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) |
|---|---|
| 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 |
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ASJC Scopus subject areas
- Mechanical Engineering
Cite this
Plasticity of random inhomogeneous media. / Ostoja-Starzewski, M.; Ilies, H.
In: American Society of Mechanical Engineers, Applied Mechanics Division, AMD, Vol. 200, 01.01.1995, p. 123-132.Research output: Contribution to journal › Conference article
}
TY - JOUR
T1 - Plasticity of random inhomogeneous media
AU - Ostoja-Starzewski, M.
AU - Ilies, H.
PY - 1995/1/1
Y1 - 1995/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0028994207&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0028994207&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:0028994207
VL - 200
SP - 123
EP - 132
JO - American Society of Mechanical Engineers, Applied Mechanics Division, AMD
JF - American Society of Mechanical Engineers, Applied Mechanics Division, AMD
SN - 0160-8835
ER -