Stress/strain concentration in shear loadings

In summary, a rectangle undergoing pure shear on three edges will become a parallelogram. The FEA results for this loading show stress and strain concentration on the bottom corners, which are considered singularities. It is normal for these singularities to occur, even though in theory the bottom corners are no different from the other vertices. The fixed bottom is simply a boundary condition in FEA to prevent rigid body motions.
  • #1
feynman1
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A rectangle (plane strain/stress) is sheared on 3 edges (bottom fixed) so that it becomes a parallelogram. In theory this is pure shear and should undergo uniform deformation throughout the domain. The FEA result for this pure shear loading still shows stress/strain concentration on the bottom corners. Is that normal and how to get rid of them?
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  • #2
  • #3
Arjan82 said:
These corners are singularities
Why should there be such singularities only on the bottom? In theory (uniform solution) the bottom corners aren't any different from the other 2 vertices. The fixed bottom is just the FEA boundary condition to prevent rigid body motions.
 

What is stress/strain concentration in shear loadings?

Stress/strain concentration in shear loadings refers to the phenomenon where stress and strain are amplified at a specific point or region in a material due to an applied shear load. This can occur when there is a sudden change in geometry or material properties, causing a concentration of stress and strain at that point.

What causes stress/strain concentration in shear loadings?

Stress/strain concentration in shear loadings can be caused by a variety of factors, including changes in material thickness, sharp corners or notches, and changes in material properties such as stiffness or hardness. These changes can create stress risers, which are areas of high stress concentration.

How does stress/strain concentration affect material strength?

Stress/strain concentration can significantly reduce the strength of a material. The amplified stress and strain at the concentrated point can lead to material failure, even if the rest of the material is strong enough to withstand the applied load.

How can stress/strain concentration be minimized?

Stress/strain concentration can be minimized by using design techniques such as fillets, gradual transitions, and reducing sharp corners or notches. These measures help to distribute the stress and strain more evenly throughout the material, reducing the concentration at specific points.

What are the implications of stress/strain concentration in engineering applications?

Stress/strain concentration can have significant implications in engineering applications. It can lead to unexpected and premature failure of materials, which can have safety and economic consequences. Therefore, it is essential for engineers to consider stress/strain concentration in their designs and take appropriate measures to minimize its effects.

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