A method of longitudinal-transverse bend testing of beams of materials with differing resistances
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On the basis of the hypothesis of the kinematic determinability of distribution of strains in the thickness and the static determinability of straight beams with use of the introduced parameter of loading, a solving system of Volterra integral equations was set up with two variable limits relative to the sought-for function, the relationships of stresses to strains making it possible from the results of longitudinal-transverse bend tests to determine the tensile and compression curves of materials with different resistances (composites, ceramics, metals). In the case of plane cross sections the system is simplified and is reduced to algebraic, which generalizes the known system for pure bending also containing derivatives of the experimental functions. For steadily increasing smooth curves a program has been developed with use of interpolating smoothing splines of the third order with the prescribed criterion of approximation.
KeywordsIntegral Equation Smooth Curve Variable Limit Bend Test Volterra Integral Equation
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