PSI - Issue 41

Christos F. Markides et al. / Procedia Structural Integrity 41 (2022) 351–360 Christos F. Markides et al. / Structural Integrity Procedia 00 (2019) 000 – 000

359

9

P frame

P frame =36.5kN

FBD before deformation P frame =36 kN 82 kN 125 kN

0.06

Stamp

– L

L

P j

P frame

0.04

y

F j

Platen Stamp

– L

L

0.02

t =1cm

t

R =5cm

Flat edge of constant length after deformation

FBD

0.00

x

Ο

-0.02 y axis [m]

Stamp Platen

-0.04

Numerical

Fixed level

Stamp

P frame

-0.06

-0.06 -0.04 -0.02 0.00

0.02

0.04

0.06

x axis [m]

Fig. 11. The deformed configuration of the FBD for various load levels.

The solution introduced here does not properly cover the case of an FBD compressed by platens the length of which exceeds that of the disc‟s flat edges. The reason is that in such a case the hypothesis of a constant contact length between the FBD and the loading platens is not realistic, demanding a different approach by adopting, for example, an interface of gradually increasing contact length. Obviously, the type of the additional contact stresses that will be developed on the new contact zones created is not a priori known and must be, also, determined. This issue is the subject of the next step of this ongoing research project, successful implementation of which will provide a complete solution of the FBD under naturally accepted boundary conditions, i.e., for either constant or gradually increasing contact length. References Akazawa, S., 1943. Splitting tensile test of cylindrical specimens. Journal of the Japanese Civil Engineering Institute 6(1), 12 – 19. ASTM, 2008. D 3967-08: Standard test method for splitting tensile strength of intact rock core specimens. ASTM International, West Conshohocken, USA. Carneiro, F.L.L.B., 1943. A new method to determine the tensile strength of concrete. In Proceedings of the 5 th meeting of the Brazilian association for technical rules, 3d. section, 16 September 1943, 126 – 129 (in Portuguese). Chen, R., Dai, F., Qin, J., Lu, F., 2013. Flattened Brazilian disc method for determining the dynamic tensile stress-strain curve of low strength brittle solids. Experimental Mechanics 53(7), 1153 – 1159. Elghazel, A., Taktak, R., Bouaziz, J., 2015. Determination of elastic modulus, tensile strength and fracture toughness of bioceramics using the flattened Brazilian disc specimen: analytical and numerical results. Ceramics International 41(9), 12340 – 12348. Fairhurst, C., 1964. On the validity of the „Bra zil ian‟ test for brittle materials. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts 1, 535 – 546. Hobbs, D.W., 1965. An assessment of a technique for determining the tensile strength of rock. British Journal of Applied Physics 16(2), 259 – 268. Hooper, J.A., 1971. The failure of glass cylinders in diametral compression. Journal of Mechanics and Physics of Solids 19, 179 – 200. Huang, Y.G., Wang, L.G., Lu, Y.L., Chen, J.R., Zhang, J.H., 2015. Semi-analytical and numerical studies on the flattened Brazilian splitting test used for measuring the indirect tensile strength of rocks. Rock Mechanics and Rock Engineering 48(5), 1849 – 1866. Hudson, J.A., 1969. Tensile strength and the ring test. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts 6(1), 91 – 97. ISRM, 1978. Suggested methods for determining tensile strength of rock materials. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts 15, 99 – 103. Jaeger, J.C., Hoskins, E.R., 1966. Stresses and failure in rings of rock loaded in diametral tension or compression. British Journal of Applied Physics 17(5), 685 – 692. Kaklis, K.N., Agioutantis, Z., Sarris, E., Pateli, A., 2005. A theoretical and numerical study of discs with flat edges under diametral compression (flat Brazilian test). In Proceedings of the 5 th GRACM International Congress on Computational Mechanics, Limassol, Cyprus, 29 June - 1 July, 437 – 444.