A singular finite element for analysis of plate bending problem in fracture mechanics

A triangular plate bending finite element is formulated by using the singular solutions, for point loads, of the plate bending equation. The element can be used as a conventional triangular bending element for thin plate analysis. Numerical results are given for both classical plate bending and mode III fracture mechanics problems.

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Résumé On présente la formulation d'un élément fini relatif à une flexion triangulaire d'une plaque en utilisant les solutions singulières de l'équation de flexion de la plaque soumise à des charges ponctuelles. L'élément peut être utilisé comme un élément conventionnel pour l'étude de la flexion triangulaire dans le cas de l'analyse de plaques minces. Des résultats numériques sont fournis dans les deux cas d'une flexion de plaque classique et de problèmes de mécanique de rupture suivant le mode III.

     

Relation of patient pretreatment characteristics to the therapeutic alliance in diverse psychotherapies.

The prediction of the therapeutic alliance from patient pretreatment characteristics was investigated with a sample of elderly depressed outpatients treated in behavioral, cognitive, and brief dynamic psychotherapy (N?=?60). For the sample as a whole, a higher degree of patient defensiveness was related to a lower patient contribution to the alliance as reflected in patient commitment and working capacity. Also, the availability of environmental support was positively associated with greater patient commitment across treatment conditions. The association of patient pretreatment characteristics with alliance was similar across behavioral and cognitive therapy and less similar across brief dynamic and behavioral or cognitive therapy. The nature of the therapeutic alliance in diverse treatment modalities is discussed, and implications for selection criteria and technical strategies for engaging the difficult patient are explored. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Modeling the thermodynamic properties of sodium chloride in steam through extended corresponding states

Recent precise data on anomalous behavior of apparent molar properties of electrolyte solutions in near-critical steam have raised important questions as to how the thermodynamic properties of these systems should be described. Current Gibbs free energy models fail for highly compressible solutions. Here, a Helmholtz free energy formulation is presented as a first step in modeling compressible dilute aqueous electrolyte solutions. Comparisons are made with the known critical line, coexistence curves, apparent molar volumes, and heat capacities of NaCl in steam, and conclusions presented on improving the model.Paper presented at the Tenth Symposium on Thermophysical Properties, June 20–23, 1988, Gaithersburg, Maryland, U.S.A.     

Two Periodic Review inventory Models with Backorders and Stuttering Poisson Demands

Two periodic review inventory models, (R, T) and (nQ, r, T), are analyzed for the situation where demands are characterized by either a Poisson or stuttering Poisson process. In each model, backorders are allowed and the procurement lead time is considered to be a constant. Average annual cost equations are developed for each model and solution techniques presented, so that minimum average annual costs can be determined. A numerical example is also presented. It is shown for large times between reviews that the (R, T) and (nQ, r, T) models are essentially equivalent.     

Crystal chemistry of catalyst materials. I. Composition and unit cell parameters of “REMnO3” phases prepared in air

Oxygen stoichiometry and manganese valences have been determined for “REMnO₃” phases prepared in air where RE are the rare earths from Nd to Lu including Y but excluding Tb. All of the phases had a slight oxygen deficiency and partial Mn²⁺ for Mn³⁺ substitution. This contrasts with “LaMnO₃” which is known to have extensive Mn⁴⁺ for Mn³⁺ substitution when prepared in air.