Limit theorems for gradient-dependent elastoplastic geomaterials

A Coupled Elastoplastic Damage Model for Geomaterials

A triaxial constitutive model is developed for elastoplastic behavior of geomaterials, which accounts for tensile damage. The constitutive setting is formulated in the framework of continuum thermodynamics using internal variables. The interaction of elastic damage and plastic flow is examined with the help of very simple constitutive assumptions: (i) a Drucker-Prager yield function is used to ...

On elastoplastic damage modelling in unsaturated geomaterials

In the context of nuclear waste disposal, the modelling of the behaviour of host rocks and soils still needs improvement. Unsaturated porous geomaterials exhibit particular behaviour when exposed to suction. Their non-linear behaviour may result from two different processes, plasticity which induces irreversible strains and damage which causes a deterioration of their elastic properties. Many e...

Central Limit Theorems for Dependent Random Variables

1. Limiting distributions of sums of 'small' independent random variables have been extensively studied and there is a satisfactory general theory of the subject (see e.g. the monograph of B.V. Gnedenko and A.N. Kolmogorov [2]). These results are conveniently formulated for double arrays Xn k (k = 1, . . . , kn ; n = 1, 2, . . . ) of random variables where the Xn k (k = 1, . . . , kn), the rand...

Central Limit Theorems For Dependent, Heterogeneous Processes With Trending Moments

Limit Theorems for Competitive Density Dependent Population Processes

∣ = 0 respectively. We also use Hardy notation: f(N) ≪ g(N) if f(N) = o(g(N)). • Throughout, I will use ∂i to indicate the partial derivative with respect to the i th cooordinate and D to denote the total derivative operator: if F : R → R, (DF) = (∂jFi)ij • R+ = {x ∈ R K : xi ≥ 0, i = 1, . . . ,K}. • If x,y ∈ R , we write x ≤ y if xi ≤ yi for all i, x < y if x ≤ y and xi < yi for at least one i...