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1 - Analysis of Stress

from Part I - Fundamentals of Solid Mechanics

Published online by Cambridge University Press:  16 December 2019

Marko V. Lubarda  and
Vlado A. Lubarda
Marko V. Lubarda
Affiliation:
University of Donja Gorica
Vlado A. Lubarda
Affiliation:
University of California, San Diego
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Summary

The analysis of normal and shear stresses over differently oriented surface elements through a considered material point is presented. The Cauchy relation for traction vectors is introduced, which leads to the concept of a stress tensor. The analysis is presented of one-, two-, and three-dimensional states of stress, the principal stresses (maximum and minimum normal stresses), the maximum shear stress, and the deviatoric and spherical parts of the stress tensor.The equations of equilibrium are derived and the corresponding boundary conditions are formulated.

Keywords

Cauchy relationdeviatoric stressequilibrium equationsMohr's circlesnormal stressoctahedral shear stressprincipal stressesshear stressstress tensortraction vector
Type
Chapter
Information
Intermediate Solid Mechanics , pp. 3 - 30
Publisher: Cambridge University Press
Print publication year: 2020

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