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multiPlas - Dynardo GmbH

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3.3.7.2 Nonlinear stress-strain relation under tensile load perpendicular to the bed joints<br />

For the behaviour under tensile stress perpendicular to the bed joints a stress-strain relation with<br />

exponential softening is available. The stress-strain relation is shown in Fig. 3-19. The conclusions, that<br />

are done in 3.3.6.2 are valid here as well.<br />

Fig. 3-19 stress-strain relation under tensile load perpendicular to the bed joints<br />

3.3.7.3 Nonlinear stress-strain relation in case of shear load of bed joint<br />

The shear failure of the bed joints, which could be observed in the test case, can be described by an<br />

exponential degradation of the cohesion C and linear reduction of the friction angle φ0 to a residual<br />

friction angle φr. The corresponding, assumed stress-strain line is shown in Fig. 3-20. The softening<br />

model for the cohesion C was chosen analogical to the approach described in chapter 3.3.6.2. Hereby it<br />

is assumed that for completely diminishing of the cohesion, a fracture energy GIIfJ (mode II – adhesionshear-strength)<br />

has to be dissipated. This has been experimentally established by van der Pluijm [6-27].<br />

The tension and shear softening are synchronized.<br />

Fig. 3-20 Nonlinear stress-strain relation in case of shear of bed joint<br />

24<br />

USER’S MANUAL, January, 2013

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