New PDF release: Shear Localization in Granular Bodies with Micro-Polar

By J. Tejchman

ISBN-10: 3540705546

ISBN-13: 9783540705543

ISBN-10: 3540705554

ISBN-13: 9783540705550

This e-book provides numerical simulations of shear localization in granular fabrics utilizing a hypoplastic constitutive version more advantageous by way of a attribute size of the micro-structure within the type of an average grain diameter. because of the presence of the attribute size, the boundary price difficulties are well-posed, the numerical effects are mesh-independent (load-displacement diagrams, spacing and thickness of shear zones), and a deterministic measurement influence concerning the ratio among a median grain diameter and specimen dimension is captured.

A entire exposition of the hypoplastic constitutive equation and its extension in the framework of the micro-polar continuum are supplied. difficulties simulated contain: aircraft pressure compression, monotonic and cyclic shearing of an unlimited lengthy layer, direct and easy shearing, direct shearing alongside constitution wall, sandpile, strip beginning and earth strain. a few demanding difficulties are mentioned, e.g. wall boundary stipulations, non-coaxiality and stress-dilatancy rule, and textural anisotropy. furthermore, deterministic and statistical measurement results are investigated.

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18. Shear zones observed in experiments (radiograhs and schematically): a) during active wall rotation around the top (Lord 1969) and b) during active wall rotation around the bottom (Smith 1972) from Leśniewska (2000) Fig. 19. Formation of shear zones in the passive case from X-radiographs (Gudehus and Schwing 1986) Literature Overview on Experiments a) 27 b) Fig. 20. 22, the results of the author’s experiments on the formation of shear zones in passive and active cases are shown (Tejchman 1997).

39. X-radiographs of funnel flow in hoppers (Baxter and Behringer 1990) 44 Literature Overview on Experiments them. This process repeated itself until the zones reached the free boundary in the converging hopper or the transition zone in the parallel-converging silo. In the case of a funnel flow silo, the curvilinear dilatant zones in the material core were almost symmetric about a vertical mid-line. Some of them propagated upwards or crossed each other. The rapture zone occurred mainly in sands with rough grains.

A) b) Fig. 3. 5. It turns out that the failure surface does not coincide with a bound of the accessible stress states (some stress paths may surpass the failure surface). 6. 52 Theoretical Model a) b) Fig. 4. Response envelopes (a) for different axially symmetric stretching units (b) (Bauer 1996) Fig. 5. Response envelopes of a hypoplastic constitutive equation (Wu and Niemunis 1997) Fig. 6. g. 7a) can lie beyond the failure surface. 7). At the point A, the stress path was changed following the path A⇒B.

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Shear Localization in Granular Bodies with Micro-Polar Hypoplasticity by J. Tejchman

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