suppose we have a beam which is made by wrapping a metal on an elliptical core to form a outer rectangular cross-section. The material of the elliptical core is different than that of the outer rectangular cross-section. will the stress function have same value at the interface??
In the sandwich beam bending theory an assumption can be made that the plane sections of the beam remain plane. In this case and under the assumption of small displacements the strain function is linear; the stress function subsequently is piecewise linear but continuous at the interface. The answer to your question, therefore, is yes.
Hello Santosh KUMAR Rana, I wonder what you mean by stress function (value)? If you have a loaded composite beam, the local strain distribution will be continuous or constant (depending on the load conditions), suppose the interface is not braking down or the weaker material reaches its elastic Limits and deforms plastically. Hence you will observe at least a stress discontinuity at the interface and a different function of stress distribution in the different materials or a jump in stress Level (values) depending also on the type of loading (tensile, bending, ...).
hello sir Rüdiger Rentsch. I want to find out the torsional rigidity of a composite beam in terms of stress function. I am using Poisson's equation for this purpose. Can I assume that the stress function will have the same value at the interface for a rectangular solid composite beam with elliptical core??
Hello Santosh KUMAR Rana, for a torsional load within the elasticv Regime of both materials both materials will experience the same angular distortion at the Interface, but not the same stress Level. The stress jump will be larger if the core material is much softer / weaker than the outer metal part. What is the purpose for the elliptical core?
I am just trying to study the effects of torsion in composite bars having non-circular core. Anyways thank you very much sir for your answer.
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