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equilibrium equations

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1 results

1 - Analysis of Stress
from Part I - Fundamentals of Solid Mechanics
Marko V. Lubarda, Vlado A. Lubarda, University of California, San Diego
Book:

Intermediate Solid Mechanics

Published online:

16 December 2019

Print publication:

09 January 2020, pp 3-30
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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.