LIMIT CONDITION FOR FIBER-REINFORCED GRANULAR SOILS

Approximate methods for analysis and synthesis of earth structures using such reinforcement as geotextiles or geogrids have been used successfully for more than two decades. Soil reinforcement with short fibers and continuous synthetic filaments has been tried in the past decade. Although the latter has been used with success in construction practice, no techniques for design with such materials exist. This is mainly the result of poor understanding of the fiber-matrix (filament-matrix) interaction and, consequently, lack of appropriate models capable of describing the stress-strain behavior and failure of such composites. An attempt at describing the failure criterion of fiber-reinforced sand is presented. The properties of the constituents are approximated by their standard characteristics : the Mohr-Coulomb failure function for the granular matrix and the Tresca criterion for fibers. The failure of the composite is considered to be because of the collapse of the matrix associated with intact fibers or with fibers failing in slip or the tension mode. An energy-based homogenization technique is used. Results of some preliminary laboratory experiments are also presented. Application of the derived failure criterion is shown in an example of a slope limit load problem.

[1]  G. J. Dvorak,et al.  Generalized Initial Yield Surfaces for Unidirectional Composites , 1974 .

[2]  D. H. Gray,et al.  Mechanics of Fiber Reinforcement in Sand , 1983 .

[3]  P. de Buhan,et al.  Influence of a soil-strip interface failure condition on the yield-strength of reinforced earth , 1989 .

[4]  R. Hill A self-consistent mechanics of composite materials , 1965 .

[5]  Roberto Nova,et al.  A constitutive model for soil reinforced by continuous threads , 1992 .

[6]  K. Tanaka,et al.  Average stress in matrix and average elastic energy of materials with misfitting inclusions , 1973 .

[7]  B. W. Rosen,et al.  Strength of Fiber-Reinforced Composites by Limit Analysis Methods , 1967 .

[8]  E. H. Davis,et al.  Theories of plasticity and the failure of soil masses , 1968 .

[9]  Emmanuel M Detournay,et al.  Limit load in translational failure mechanisms for associative and non-associative materials , 1993 .

[10]  D. H. Gray,et al.  Static Response of Sands Reinforced with Randomly Distributed Fibers , 1990 .

[11]  R M Arenicz,et al.  Laboratory Investigation of Earth Walls Simultaneously Reinforced by Strips and Random Reinforcement , 1988 .

[12]  Guido Pellegrini,et al.  Yield design of reinforced earth walls by a homogenization method , 1989 .

[13]  Z. Hashin Analysis of Composite Materials—A Survey , 1983 .

[14]  Andrzej Sawicki,et al.  Plastic Limit Behavior of Reinforced Earth , 1983 .

[15]  Steven C. Batterman,et al.  Limit behavior of fibrous materials , 1970 .

[16]  B. Budiansky On the elastic moduli of some heterogeneous materials , 1965 .