Evaluation of stresses in a combined plane strain-simple shear test


Boogaard, A.H. van den and Riel, M. van and Huetink, J. (2005) Evaluation of stresses in a combined plane strain-simple shear test. In: Eighth ESAFORM Conference on Material Forming, 27-29 April 2005, Cluj-Napoca, Romania.

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Abstract:A biaxial testing device for sheet metal has been developed that can impose a combination of
plane strain and simple shear deformation. The specimen has a large width to height ratio and a small height
to thickness ratio. The forces in tensile and shear direction are easily measured and the tensile stress and shear
stress can easily be derived. For a full description of stresses, however, the stress in lateral direction should also
be known. This stress is a result of the constraint, imposed by the large width to height ratio and cannot be
measured directly. The strain in the specimen is measured on the surface. By imposing the Drucker normality
principle, the direction of the tangent to the yield surface is known and the unknown stress increment in lateral
direction can be obtained. Computer simulations are performed to test whether the intended approach can
recalculate all stress components from measurement of 3 in-plane strains and just 2 stresses. Without hardening,
good results are obtained for a complete interval between the pure shear point up to a point between uniaxial
stress and the plane strain point on the yield locus. With hardening, the algorithm requires a lot of data points
to avoid drifting from the exact solution. It is noted that, although the normality rule is used, it is not necessary
to have an a-priori knowledge of the yield function
Item Type:Conference or Workshop Item
Engineering Technology (CTW)
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