and Poisson’s ratio and Young’s modulus of thin films can be determined with no a priori knowledge of either.


Author(s):  
Fang Li ◽  
Liuxi Cai ◽  
Shun-sen Wang ◽  
Zhenping Feng

Abstract Finite element method (FEM) was used to study the stress peak of stress S11 (Radial stress component in X-axis) on the steam turbine blade surface of four typical erosion-resistant coatings (Fe2B, CrN, Cr3C2-NiCr and Al2O3-13%TiO2). The effect of four parameters, such as impact velocity, coating thickness, Young's modulus and Poisson's ratio on the stress peak of stress S11 were analyzed. Results show that: the position of tensile stress peak and compressive stress peak of stress S11 are far away from the impact center point with the increase of impact velocity. When coating thickness is equal to or greater than 10μm, the magnitude of tensile stress peak of stress S11 on the four coating surfaces does not change with the coating thickness at different impact velocities. When coating thickness is equal to or greater than 2μm, the magnitude of tensile stress peak of stress S11 of four coatings show a trend of increasing first and then decreasing with the increase of Young's modulus. Meanwhile, the larger the Poisson's ratio, the smaller the tensile stress peak of stress S11. After optimization, When coating thickness is 2μm, Poisson's ratio is 0.35 and Young's modulus is 800 GPa, the Fe2B coating has the strongest erosion resistance under the same impact conditions, followed by Cr3C2-NiCr, CrN, and the Al2O3- 13%TiO2 coating, Al2O3-13%TiO2 coating has the worst erosion resistance.


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