Elasto-Plastic analysis of a square plate with hole using higher order shear deformation theory
Hemant B.
Student, Department of Civil Engineering and Applied Mechanics, SGSITS-Indore, RGPV Bhopal (MP), , IN
Vasaikar
Student, Department of Civil Engineering and Applied Mechanics, SGSITS-Indore, RGPV Bhopal (MP), , IN
Dr. Vijay R. Rode
Student, Department of Civil Engineering and Applied Mechanics, SGSITS-Indore, RGPV Bhopal (MP), , IN
Shailendra Singh
Student, Department of Civil Engineering and Applied Mechanics, SGSITS-Indore, RGPV Bhopal (MP), , IN
Keywords: Elasto-Plastic; Higher Order Shear Deformation Theory; Square Plate; Hole; Spread of Plasticity
Abstract
The plates are major load carrying structural elements in building, automobile, aerospace structures, etc. The situations like mat foundations, manholes in tank, certain machine parts, ships, submarines, etc, make it necessary to provide a hole in the plate. The pressure at hole causes stress concentration around holes and a complicated stress distribution throughout the plate. An accurate prediction of behaviour of plate not only improves the safety and economy of these elements, but also the safety and economy of the whole structure. This study intends to model such plates for loads and stresses ranging from elastic to plastic behaviour using a higher order shear deformation theory (HOSDT), which accounts for warping of the cross section. In the Elasto-Plastic analysis, the
structure is designed beyond the yield stress, which allows a redistribution of stresses beyond elastic limit, thus increasing the load carrying capacity. An incremental iterative finite element method has been used for the analysis of such plates. The square plates with clamped and simply supported edges have been studied for a central square hole. The spread of plastic zone is demonstrated for such plates.
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