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# CONTINUUM MECHANICS ( STRESS DISTRIBUTION ) - PowerPoint PPT Presentation

CONTINUUM MECHANICS ( STRESS DISTRIBUTION ). Stress vector. State of stress. Stress distribution. Surface traction (loading). Volume V Surface S. Stress ve c tor. x 3. Volume V 0 Surface S 0. Volumetric force. x 2. x 1. GGO theorem.

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### CONTINUUM MECHANICS(STRESS DISTRIBUTION)

State of stress

Stress distribution

Volume V

SurfaceS

Stress vector

x3

Volume V0

SurfaceS0

Volumetric force

x2

x1

GGO theorem

On the body surface stress vector has to be balanced by the traction vector

Stress on the body surface

Coordinates of vector normal to the surface

This equation states statics boundary conditions to comply with the solution of the equation:

This equation (Navier equation) reflects internal equilibrium and has to be fulfilled in any point of the body (structure).

Navier equation traction vector

We have to deal with the set of 3 linear partial differential equations.

There are 6 unknown functions which have to fulfil static boundary conditions (SBC):

We need more equations to determine all 6 functions of stress distribution. To attain it we have to consider deformation of the body.