By P. Stroeven (auth.), A. M. Brandt, I. H. Marshall (eds.)
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Ude de la . allography, 1976, 9, 503-523. 7. als:. mension. Flammarion, Paris, 1975. 8. H. , San Francisco, 1982. Forme, 2! ure. analy7, 4, ~ ~ Freeman, 21 PROPAGATION OF CRACKS IN MODELS OF A REINFORCED CONCRETE BEAM MIECZYSLAW JARONIEK Institute of Applied Mechanics TECHNICAL UNIVERSITY OF ~6DZ, POLAND ABSTRACT This paper reviews the experimental and numerical procedure used to determine the method of calculation of the concrete reinforced beams. Comparisons are made between experimental results (photoelastic model of the reinforced beams) and the results of numerical calculations using the finite element method and the recommendation of Polish Standard PN-84/B-03264.
1000 CD I-l 0 0 Figure 12 1 strain (%) M 28j - 5/5 and VTX-CCV - restored energy (J/m2 ). 2 49 1,5 ~ .... VTX-CCv2 ..... r! III ~ 0,5 0,0 ~----------~~----------'------------T------------' 1 2 o strain (%) Figure 13 M 28j - 5/5 and VTX-CCV - ratio Re. 0,2 5/5 VTX-CCV2 0,0 ~-----------r-----------r----------~-----------' o 2 1 strain (%) Figure 14 : M 28j - 5/5 and VTX-CCV - ratio Rf. embritt1ement, as the strain increases, and so as the damage energy increases, a stage is attained where the energy needed by the cracks to propagate and the energy associated to interfacial and interfilamentary debonding become of the same order of magnitude.
E. that the same amount is released during the two stages; 42 -the restored energy, stored during the loading and released during the unloading. load initial tangent lIIodulus tangent modulus of cycle 1 Figure 2 Tangent initial moduli and residual deflections. load S friction e:Dergy 2Wd ~ strain e:Dergy We deflection Figure 3 Energies definition. The automated computation of those energies takes into account three areas (Fig. 4) to get: -the damage energy Al - A2; -the restored energy A3; Ai for each cycle -the friction energy (loading and unloading) ~ (A2 - A3).
Brittle Matrix Composites 3 by P. Stroeven (auth.), A. M. Brandt, I. H. Marshall (eds.)