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Modelling surface orientation and stress at failure of concrete and geological materials. (English) Zbl 1119.74032

The main purpose is to describe the anisotropic decohesion of some geomaterials. The author shows that the decohesion surface describes two different regimes of failure. For the first, the normal at the failure surface is not necessarily in the direction of maximal pricipal stress. The second involves shear for which there are two, or more, solutions for the normal. Experimental data for concrete and ice illustrate the isotropic, respectively anisotropic behaviour of the models.

MSC:

74L10 Soil and rock mechanics
74R10 Brittle fracture
74E10 Anisotropy in solid mechanics
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[1] Rashid, Nuclear Engineering and Design 7 pp 334– (1968)
[2] Armero, International Journal of Solids and Structures 33 pp 2863– (1996)
[3] Larsson, Journal of Engineering Mechanics 122 pp 402– (1996)
[4] Moës, International Journal for Numerical Methods in Engineering 46 pp 131– (1999)
[5] Ortiz, International Journal for Numerical Methods in Engineering 44 pp 1267– (1999)
[6] Regueiro, Finite Elements in Analysis and Design 33 pp 283– (1999)
[7] Wells, Computer Methods in Applied Mechanics and Engineering 190 pp 3591– (2001)
[8] Wells, International Journal for Numerical Methods in Engineering 190 pp 2667– (2001)
[9] Wells, International Journal of Solids and Structures 138 pp 897– (2001)
[10] Schreyer, Computer Methods in Applied Mechanics and Engineering 191 pp 2483– (2002)
[11] Alfaiate, International Journal of Solids and Structures 40 pp 5799– (2003)
[12] Oliver, International Journal for Numerical and Analytical Methods in Geomechanics 28 pp 609– (2004)
[13] de Borst, Engineering Fracture Mechanics 70 pp 1743– (2003)
[14] Formulation of yield surfaces by considering failure modes. In Trends in Computational Structural Mechanics. , (eds). International Center for Numerical Methods in Engineering (CIMNE): Barcelona, Spain, 2001; 208–217.
[15] Kang, Journal of Engineering Mechanics 125 pp 941– (1999)
[16] Planas, Engineering Fracture Mechanics 70 pp 1759– (2003)
[17] Schulson, Journal of Geophysical Research 100 pp 383– (1995)
[18] Schulson, Engineering Fracture Mechanics 68 pp 1839– (2001)
[19] Iliescu, Acta Materialia 52 pp 5723– (2004)
[20] Strain-softening of concrete under multiaxial loading conditions. Ph.D. Dissertation, Eindhoven University of Technology, The Netherlands, 1984.
[21] Rutland, Cement and Concrete Composites 19 pp 149– (1997)
[22] Wawersik, Rock Mechanics 3 pp 61– (1971)
[23] Carol, Journal of Engineering Mechanics 123 pp 765– (1997)
[24] Horii, Journal of Geophysical Research 90 pp 3105– (1985)
[25] Ortiz, Mechanics of Materials 4 pp 67– (1985)
[26] Yazdani, Journal of Engineering Mechanics 116 pp 1435– (1990)
[27] A thermodynamic approach to consitutive modelling of concrete using damage Mechanics and plasticity theory. Ph.D. Dissertation, University of Oxford, 2005.
[28] Kupfer, Journal of Engineering Mechanics 99 pp 853– (1973)
[29] Plasticity in Reinforced Concrete. McGraw Hill: New York, 1982.
[30] Schreyer, Journal of Geophysical Research (2006)
[31] Zuo, International Journal of Solids and Structures 42 pp 1309– (2005)
[32] Renshaw, Nature 412 pp 897– (2001)
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