Markov Framework for Modeling Uncertainties in Soil Constitutive/Dynamic Behavior. Part 1. Theory

摘要

The focus of this research effort is the construction of mathematical framework to help us understand the role of uncertainties in the constitutive/dynamic behavior of soils. The approach chosen is phenomenological and probabilistic. Markov theory is used to provide a probabilistic framework for the modeling for constitutive uncertainties in dynamic soil behavior. This theory is attractive (i) because it is the probabilistic analogue to the classical physics approach to dynamics, (ii) because it is easily recast into a computational form, and (iii) because it coincides with a concept of a stochastic constitutive model. In addition to the Markov probabilistic framework, estimation theory is used to tie the theoretical model to experimental data. In Part II, technical and computational specifics are discussed.