On a Micromechanical Basis of Stochastic Constitutive Laws

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by Martin Ostoja-Starzewski, Michigan State Univ, East Lansing, United States,

Document Type: Proceeding Paper

Part of: Engineering Mechanics

Abstract: A procedure for derivation of stochastic constitutive laws is outlined on the basis of graph-representable linear elastic microstructures. Central to the procedure is the concept of a scale dependent representative volume element, which leads to two response tensors convergent from above and below to the effective moduli of an infinite microstructure. In a given boundary value problem these response tensors are to be used to bound the effective solution at a given scale of resolution.

Subject Headings: Stochastic processes | Constitutive relations | Microstructure | Linear functions | Elastic analysis | Discrete element method | Boundary value problem | Micromechanics |

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