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A Micromechanical Model of Porous-Brittle Solids

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Abstract

There are many advantages to micromechanical models of material response. These are models that predict the behavior under load of materials by considering the behavior of microscopic structures embedded in an equivalent continuum1,2. We have derived a theoretical model framework that allows quasistatic plastic pore crush and brittle fracture along three orthogonal sets of crack planes. The contribution of internal energy to the stress is included. We discuss the model, a numerical solution method, and a sample application problem, namely response of rock to an underground explosion.

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References

  1. L. G. Margolin, “Microphysical Models for Inelastic Material Response”, Int. J. Eng. Sci., 22: 1171 (1984).

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  2. L. G. Margolin and B. W. Smith, “A Numerical Model for Simulating Dynamic Processes in Rock”, Proceedings 5th Int. Conf. on Numerical Methods in Geomechanics, Nagoya, Japan (1985).

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  3. L. G. Margolin, “Elastic Moduli of a Cracked Body”, Int. J. Fracture, 22: 65 (1983).

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  4. J. K. Mackenzie, “Elastic Constants of a Material Containing Spherical Holes”, Proc. Phys. Soc., B63: 2 (1950).

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  5. M. M. Carroll and A. C. Holt, “Static and Dynamic Pore-Collapse Relations for Ductile Porous Materials”, J. Appl. Phys., 43: 1626 (1971).

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  6. L. G. Margolin, “A Generalized Griffith Criterion for Crack Propagation”, Eng. Fracture Mech., 19: 539 (1984).

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  7. R. B. Demuth, L. G. Margolin, B. D. Nichols, T. F. Adams, and B. W. Smith, “SHALE: A Computer Program for Solid Dynamics”, Los Alamos National Laboratory report LA-10236 (1985).

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  8. B. W. Smith and L. G. Margolin, “A New Technique for Modeling Fracture and Spall”, Proceedings 2nd Containment Symposium, Lawrence Livermore National Laboratory report CONF-830882, 165 (1983).

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© 1986 Plenum Press, New York

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Margolin, L.G., Smith, B.W., DeVault, G.P. (1986). A Micromechanical Model of Porous-Brittle Solids. In: Gupta, Y.M. (eds) Shock Waves in Condensed Matter. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2207-8_44

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  • DOI: https://doi.org/10.1007/978-1-4613-2207-8_44

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-9296-8

  • Online ISBN: 978-1-4613-2207-8

  • eBook Packages: Springer Book Archive

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