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2 results

  • 2 - Stress

  • Lester W. Schmerr Jr., Iowa State University
  • Book:
    Advanced Mechanics of Solids
    Published online:
    08 October 2021
    Print publication:
    18 February 2021, pp 28-68

  • Summary

    The distribution of the external forces acting on a body affects both the internal and external deformation of the body. The internal deformations in particular depend on how the forces are distributed throughout the body. Stress is a key concept that gives us a way to characterize those internal force distributions. This chapter will discuss in depth the stress concept, including stress transformations, principal stresses, states of stress, and Mohr's circle. MATLAB® will be used as the principal tool for calculations.

  • 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

  • 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.