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Some Engineering Applications of the Probabilistic Strength of Materials

[+] Author and Article Information
P. Kittl, G. Díaz

Departamento de Ciencia e Ingeniería de Materiales, IDIEM, Universidad de Chile, Casilla 1420, Santiago, Chile

Appl. Mech. Rev 42(11S), S108-S112 (Nov 01, 1989) doi:10.1115/1.3152378 History: Online June 03, 2009

Abstract

Three types of aleatory variables can be considered here as determinants of the probabilistic strength of a structure, namely, material properties, boundary conditions, and external agents. The probability of fracture or yielding of some material subjected to external forces verifies (V1 + V2 , σ) = (V1 , σ) (V2 , σ), where F = 1 – is the cumulative probability of fracture or yielding and σ is a constant stress on the material. In this manner there can be treated general frameworks or truss structures, soil problems, pressure vessels in general, tunnels in the rock, fatigue, and finally seisms caused by sudden earth-crust fractures.

Copyright © 1989 by The American Society of Mechanical Engineers
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