Random Field Modeling of Elastic Properties Using Homogenization

• Published in: Journal of engineering mechanics Vol. 127; no. 1; pp. 27 - 36
• Main Authors: Huyse, Luc, Maes, Marc A
• Format: Journal Article
• Language: English
• Published: Reston, VA American Society of Civil Engineers 01.01.2001
• Subjects: Computational techniques; Cross-disciplinary physics: materials science; rheology; Elasticity and anelasticity; Elasticity and anelasticity, stress-strain relations; Exact sciences and technology; Finite-element and galerkin methods; Materials science; Mathematical methods in physics; Physics; Probability theory, stochastic processes, and statistics; Stochastic analysis; TECHNICAL PAPERS; Treatment of materials and its effects on microstructure and properties; Constitutive equation; Stochastic model; Uncertain systems; Stress analysis; Structural reliability; Homogenization; Mechanical properties; Numerical method; Finite element method; Random field; Randomization; Modelling; Miniaturization; Elastic properties; Microstructure; Mechanical shock
• ISSN: 0733-9399; 1943-7889
• DOI: 10.1061/(ASCE)0733-9399(2001)127:1(27)

This paper addresses the random field characterization of elastic properties. Consistent random field properties of a continuum are derived from a simple stochastic micromechanical model of the continuum. Existing displacement-based techniques to homogenize the discrete microstructure are discussed and a new force-based technique is introduced. The stochastic features of a micromechanically consistent continuum can be considerably different from those based on a straightforward randomization of deterministic constitutive laws. Examples indicate the relevance for structural reliability. The impact of uncertainties associated with selecting micromechanical models is assessed.