### Abstract

Effects of spatial random fluctuations in the yield condition are analyzed in rigid-perfectly plastic media governed, generally, by a Mohr-Coulomb yield condition with cohesion. The solution method is based on a stochastic generalization of the method of slip-lines, whose significant feature is that the deterministic characteristics are replaced by the forward evolution cones containing random characteristics; the actual choice of spacing of a finite difference net of slip-lines defines the mesoscale approximation in any given problem. Comparisons of response of this random medium and of a deterministic homogeneous medium, with a plastic limit equal to the average of the random one, are carried out numerically in several examples of boundary value problems; finite difference methods appropriate for inhomogeneous materials are developed. The major conclusion is that weak material randomness may lead to a relatively stronger scatter in the position and field variables as well as to a larger size of the domain of dependence - effects which are amplified by both, presence of shear traction and inhomogeneity in the boundary data.

Original language | English (US) |
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Pages (from-to) | 123-132 |

Number of pages | 10 |

Journal | American Society of Mechanical Engineers, Applied Mechanics Division, AMD |

Volume | 200 |

State | Published - Jan 1 1995 |

Externally published | Yes |

Event | Proceedings of the 1995 Joint ASME Applied Mechanics and Materials Summer Meeting - Los Angeles, CA, USA Duration: Jun 28 1995 → Jun 30 1995 |

### ASJC Scopus subject areas

- Mechanical Engineering

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## Cite this

*American Society of Mechanical Engineers, Applied Mechanics Division, AMD*,

*200*, 123-132.