Flow plasticity theory: Difference between revisions

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Revision as of 05:00, 3 August 2014

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== Small deformation theory ==

[[File:Rock plasticity compression plain.svg|thumb|right|300px|Stress-strain curve showing typical plastic behavior of materials in uniaxial compression. The strain can be decomposed into a recoverable elastic strain (<math>\varepsilon_e</math>) and an inelastic strain (<math>\varepsilon_p</math>). The stress at initial yield is <math>\sigma_0</math>. For strain hardening materials (as shown in the figure) the yield stress increases with increasing plastic deformation to a value of <math>\sigma_y</math>.]]

Typical flow plasticity theories (for small deformation perfect plasticity or hardening plasticity) are developed on the basis onof the following requirements:

# The material has a linear elastic range.

# The material has an elastic limit defined as the stress at which plastic deformation first takes place, i.e., <math>\sigma = \sigma_0</math>.