Voltage deviator

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The stress deviator ( Latin for deviator ) is the part of the stress tensor (or its matrix representation ) that deviates from the hydrostatic part. This means that the stress deviator is itself a tensor that can be represented in matrix form and that plays an essential role in technical mechanics (or more generally for continuum mechanics ) in describing a local stress state.

definition

In the stress tensor (or its matrix notation) the hydrostatic component is precisely the pressure

.

The stress deviator thus follows:

.

The stress deviator is thus formed from the stress tensor minus the acting hydrostatic pressure.

use

In the Strength of the second invariant of the deviator to calculate the playing equivalent stress a crucial role, because you - can be supported by experiments assume that they do not fail due to excessive pressure - especially with metallic materials.

literature

  • Dietmar Gross, Werner Hauger, Peter Wriggers: Technical Mechanics 4: Hydromechanics, elements of higher mechanics, numerical methods . 8th edition. Springer, Berlin Heidelberg 2011, ISBN 3-642-16827-2 .
  • Albrecht Bertram: Solid Mechanics. Revised German edition, Springer Verlag, Berlin / Heidelberg 2017, ISBN 978-3-940961-88-4 .

Web links

See also