Normality Condition in Elasticity

Normality Condition in Elasticity

Strong local minimizers with surfaces of gradient discontinuity appear in variational problems when the energy density function is not rank-one convex. In this paper we show that stability of such surfaces is related to stability outside the surface via a single jump relation that can be regarded as interchange stability condition. Although this relation appears in the setting of equilibrium el...

A sufficient normality condition for Turing's formula

Normality: A Consistency Condition for Concurrent Objects

Linearizability is a consistency condition for concurrent objects (objects shared by concurrent processes) that exploits the semantics of abstract data types. It provides the illusion that each operation applied by concurrent processes takes eeect instantaneously at some point between the beginning and the end of its execution. When compared with other consistency conditions (such as sequential...

Geometric Equivalences to the Asymptotic Normality Condition

The asymptotic normality of the sample mean of iid rv 's is equivalent to the well known conditions of Levy or Feller. More recently, additional equivalences have been developed in terms of the quantile function (qf). And other useful probabilistic equivalences could be cited. The emphasis here is on equivalences, and many other useful and informative equivalences will be developed. Many depend...

Rectangular mixed elements for elasticity with weakly imposed symmetry condition

We present new rectangular mixed finite elements for linear elasticity. The approach is based on a modification of the Hellinger-Reissner functional in which the symmetry of the stress field is enforced weakly through the introduction of a Lagrange multiplier. The elements are analogues of the lowest order elements described in Arnold, Falk and Winther [ Mixed finite element methods for linear ...