Polynomial Based Elasticity Solutions of Beams and their Numerical Validation: A Review
Solution of two-dimensional stress problem is reduced to integration of bi-harmonic equation.A polynomial is chosen as Airy’s stress function.Constants of the polynomial are found by fulfilling the boundary conditions. Stress solutions are obtained from.The paper presents polynomial based stress solutions of beams for complex cases involving offset loads and other combinations with offset loads.The results are compared with those obtained from finite element analysis and conventional methods.The results are in good agreement with each other.
S. Jose and S. Bhat, "Polynomial Based Elasticity Solutions of Beams and their Numerical Validation: A Review", Advanced Materials Research, Vols. 311-313, pp. 2315-2321, 2011